Maths-
General
Easy
Question
Consider the variables x and y and the corresponding bivariate data .
a)Draw a scatter plot for the data.
b)Is there positive, negative or no correlation between x and y?
c)Fit a line of best fit by eye to the data on the scatter plot.
d)Use your line of best fit to estimate:
i)y when x=3.5
ii) y when x=0
iii)x when y=2
iv) x when y=5.5
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)
Hint:
A trend line is used to describe a pattern or a behavior for a scatter plot. If the variables increase or decrease together, then there exists a positive correlation among them. Or else, they have a negative correlation.
We are asked to drawn the scatter plot, find the correlation, best fit line for the model and to estimate the value of when y=3.5, y=0, y=5.5,y=1.5.
The correct answer is: We are asked to drawn the scatter plot, find the correlation, best fit line for the model and to estimate the value of when y=3.5, y=0, y=5.5,y=1.5.
ANSWER:
Step 1 of 4:
The coordinate points corresponding to the table is:
(1,2),(2,2),(3,3),(4,4),(5,4),(6,5),(7,5)
The scatter plot based on the given coordinate points is:
![](data:image/png;base64,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)
Step 2 of 4:
Analyzing the pattern, it is clear that both the variables x and y are increasing and decreasing together. They change is not perfectly linear, but it happens.
Thus, there exists a positive correlation among the variables x and y.
Step 3 of 4:
The trend line that best fits the data is:
![](data:image/png;base64,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)
Step 4 of 4:
The values of x when y=1.5, y=3.5and y=5.5 are:
x=0.5, x=4 and x=7.25.
There is no value of x corresponding to y=0.
The coordinate points are: (0.5, 1.5),(4,3.5),(7.25,5.5).
![](data:image/png;base64,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)
A trend line is called a regression line. If the line has a positive slope or drawn up wards, then the scatter plot has a positive correlation.
Related Questions to study
Maths-
Find the solution of the system of equations.
![y equals 0.75 x squared plus 4 x minus 5](data:image/png;base64,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)
y = 4x - 5
Find the solution of the system of equations.
![y equals 0.75 x squared plus 4 x minus 5](data:image/png;base64,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)
y = 4x - 5
Maths-General
Maths-
Consider this simple bivariate data set.
![](data:image/png;base64,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)
a) Draw a scatter plot for the data.
b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.
Consider this simple bivariate data set.
![](data:image/png;base64,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)
a) Draw a scatter plot for the data.
b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.
Maths-General
General
Choose the correct definition of "Mech anise"
Choose the correct definition of "Mech anise"
GeneralGeneral
Maths-
A tomato grower experiments with a new organic fertilizer and sets up five separate garden beds: A, B, C, D and E. The grower applies different amounts of fertilizer to each bed and records the diameter of each tomato picked. The average diameter of a tomato from each garden bed and the corresponding amount of fertilizer are recorded below.
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)
A )Draw a scatter plot for the data with ‘Diameter’ on the vertical axis and ‘Fertilizer’ on the horizontal axis. Label the points A, B, C, D and E.
b)Which garden bed appears to go against the trend?
c)According to the given results, would you be confident saying that the amount of fertilizer fed to tomato plants does affect the size of the tomato produced?
A tomato grower experiments with a new organic fertilizer and sets up five separate garden beds: A, B, C, D and E. The grower applies different amounts of fertilizer to each bed and records the diameter of each tomato picked. The average diameter of a tomato from each garden bed and the corresponding amount of fertilizer are recorded below.
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)
A )Draw a scatter plot for the data with ‘Diameter’ on the vertical axis and ‘Fertilizer’ on the horizontal axis. Label the points A, B, C, D and E.
b)Which garden bed appears to go against the trend?
c)According to the given results, would you be confident saying that the amount of fertilizer fed to tomato plants does affect the size of the tomato produced?
Maths-General
Maths-
Find the solution of the system of equations.
![y equals negative 5 x squared plus 6 x minus 3](data:image/png;base64,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)
Y = - 4x - 3
Find the solution of the system of equations.
![y equals negative 5 x squared plus 6 x minus 3](data:image/png;base64,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)
Y = - 4x - 3
Maths-General
Maths-
Consider the variables x and y and the corresponding data
a) Draw a scatter plot for the data.
b) Is there a positive, negative or no correlation between x and y?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA88AAABaCAMAAACxFpScAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////f39xAQEM7W1t7e3oR7hJycnBkZGbW1vSkpKVpSUu/m5joxMYyUlN7m5q2UQnuUQq2UEHuUEFoZSuZr5uYQ5uZrteYQtebWjOZajObWOuZaOpTvpbVaGRlapebWY+ZaY+bWEOZaEJTFpYxaGRlae61ae1qM5hlazkpCSiEZGUpSUhnvYwje5lrOpRnOY3N7c2tra61a77VaSuac5rWU5kpapeZC5lo6GXtalOacteZCtXta761axYxaSoyU5kpae1oQGXtaxRBaSkpazrW1rQAAAISEjBAQQs7FxVrv5q1anFqt5hla71rO5rXm3krvY0qtYzFSEEreMa0ZnEoZ73sZnErOYwAICKWlnDo6QoyUvRmMEDFaSkpa773epSkxOmNjWjEQQimMpQiMpVpjOlpjEK3vEHvvEK3FEHvFEEqMEK2lrbWUc+/evealjOYpjOalOuYpOrUpGRkppe+9vealY+YpY+alEOYpEIwpGRkpexmMMSmM5lqMtRmMcxnvEBkpzhmtEJSUc+aEjOYIjOaEOuYIOrUIGRkIpeaEY+YIY+aEEOYIEIwIGRkIewiM5lqMlBmMUhnOEBkIzr29xSmtpSnvpQjvpQitpSnOpQjOpbWMva3vc63vMbUpSkoppa0p7+/F73vvMXvvc3sp74zv763FMXvFMa3Fc4wpSkope60pxXvFc3spxYzF70qMMUqMcxBjEErvEK0pe0opznspe0qtEK3vUrUISkoIpa0I73vvUnsI74zvzq3FUowISkoIe60IxXvFUnsIxYzFzkqMUhBCEErOEK0Ie0oIznsIeymt5inv5lqttRmtMVrvtRmtcxnvMRkp7wgxSgit5inO5lqtlFrvlBmtUhnOMRkI73Occ+b3Uub3Geb3jEqtMa2ElLW95ikQCGNCSub3vdbF73tScxApEM7etd735jEpEAgIGWtSWvfm9973/9be7/f35ggZGTopKc7m1hAZCHN7hJyljBAACJylnMW1vVpSYxAQAM7e3v/3/wAAAPgJbg4AAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAg/UlEQVR4Xu1dz3KjvpYGTGP+vwfxBt7gbgLFdlY0q3gxO96in8Fvd7e3KlM1k4pvqvoXT+KuOd+RsCXsvt0djrOYywcGgR19OUcSR0cSkrNgwYIFCxYsWLBgwYIFCxYsWLBgwYIFCxYsWLBgwYIFCxYsWLBgwYIFCxYsWLBgwYIFCxYsWLBgwYIF//Zog0/DoM83x6cRfSY+T6iFaQ4+j+nQ6jJsoqi9z8FjXX8W1acRfSLT51F9Xjr9f0yo7hNlKnQZNrFJw7bd8daGk223U19IbG1bec1PmMbfyGztED0Qnb4wecSZ2tI7jEw7k0ZQcWprhy4+JZRJJS5TuO2Gk/puybRrB68kwvHqlkxtFA2nC5PI3sZffHxrm7pana7MuO1t/MXHt3aXblxdiM9INrEO3RyNF+rQjeGn1x5cN0EQPevQreF7pQ7dGqWX69Ct4T8OOnRz9P0nCRV6jQ7dHPG1bF5sdIBBBf6073mXQ/NulmeTSRh53+sQcEMiKs+er0MMxSKtOIZdnk8S0S6NpjZluiWTf2fm/VsyOX36M6HMXQDh+89kMncRbIrLbOYWhn12XXevPwpi1IBpnynuE9NekgRYvRjl2XVuRwT7bGSTE5Gw4hjHV6M8a3HUR9+Tgltaz6iR5QZMzvEu0CECCG7GRPZ5klAnKjOgv5+De9M+35LIcTeWKVbYb4xK+Ck0ZkgR3hGNd69DBDAgdn0ShWWfob9TSAUEkT2e2xjBNEolz2TZZyYag+osh/J1pUOAEb84k+8Z5fmUE26RJZz+5VyeVTpxQO98V4bWqm+r+K8QSTBRfTvRoTNs+5wkLm0JBEYweZKsN37rLPtMIikmGeEM+C//qUMA1Jf7YIJmhZHdGf4zGAhJzmTCaI3yrIie9tjEmWz7fOKhTVwmuzyTUMmz77Ns+p4c+v4fOkRMvCU58QDE5/u5FKtlnzn2czanjPicJHQSyYlX7bNj2ud9mDVNk2Vh4ux3WdZkB8lGBKu+DTH9rDlKqdGE/2DZZ+fYxJttIJZiJoI7O+8Tw1NWhSLpZYPs85MOKqYWadWE8qXsu2Wfk/Dv4Gmyv+/EGwX8R6s8u21TVWWGEq3vyaFPz0KhPCW7JlAlizLiUJUl5XmR7BF633SIgHSihKJiBCYnD7abbXOke/r7ebjmPydFfI7czQ9p13kNZ/3D2iuP+gsRWO3bZMYOfd1TbVVKujP81PKf26Kr686rbtESbbaHIclIlF3kDRyQxfH1uw4RKPq86giPmTjRk+0/tz14CP89iFNN6tthv239Q7qlh7y+JwfTf6Z08suorshYIfPlzcPBb4oQJW4+bPtMTA0x4VlBRCX69ruilcke++JKf5Vln10yy31dUx6he2FaPl/Wz2egeT/7zyTeLtjUKUSTkM3E3rfat5MqrYImrb2Gqj36nhgu7DOVs9o7yBPBPp+fxhT9fb/ZxHHly1OV74Z9doN1GgNeRBleGP5dpkNAu0l39DjJ1qVotlMw27cpkUKUMlVjc7M7Km+ruN+JqNL2n919GDzUWzw5SJUvcdDEdb01n5czsCku/+G93b7tOF8j8LmOX0qrdWqfk8zrV6oQyOJotm87h+pA7kPY1xshNZrIjPKMvOEkWbpGr6p43p/4z0ieJL+Fp77/btrnluq/eZInuwKZUhhtZNrng7fdk952UXGDhLLss7tP6LHLVpPqU2lEj5F99k7XAjDtM/J2si/Vk8NpK6r47o/0vJfxx9zNlf5ncqqNuCFf+dqRlt0sRsutZJGetm87w+PLjiSTkM2C3b4dqDELh/rOeJxIIVgbY2hRtoZtWXjBDYSy/GciLrQ0UKQsSs+QyddWeZeSuykNq//ZDboiJ7I2Km5Q4e5fzEqH4/woldV0HdDSvXAtUwEJO9N/BlXQ/Q+5euROZKzBNuqEVBlf7X82GsnwPHH8AtXgQ3yguo+oWr/Z/c9UxG5kn632bTdXzkt490KVe31TDMHass/OsWranuyzOJHjd190iJgcfxuVYU7mTF57P8pXUyaKnvak6cmISVOt1qZ9Hrz1gQpA9vhF/slh2mfWWVJ2yj7DUKNYtA/vgUSD32X7duNpJlUfyIuOipYA9tfq206xMdwyFvWeKvyHqnniS/2NBEz7TGKSLXt84KYB6WziP6Q6pMBitOviKE1E5fnRqBtSLvmr8o9snyWyhgXLf3bCqK6jOCB7JppEjC+dIZPKFJQJ2QkThtUe5uRx/RDsd8XbDZ67Vv8zRHoaa8FkvsiR2TtHOkt4FJf9z0EXq5oALp+cZHMn1PT2a/+Zt6T0upTbuEVYT5iMD6PC4N2kPcxq3+bciM9hbZYHKUz85zAenLa/Sft265nt2/6hKeraK+mRr2+JgZLflAnqc9z7NVUW5RPKbt/e9XW03Tb04BBngn0+JT+ih30mMSnJopoK4BPKtUgPyDDxn9EOrJ4cuKLT6kWoIedq//PUfwajv6k9VAn4Qg6X9nmN8oyQLKz2bdYjWrkfQnkmJ7gz+2qPFRWwVeGh2qhvicHuf6YH8Sooag+lTJrK8p+V+pISzqV8QlnjPcm2pXWNej2axYRh2GcW6anstglzojyTZJTpY4lyZvvPUFnWoUGbgnRBFbcgkkq0zdXxYZb/zERJVXfls7MXTkFzfBhTHdb9Tezzyup/Zj06h7S5QS6x7DPl+opKAvvP8lTm+G2tspYqqPJ108n4bdZe25NNkddea/jPoPG3ae1VLbK9NMz3qyBSUr4qq3kfcfMv7DOqxbNx4T+THSPDj6YOvlwV9NgQkS+Jr40PszqliZAoh23xiv+KL+Rg2Wfm8ehhLEwC/MN+vwrZ41jp3kZhWPZ5qMi2UMag+rZ8jiT7fH4akyQw1m2BsQLS+P5qDCOC9lz3PsLTUFx9fmT2PzttVe7Krt7cokDb7dtkJr+jek004UudwU6jPIvY5yvlOaaUoyCukobFE5Hv2viwSf8zNNlum11cv5AxldXrpP+ZbOYjBuGBVBYr4/3nUYuwnOJEtn32t0VwCA5l5FWBUWMVguk/I5kgFplS+bEXlv+sePIyQkVK35KDaZ8d16+iEOwy7VITGOO3WSTVvo3c3sN/JruZdiK6tPqfWWln/5nuDFuUK5GC5V5rD7P8Z5bUr6qjc7/G0wqXcpj0P8N/vlH79sR/dpKgEtOiDdM+r+LHhyhKI6/20kCcieyzlVD8OUQ3aBH7bvrPrD//jaqixCfNdDTtszusYceSssYwMWlY47dpS8g+c8NbHqN9m8p12jUS5XnqP+8p37/RA5LV54blAW9MEp8ArpZny3+GoOWG1Ela9dSwTznY71dR3AePlMxyyuJo+8+Om5WKWdyWWfY5H4IsCIIy6qpAdOA7w/KfsZHW3CCS7+reX7RvO2HPI2SkmWz7TBaTn1irdG3U46Rgjw9DNn9FrzCJ29T0GHGd8JFqBwKwx4eBgewzGsAo5IaVetAnfJyJ3+l/dtxDweOpjgVq3PgnxDCpb4/t2/L5ZGqfhwoVg/0x9KWZJu3bDOU/iz867PZtvBFPmbKRalsxYfnPSJ8k69nnE2eyxm8nTVc9QZqKHlLisOYngUzfu61qUQnXKcmL0Wki2WPqP6P/mfvuKdSWGW7kIalTAFbXlIblP5NSh4IemcgtQyc94Nnuf6bDgPFhrFNZ+Nb47eTQb8lsZtnbDUYgW+3bzg+Hilybrm+QH+3x28+HjLJEcqhCee3Z71chej9WWV+ayZ6fxL2PULDoeXiLgfb2+DA6sH2GeHnl0VMl30bDZevSBzBp36YDPae4g8oN4wIVuIxrwPORxL/yn5OwfKzLI3EnftbVdXGQtGjm+1XO3sl36BY7UtVDkAOw369KMrykxjAULQXTPlM+wewCx7QObpD3Lf8ZY3LLrCkHzijCsPqfEX+oe0zFqez3q/Im2oZtWG0glb4nBrt9e++HRf1AuRsitXE/7L715D1LCDj1n/22qCNmuk91PpTpGLvevm35z23Z98WWM0m47Yu+30pamsn4sLaJQcZNf7Kw3q86VikJAmzlG50n/c+oVZESN7cYuWK9/4y3uKK0vEkteOo/UzWgUN2K4jJN+p/3WbGp4phyiYiltGD7z0/01OiLKlSdcKtqExcB9xDPx8R/TnblpuirMKHHlcqGfVrci2jSHgo24spL0Td4EgMX71cpyA/zsOf3NCEulmWfkTmUXCjXwrD6n6kOEu7QfToSSmLiPzvuaqfaZOVlsvqfKfp8F2IWlBsINZk/TIe0/vZtSMqUYZ34zzpghACZ/PEb47f5CMEk+Ca4aN8GeL5DDsnB9J+tuOUf+5Z9hlAszQ1kIv/ZeL+Ko1fGRZxp6j8rgXRAFrZ9RvxIoVswwT6fUv9EgLN5IUFrjt9mAgYcsXPsIkRUdK+P39ahmyMz27dviP3P7bM4zPclbwuyzzp0a9jzb98SudlfdVv0//FJQtnzb98U1+f33CTJPk+S5Cmnk9pOO+4L4SkpvWGf7IktSdyRSRHhlhT2T/u275mIgMk2QaClEZSH8JS4TdTqC4IWhw/CIKG6Uoc5ucAwsnHyCWH/lJfvJ5kU03mThdt6GbQI8fInptIS5VI5grMbbU9pv9K3kPlGFrWfL/Dzjx317iZknyk0Ep037OOHr2eCEurq+1Wxt9lutm9bOsRvtMXxG4WwY9aozfZv+Gbmgc9VWvfEQ1y0I27GBnRqo5/NPIAM0b17COOK5GASJU0MeuzX/vjPDxR5Wm84oC9JX0p7I7vQAdF2EcXMlyTFGzhwpku+wf/BtT/9owMii6Ou2GqBRnHiGF+AHfd/+ud/eIg3Xcr/Oq4VD5+3mxi8Vhb66GFUkOcZQoGJSDhTUFB/WFilzL+9/f6RDvov6RRvi/qBogD332KlOs54CDGd2vET+uMPH6AxKrmXDqQbYzm8zuv+6XXrjs6PHV/SRmH6vOvrDx8oAh1HjcNahYmGPmt1iRORv+MLPvBP/jSkY6ZDTSeOmjbaH/mm2tYQ9PTDOQcVPWmPqThe/Y3xM97MGx85sCieEur0BZ95wz8iIpaSg9Ppn90au/qOv+btvaMfqBtn/X/0QCfIpELjmQ60jyTMaPzJHx9GkVSe+KdHQvEVf0354nSlNo8Tcc3CKRF/daQdaiIWRE7XTETfcq7nTWV1/ikKF064DRqO4Y8PY9z19oofvtk8nysFee4nz37u0znP82ff9/mmyIHq2wGf+dJ/JiKmog0hhJlc/eYjm+bJ2z7Nk+fxLnhYHGAkYt7xBx/ccGiiHRFQxMRHUSdKHrqjGBTRqIAPb/j71qvOicEJBJnARAJBKgRnysR//Vx5uwTi8MY8mo42zh0cMnPNR7f2sRmDtCu1EaXKfZpPS/zxTZ36tOU04gtOHpaFko7vjNuHpMIfnSIfvFLfH+9yVmdFsvbUSf1E/3cfPBRX2rcTe3zYLdF4Nxhnfw35J64v+Sg/Jvw6/O6z2lm+fN76kub4sNvi89aXfP80mX6yPoYOAFTeKX9SrRxDhffC/TvW+G3ErXbjSmjarcn4bR05iaQC4MBHAlb7to4bPRMnDjqIdE5M2rd1/JxE6vxDXQigrM2mYBXnDz5qLr3Ph2+1b59SinZOLDq7UkLZ60ty1Epn0gjNdEJGIIq9HmrEQToL2YBr7dvT95/RIec80X/xRDqV6ZEbYa4XSzGD4Ml1E5IucX6o2QcJ+gdzYK2PQZE/sTr34HPcH3StRJSAPX6bInaxohRF77o/OMj39NezsDLXl6RInxC1Egn5g2WioACs/meKmNLH5eWraFeyYZeANX4b2YClYBLKfzgz9A9mwRwfppmUJPqeGKbzkzALShWDpcKl/sEcXO1qds3xYaDSO0Mmf4ywx4eNTOBiPn1Lfz8HV+YP46MCs/AuAOv9qjFyHVAhOog8ju33qzSThnGtfzAHF+O3edPgAG5KCOXjTYgRKu4xfhw1sf5+Huz5PZlsZJHFdHwYc/BnFAd3RGivzx92xX9mdnFMxm9T3QAZVAlIZ/g3MoJO5w+DMGTPTsrE3VzkFVQnM9Z/VgTMAOi7UvCN10lGJh51xDJxeuW5RLJdmZ9EHRUTrjCTtP5+FibrSyJuNWsdy/NEOQI3Raj6/h+neDjKPTKAUOQmLu0zqVRpDmGq7ZBsIqzX7bM5qPs5KAlNiHckfIRF582ZzO8ZVn0fZ2oSFHc/lFXFKwsKiGrNH8aqbJtSzZxAoHw/NE0g8wrqZH0MJ1llZQiBsBBZBW2WLNZ8WOO3SYy9n1U85ybD2e+aMghFagIX47d9vJepmCCjm8UDgvPhW+vdgGkoseojwsdykxZ/8cISEpjMT0LaqrDkKJhkMVlfkgpwWKq1TelihQU0pVay/Mn8YUYhT8Kqrr3Gh0rzIe3eqGTLwZrfc39Iu3VXe6Wa9CUryiGIcaG/nwNz/jAo8hjEnZoZmBUZVtvmvpWRbGKf/cPbO6YMoWDS6Jfj6sKokn8c5vvPJMjzUHUev5eJ3VmVcRmSTALq+zGxz3lYrUcmPg5RnUkQQSazPON13agulf+8q4r4AROM40IA9vtVQ1wehioVym8WJuO3k12W1lt+LGFmvk0wlMWA+QXm4+r47cn7VX5c1wP+D8c5bgrZFwyt9u3j23bYDXHdNSqLYA2yJhKZwcn2n0mNfltiWmfkE5Lrvu8PeK6J6DTwTP/ZyYlpjSmAyL70xZcsy4ISq50IgOzz+T8GU+N1mAWIhTrGSnUiTLb/7CTtweO5p5BQyBfbGqvUIjgX1vtVFH8bRPV3foE2aZpVMipTAlb79mpTUBUk33oy+c3CdH0MvGm9hUUmocroQEIX/Yru61/MwfXx24b/TNl8eODlLInuq/SLqFZ5DkpkmraoUZD9mJf02UUyUzhZ7dvwMZ3wcZy5f79LeXpsGY065nqxIHLCiO2zk9zTwx8YUrNP5uNYGe8/I3M4q977quXwY85ElFgCQln+MzMlG7KjYOJMGRSRupyPi/er8g1a/SjQsuvQPlBNQCahrPbtQJW5gOej5FtysN9/hpoazDwIoYY1CuA+s1cW/DCu+s/7jTkI1HWevnk1L23SVkITNpxgtW/zFEquE9RYrDOMyA3dU76pRR6Ydvs2ZAijVM/0nb91JaqlfHs+gruzr0l5nUUZOPZW5Z+k6mVWB7X9Z9KWr9axJCQlpoZCSESmi/nD8nhkgiqrZvMqNFWkHxm2DExJDCmJZ8+zC9BzCsrU38+C6T8Ty4GzeHqD6csv15fMPJ4dlR6UNc/GGt49iHhgP2nfNgo5EmzV83ypmPcb/4QgrPef4RdR9MNjRCU5q1M0TSRbXsNzNlbm/CTIiFTKoEKSJsk8VfESEq0x/GeOk+zzPYsGMtraVGhymdWr9dwn49V7B1CSEiPMQDjen4up/0wV01jV7LEf42ZFDxLocj4m9pmZ2IowUH3jicv0L2bBtM/HVK14cCywBrQwpu3bzp7n3ya6XcrOJdU6OsOwfRy/4T+Df3jEY+S+QJuHjC41pvNvI/LB21CuL+sC6eaSmyvgstvvPzMNlTI8neiJX9RlGw6h1MKMF+s/75R9Zt2BIFtT8kowWfYZ/zyKFbPQY7DYtQNmL5Uguux/ZvusBErKrU/Vb6z4JMDlP1rt28zE9pl3LMUvtj642f/s81TbJMyGfUtZTPqfqfIbdG94sjvh2uPpPf1ephr6k/Zte3wYWZWyXh/8rar36C9EMOl/Ruxugx6LPK7poUKb0FTq9vrP4Anv1MzA+6DuyqZKUyyXIYHAO69JCHkM+0xXlGW2qOjrH8yCNb8nxaztM227h3qTVX0UyyxDOu1/Jn3q+jbFjuUdVv27kH1eWfN7UpSWfc4PGzieMhbUnJ8k39QxmlX8W5TnyfxhtI/2mXzLA85UAzYfzR/Gr/ufWY2wYf0WSzHxlRym48No87eYmxVL+/FTuelEGsT83lj/GTTO7o7bt/GsuiuHMIvq2PQRPw6zPYwI9mSfeTV34mLt7XqpGqPdvk1MsM/cdkQVqu3X8L6oUxlPvXk13TuKcaxvU3qVWYLiTXW3S9Pw57Dm90T88J9V64bj+t+juttiykP9g1noX84JnvzVqfbXFGtAC+NyfclG+89UnrkdkcqXDO1P5ifRIYJSJFUia3Js8L/g3xGDPX8YR58VyPwQELxU2kTs82R9DCK6jyL2n6mqw+5s4KHhVADm+G3WnW7fZlZS3uGBLJCIEs35PTnuk/9c1i+obdxHMq0P0/Zt0lrMK+DS3sBg+rDPIkKtTP8ZBKZ9bpv/iWqyZDJZ0Fi/iniL+iFow8qrZVqaTVz4z1SeMf82ZfaaVzPZUybcitjnn/jP5yetUqTzHLMfqy7kYPVXcdxhzE9j1LchsVNya/dsTPqfSb6d8p+dY4FVf7mGL7KY4MX4MCrPpn3eVwXXc/QP5mAyPgyZkmvB0FoP25NXNTkVApiuX0Xagv9MXMMmSJKEiJtE5I2MiX0mpjf2n1l9dAuTZAu5K2b7NuWH7UMaVxuPlzmXxbT/2XX+6mCfYUTosUjXVJ5F6tu/4T/zRk5fvTmyTkVUOcL2n4loheXP6Ux2OQZZUtUbiZZ8c/w250Pyn/sVJPPTGgtbgxEjCubDHh9GDLZ9PhYkocxoIHt9SYq97R+5+kZaU6veNPWDhLdir/8MP/NZ+89+EWEIa/VYF+UgIdRF/zOa2kb7DJEOHps0ARjt23jLyd+FrV/x4AdhXPQ/u2Sf2X8ePIjL3WSNhExX16+69J+5XGFoGIf1NxKw1sdA4pVo5qNHjJt1KfpPn4Ss5sQ+s1dLhp8oqT6HNQyR92UGv5njwyjp9s7/Ro/3yPu0k+4wmISv5oPssw4BFOOqeMUc8PQ/dGR7SI2HDmv8zkdp9D/TP0/Pd+U/OysyaN7a817rzmps/zDs8WG0EdPJf0a6+T20KQFrfJgya7uHWsoZMjDxn6k+n+mVLNvU48GQbSTTX0X2+fKfv/CfiTHfwnqxTvUXIrDsM9WtsgYqdqnqFkZr4kNtOLusQfw5rPWruFzd3/X/Bc6k6TY+3n3lNYUE8JflPxPD2T5De3LVbXt9SUSv7bPrDnhYkXTBu8hI8Yv3qzBqi8tzEt4PwxAGaVcOIq+zrCbvV6Fmb9hntKxEMu/NWP3PHDvVQnldZn1PDFf853ceH4aKVAmpwkd7boWP4mr7ttX/rNQI4pvYZ7N928m/lDtMcNoefJhNyjBkRUUMjL1+FeeLXYSRffSsaF/uQshUmj2fM2CODwMRlWc1PgzaI/Mit5DbVf+ZZzDIY1V/k3pGTfxnWE1V30ZtgIj8ooNdExDq0n/eYlH1s8LCFArUF7Ngrl9F0bvOPltzFU0kdgNT/xn5/o1zgROuUb/fN/zM0r+Yg2vjw6b+M3h9bg/TL6LKwWrfzss0hi+2eYBzMURU0U6aR0MVM2D2P0Mg17nHMDQE4MyQR9sWpGIJZMZ8QxT9k3PP7WGK1T1gPCOn6XzY/jNVGdueHoJME3DO9GORzgGMJzFkAhcKsCplLAtVo9hxnw+z/5lFISaUZ7rIk4Qc9pLrN/oXszCxz05yeEDcQq3nBu7tcXxE9U29EUG1jyoi7+FYYFVVASTxb/U/P/mHvo6aI8/IIimuaZ+Txqu7167ravRlUh2vb9oD3peUaDzKH+z+58RvXqPmmbMk6bTZ7aqtiKdJ9pmeEyeQBfMbb12uKCsi/dTYbUD/YA7IPpvzk1AqvdTVCjKRMtdV2JabYfQM56E0+58pdv8+7aqWR9QRyKnV1e/5sO0zv4vUxWFOLPfpQxUE5ZZyjIj2JvOT5G0QlyQl0knfk8J0fpK8fav7Qc0AsYrjMCz7gd8Rmo9fri8J6dx9e8ia7CtepiXobyRg+s/516bJGny+4tnlJEPZlAeht9en85Pk7aFphpZfpXX9rCobzNMgkfWt8duceEOTDTtVvaI6yDc0bMro0K+/nSJipvusCUIeBk/aLEkmXi1R/2IGLvzn4wAmyMS7k3zNuPNvPqbrSyomjFtty34Tfw9WmH1LRH/m+LBkFQQZXuBCFVTfE8PUf/bDoAnufS7C+1VTfvuOdJLgda+1h13pf8bkb/BsCaLiWv7z035P9d49ZptzWa25n5P9EUk8e/0qitxNXJII4tBnT0w8AYz+fhbs/meKFLpjowkq/5nPIlT+qz1/2J6Egkygom99n/KnjExT/xl5gdU3gmqpOM6HNb8nRYl8pzIe1al8Sia+KyKUZZ8TzgEct0zsBqbjwzjv5TxJAzSn00mE9TfWl9S0KijFq2H5z/oMjJQwmTLDFMz1JXXkY8HSTBzk0Dz8ZfnPzDCGFBW3QuDeXKw6e3wYx6oCmuAcmgXr/SqOkiLFgclwh++r7+fhaLRvg0nLoTkAWGcRKmN82EiDqE9EYrDt80iG80k+hDk0D7/V/4zPGTK61Mgu3q8a6ZiYayESjHb7NsdqAUxMJYDMbt8+cyFAFR8966z+wRyQ/3xRkdJ0fMRBJrnM/mcCIjdxJp+N6frPOuKRQ4kkQUTl2RwfNhLwWd+TwsR/NmGQirCaRXfEdH5P+xeiwn6xxnuaJ4NGgnFanifgGxI8BOt9DMIpWhUQYgF8Y/y2AkVusJwPM2G//3wZpQSHRmu9X6XPwCksRma2bxPGeAWF0bDssw1psuLKMjDupm/99vjT7V9997sb4vDb57IOfL/1VysV54o+fEKAL1bY5xJS9GH0AiLj5nRjvvmb739fD2cmfVLSqCPLNd6es/lhVxGRJdQ5SJobWeduflu9D6Q+lWw/22j/V1//3uaHXvkvmJAzVitIRXnmQ0AsPv7cz1+ikEJjxOZ5vhxqQ+LQFnhVosO4q788bzpHzGddrYqr47fr6HPwUtceznd8NcXa+MzFYz2RaRrp+kEHZuP1V9qTkIdxNxXqZvglkZhMkcoRJ9gR89WYW3D+yIePtNf14wtf3hpe3aU6qAAxLMHE1IdZAy4QZk3z/Zvey4vt9NWHd4pE7VmWgYFu6YO58W/4c/7LD+10aJqRiPbyC+6ciL7gqG9/QQBff/CDE2kP8SE4UmCj6++8q7uKa86naf5C/x6Hyi8jzXTDPzX5wz/6UOyUBIGKaLy2NtbfKNT0z//w05RgQnxjYnG846aucMD/QfsXJO7vn9VF2agPaU9Hw9EqQdSmbs/cRymgPUUxao/vKiatPRwkaIUGUSxYsGDBggULFixYsGDBggULFixYsGDBggULFixYsGDBggULFixYsGDBggULFixYsGDBggULFvzbwXH+D/CLj7UQfISMAAAAAElFTkSuQmCC)
Consider the variables x and y and the corresponding data
a) Draw a scatter plot for the data.
b) Is there a positive, negative or no correlation between x and y?
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)
Maths-General
General
Choose the negative adjective starting with ' r '
Choose the negative adjective starting with ' r '
GeneralGeneral
Maths-
Consider the variables x and y and the corresponding bivariate data .
a) Draw a scatter plot for the data.
b) Is there positive, negative or no correlation between x and y?
c) Fit a line of best fit by eye to the data on the scatter plot.
d) Use your line of best fit to estimate:
i) y when x=3.5
ii) y when x=0
iii) x when y=1.5
iv) x when y=5.5
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)
Consider the variables x and y and the corresponding bivariate data .
a) Draw a scatter plot for the data.
b) Is there positive, negative or no correlation between x and y?
c) Fit a line of best fit by eye to the data on the scatter plot.
d) Use your line of best fit to estimate:
i) y when x=3.5
ii) y when x=0
iii) x when y=1.5
iv) x when y=5.5
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)
Maths-General
Maths-
Find the solution of the system of equations.
![y equals negative x squared minus 2 x plus 9](data:image/png;base64,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)
Y = 3x+20
Find the solution of the system of equations.
![y equals negative x squared minus 2 x plus 9](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH8AAAATCAYAAAC5i9IyAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAilJREFUeNrtmNFHQ2EYxo+ZTCYyM9lFzCRJN+kiXSQmSSaRTJJ019X+gXSRSBe76i67SBJJktlNkkwSmUkXifQ/7GJmYj0fz9iOszna+c4+fefhx3Z2nPOe732/9zzvDON/q05q4AnEDU/ayQd2QNFbCn1V9ZZAT82CR28Z9NMQ3/kxCdeeAVegTG9RAusKFXyBHa/COGM6JX4E5FgAMiS6SQoE+X2MhZbq8XPPg3cwRc/jB9vgA0R02fF5MODyfYfBm8QJxo5e2+zyVXDUfCAL1ixOTIMDBZMqKvjQ4vg+f2tIJH5UIXNpN24nkv/TYfJpmXo2zdUA9YNPEOowP3dCtoqm9rUFjm3E6Yam2fr/GrcTyf8Ck226UqX5wCK4NJ20B3YVbukLIMPPCXCvSFwB8EIjKCNuu8kX7f2bps9Hllh8teYTQzQHDYVZOQGJi+RE97jjw5XadCi34xkENzRbTsXdTVziHg98BVW5wePmnW+YDmT4vpe5UE4ozSqeUGDHx5j4uOS46w51phYV+AAx7nqf4k6+MV9nFBirhKk8oU+SHXe3yZ+jwWzRKUiCc7CheOJFgd5ysYMca0I9iiXCdup3Ke5uky+mt6hVK8pKnE+dUpgjXPOiCSNz1qN4cjbHSafitpt8YSRXQB+/R2ngk1YnL/PCSYUTLx7k2qpyoQs6abdlx/f0Iu4EzZ6Y98u8T1uPIZL+bHjSUnn+OeFJM43z3eVJI/0C696qmGimGPUAAAC+dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnk8L21pPjxtbz49PC9tbz48bW8+JiN4MjIxMjs8L21vPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjI8L21uPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjk8L21uPjwvbWF0aD7neoVfAAAAAElFTkSuQmCC)
Y = 3x+20
Maths-General
General
Solve the reading game.
Baby couldn't finish his HUMONGOUS sandwich
Solve the reading game.
Baby couldn't finish his HUMONGOUS sandwich
GeneralGeneral
Maths-
By completing scatter plots for each of the following data sets, describe the correlation between x and y as positive, negative or none.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA88AAABTCAMAAACWGcVUAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////f39+bm5kJKSjo6OhAQEM7W1oSEhAAIAFpjY6Wtre/v5qWcnAAAACEZIc7FzjExMd7e1mtaa1paUnNzexAQGYyEjEpS5q2MQuZC5koZ5nuMQuYQ5kpSta2MEOZCtUoZtXuMEOYQtYRSQuZz5oQZQoRSEOZztYQZEEI6QubWjOZajObWOuZaOubWY+ZaY+bWEOZaEFrO5lqE5oyUlFJKUlrvpVqlpRnvYxmlYxkxe3Nza61S77VSQual5q1SnLUZQq0Z7+/WtbVSEOaltbUZEHtS73sZ74zvpa1Sxa1Sc60ZxXtSxXsZxYzFpVIQGbW1rbWM70Jae4yM77WMxYyMxbW9vVrv5lql5rXmpSEpKbXm3krvY0qlY0oxe5ycnL29xXtSlFIQSq29EHu9EBnOEBmEEClSGVIxGQhSGQhS5ggZ5ghStQgZtSnOpSmEpQjOpQiEpa3vEFJaEHvvEErOEEqEEK29MXu9Ma29c3u9c629Unu9UrWMc+aljOYpjOalOuYpOualY+YpY+alEOYpEBnOMRmEMSnO5imE5lrOtVqEtRnOcxmEcxkQjBnvEBmlEJSMc+aEjOYIjOaEOuYIOuaEY+YIY+aEEOYIEAjO5giE5lrOlFqElBnOUhmEUhkQaynvpSmlpQjvpQilpSlS5ikZ5ilStSkZtbWEnK3vcylSSikQQq3vMa0pnFJaMXvvMXvvc3spnIzv7xBajK0pc3spc4zF70rOMUqEMUrOc0qEc0oQjErvEEqlEK3vUghSSggQQq0InHvvUnsInIzvzhBaa60Ic3sIc4zFzkrOUkqEUkoQaynv5iml5hnvMRmlMQjv5gil5hkxSub3Uub3Geb3jErvMUqlMbW95hAxEOb3vXOUc9bO7ykQCFo6SvfO71pahM7etd735u/F1jExEM7FtUJaUtbm7wAZCHOEa72tnN73/zoxSs7m1vf35s7F1qWtlPfv9+bm9xAZCFpSYxAACEJKUnOEhP/39wAIEDopOhAQAP/3//f/9wAAAAS1yCkAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAwl0lEQVR4Xu1dzXKjPLCljAkDhL/AzDtk76zyEl6xyIa80rzfV8liqjLeTJWHyp8zwXXPacm2RDI2gcytunV9wFj8NU2rpVZLQnKOOOKII4444ogjjjjiiCOOOOKII4444ogjjjjiiCOOOOKII4444ogjjjjiiCOOOOKII474P4LKP+KII/6vItTpeIMijr1/sJhUjeDY5d/RNcK74Njlf4Pdz1uO3HL5h+xuw5vA+CVOJjohaxRJOA+5yu8t1MkPrvPTJKmNIxa2Rz++zt3E2NH0NtgcH7DOk6ze7dvYHv74WmdJtdu3sT388XV+BeEiJL8OjMs+up66nnXkrzAvOrzOf93PVFB+FvQlg9bbl9/bHWwsbI4PWaFiKiA/C+r4sDXzvmGrd2yoY4PWuZtFOiFrPBU68Llwk1yHPhVlpgOfjMztiOVTEBX/ht0i+yfCLRId+FwESapDn4rS+xdRBnanOvC5uP36T+LMT2wptLeuDhHtymmsZaVPfBRRlix0EDDIDiWoEUwbHSI+j27mmsWWDdGxZBfnVnomuc8g65yb6fnThBA9mOm53VK1l48/ozCz9k/jdnVppefPVDEdIAyypuINgHtvpucd0ZHclh37vC7cVgcho1WzXpkY/A5ryz4bZEdK5dJi//Po/nF37LaGDMaRnbhmeiY5TXqsbmRLHbLjbBzZqDDz+o4mbDDgEaZ9/jxu1+WjYTE+URWC6U4KJrsjE56b7OLs8zTM+W7aTWDtujtG12tu8EcgwJ1hgH3+oYNkf41VSK5H5kdBZrx/pFkk6ZHSvjLsc7PSvHI7iu7ENSweRIAtxcplFFzDPoPJVkgSu6x5AGCfDb4iJ+L7C1mBPGq9+jjrRXKiQ5pbYrQQorN7I/ehim2EMFLFivOdFEGN0SaLbQc/imZqSIGauyE7UnHLKztDaAvDc2yaKIoaLmsGuafPfBSRnR2BXhs5zQJKoo8NhG2fUV6JFlEE+mPpZoZ9hmlqWgev34wk2/64NewzhQCRruU3KuFZ6Zk8NlG+iKDQzSjliALLF6OeUAmgClj5jIjlw4+zbvnP0ANSaxlv40xT6RlRBrbW0WShONSHBiIwVQzUmBQYafrIULj3OykgkxCxiiroYwPxX9d/dm91CIjSsAbCa6jISYhwZRvz/mgy4zmgBv6dZl6m4ywIC0OGEjTOIiyLMlzgCSMtXnK7Y5d5cnRdhyAKrscgN8vb7TqlcIlqpBTM9CxS8H2/TscKAeXtHQFkv+smD+uFKl050fXseVYNeoRpnxsh5uRVfVqZyfHjgH02qjyQjtPa979BCCPjzDkz/GforbOYM8rCRTsq+1m5NzsptOAxUkltaALboPzTyRAKd/f+6zx8+up5wbJB8SLMvhZVp3GrP6am/7yWhJG6XohsVB8bho59nmVJ8uhdTqB745KIaZ+Reeaz6WOwIN+jyNr+cxS8eJ4H+SZBJw4+CtN/XjuT0vXvqsANR5om2GdDZalxxdcsVbmxU7vlne/62NHn+yNI7nQIVCHcdn1yduGn+chCSulZaaEqyir8mSEXHqkKHfvshBli7aVIRxaMXauUsm6rRJF1xnHrd/zn6MmoD2ubKHXj2IfcG+faLfJ26MNs/xnZQ+PkQfwa0skZgzPTf17VRRilRXxTj86UM3cnlshZ1GUSI9ExHx0Dy392wj+v2XQ6/XX/tR4Xh1b9dhvNkm9gNc2mI5uFLP8ZBu/av4iRnql8TpUFuTMJ/oQD0nNxtWNMzH6VZaADlRiD6Myq36a2Os1dkqX09MfArCBGaXhymWRu5vpjCz+u4R6AxTzIsl+ZW4/M2d/Ub4P93QGyHGZxwZJBVAeMSzn+cVj+M50FpwmLxAP741TZyjx/nFbYptM4QLobpx3ZdFcSgR8aRcFjMBmrc7b/HPnlNb3GvMzgz4yCaZ9ZTKYYVoGHfHgE1o1dv418LfSQPBh9eEaNY1VykX9crU3/mdVWlZv9pq6NzCwt/zl6vpnx/9lDsWocTBWDsoZlFU0mdPbHRZrpPzdtGxbXURRNImdkBXe5z3+m/kal531DMCzm2A4tZMA+G1IB2XUa1FkSUk/GwPKfowWb7xbBS0n7Pwpm+zPLlFH5ykLxSJWz/OeFdhjz4mGcZnT856V7w/QcBV49zoYsTP9ZPKTKy04ogzZkwZuPYgx+FKb/jKIa3K4ZssyxdRPQU8MZTLOkAu1mnozuvGLZ5zY6K7VqjdOw1jXrt5281JnvSCnst89CfVLEWeVUF/CVVBPLIFj+M8hGpZ/+9OrPZL91Vqv1yokuJZsYRzix67fB7svZBCl7XD5h+c8NSUFVqgSSHcetlZ6j4gVFTWQTEMOowo9dv830xuKrGNLy0U2h0E0QBx9/hOk/owRbxrdMcvSk1aFhQHo2hFDd4+2hDPk0HluENe1z48wTt8pbmqSRmmvVbzvXWRHmEMBYq+987/Tfjn4a/cOYabZS4q4uSyTnIbUfCvSftzEPlqO6SCP3EQlvlMpB2Mb94pY7VYGsbqRUnOx2xy5j7rPss+E/I/Nhc11UJtdkfQymVnquvZcyb2YZSsSjxGD7z6yHvqZ9RuaTuzGzDLgM8e3Hs/jiyqzfrpIv9SJP4eyOk20TmP7zqZeEUAcnz2J/HN3WbH9GLhnHievnSHkjsx+zfhtKEL/cPPlLaUvRx4ahvOrE+YXpP7NhwnF873EK55kZ6FAFaUz/mflRUTfRZ9dvC7MTP8hHZ/ZW/faa713GZwvG4ajsJ7Lan5GIwWTq4lHjhODcGv5zg7Jb/BiUZzWSiD42DB3/GVJI71nMblHOjlnb76z82Kjb6gur/RkZZXIZTLMnVkTrY8Ng2+fki9S9I+eBIRqF4JdBIArLwosfi2q0R2fVb0dzkvXcanRtfDc9txe2fRaVK2L4Ytgb/g5W/TZVDlKOzr1PqN82hY38M3Qfk3J0Zm/6zy2lgNLcZ/vPNHQwIXXij9cNwz6DVh54cTIDu+Na9zv+M2KK/vMKoTRjKoFU/BgG+6Mw/Wc8JPaC8PdFnNTjhGDXb6e6BAFOka5HobDbn6O8CuK4QAY6ShfazGyFb5poUQWP8e3J2Kz9Hf95pwRS54jzfhzD6CHrGKx4a8s+NyHrymGfT9mLaQys+m1o2LK+uI9jJGjmQyOQnRsphKWUkvXbn+o/swxBwlklJZ8xMOu3SSl049ilwRulHJ32Z4Qr+M9M10glbON3nFk8oLrJ8p+XcOZAAukPchgFu/259uIyTavSi8c2Blr+swg08r/G/40tTvw0/GeViKPZPTOfcWTf+M9P7o4gsiOJxuDc82BFsDdUQaz6bRCcY9ugvK32hyM4N16fySNfQpmTdGQCseq3lX3+HP/5jw4BYved9GcxutOr5T9DBnUx+5bEoxsP2D9s+77syKXqt5EPbe1zGU9H2ue7q5gtX0h/LAKOQBSY9dtIc5k3vfSLmLUTo2DXb4sGRGfx007ig9Cc76TAWiraNRQCx5J96z8XRnpGLIptKivIJcQzB/uPa7N+O7+cfgvDsM4eL8N0nC7b/cNUKv6d3EM1xqU80z4zFTfwn9nrbFwKWdxe6RDAqo+1M5+yoWJkPmH396ymyHrmWfxnpMGz6relqCb129GaXikrKZzme2w+uScCM4ld/1HpGVnE2ThVsPtvw2jUfrgpdo+BaZ9p0dguUSV/rkcaUrN+m1kjO8LnLkQzThXe+M/u7a6NmfYZybm4wwtAMFJAHAarfvs6S2SJ4yQb6d2Y31eRW/KXX8DujyP7l/bnseViq7wt9rnxz1Myro8NhJGekdjOPJZnw2RsTZDlPwuPYp8hhUkRFxOndRZBPGD0C7N+20mv4t8tRPzjIv5vVMHYan9udT+l6uYrSimjUkhr2mfm5yyo5K60v49AY9ZviybA+EfFWLLv+M/T3esjeTTtrEAGGvnxC9RjsOI1ZnXepPb/K8vvZeK5ZTVOlW32IRXGZPn1VB8YjE7783oN/3kh2bM+Ngh2+zPLPvlDsVCGegys/mH59Ip7q3KsaWqCr0bkMCu/ZvdJGhKf7c+RMyleBvRBs/znH4XKdqIi9kepQmPZZ3AJfqOA5YiR/cKtKhr6nM0KWd10bKOEVb8tne5gNYKHsY0S3e+fo8Kq30Y+fzFrkdml0qtk8MOs+u02aptmtV7Afx73RZ9tn0XA+C2Yyw0uSSjY7c+0z18uYZEG52cKVvuz2P0qQ4LYWJPBMP3nJr3CHl4/9IpxXR2t76vEglT37B8GGaeJ9ClNWf7+MKzvq+CCg01YvKchXc0MRMGN8brILBFp9Yv0YR+nCmb7s6RskJuz//aoODP7byutAtllUY/M2d98/2z3D0OUFcg+mddVXow8eSis/ttIF0zGjev9Xo0UtuU/N/kCe+1vlyWJcSnEan8mj/CfQXtkc7nVf1ui0c+qFTOMcVIw259ZMaRqmNjvbAyi4OuOgBQhVPolt35Cw1zflwO+v7fHD7v75bE0Nb8a6+ja/jO4barz6ZyWb5wqWO3PKb8ddnL2cVCJezAs/3lZC9nZ5WhD1O2/3TwZ9jm69rO4zKF3URR6bAMZKnPz+2cWLfjZdp7Fp2PTnfV9VXpZ+GH47WyMY6DRaX/OK7an5Pz0Vx8dBKv9mWX31MVzxnNrtz+HmRumeViMTSATc/wwGLzo5Hvs1ScRNe6kwDPCacHunx+FaZ9ZG5/8nC+r4mJkPbQ1PkkLbtO6CFCwZ+lqFMz2ZzjpWRmeln7KnudjYPXfjmYxyNazEoWekQlib//tvC6mbsBOK07qu+50Woadq/tibQ2vAuVgabN04T2PE4vl3KQ/kyS7DWqQHmvxrPZnJ0pnxbQoR38cb3//DLuBchsoQgjjuHWNXh2N086LoizP/luOdA+6/cPy8AzaEOaQx8rJywILTcyHNcL6/hkchreFH5SjO71a44etl6f/BTV8XGrCOOFaKlYVXuI+gDDkMTLOTPtcuUlyXtTSB3Mc2W77c/NkfF+lMfohiPTsapdAIApqsZTUBuYPG9jje+ZhGPI7cxa3x3HcbX9WGJvVW/4ze9ulKPAoaYyC1f5M0Vanv1kCH8du13/e7KDAgr0o/T0oNdv2WUj9CE8HkjIA02lUfC3m9bKlLGCpR0aaWb8NPz8M78Co8D0Gdv9tZzIPYTYpg5HcvtP+vDugeGZyHuuEWO3PrDUnTQR3WjIMdvszAYcJ9Mfy2+kfpqgJXTk0EFb/bcgA7y4FlbEZhTU+ybbIMzYbtr+v2hR5SHVToKCsP8655T+TFoW7Yu8GdWgYkJ53USb1ixQEuR4pXLv9eacII8na45PIlu0cY8l203Onfhv5sGwRfwisuomnN6JfZv9tsk0XZ3x2ZNZvk01nRYlgGaUbb/xn6oQIYhzZbv9tSuETyJr+s8p8qRokrA8OQ6f9WVIHP7FTjStqGZIf299XMaqoCGPZtb6vWlEN1Erfbgys76u0FEAYctbHhiFyvZ0UWJ7E+/M3QJ4W3vjP5vcYn4ipWb/9eXjD/ifhj1He/jxEVnr+PFj9wz4NrdV/+/Ng129/Gjrjh30azPG3PxH2eAafhu74Yc3PcxmYVw/PSyz0P8Ewj3/s10QL+M8IEjwEKKrD6G1/DQpD/MOe2mx51YQHrTBtiZsiqI8Y2NIfgCZawn/WNN+Q3R7++NpOM3Crli09vZVjwzZ5kSx2e7tXN2VghvdBEwGvEfznar05uEEjhOSqYWuzuPRyvSc/gZDdkB7ya6PoTFSMP/6pF55sQ8MASuf3KaSgKW8wnKaw10R2hwwiiF3XfZIflqdzBhk6d59+IXT7hAMf/QHe6/Tp4onAIVLD34b2u/f0+V24ySNCXLmrAT6f3Ft1+GPr5o/sgsKFPqDe/pz83mJ/KEjW2xIVwkIWAZDVRwesbuEpKRB4jAh3sx2+eXKTmNzqQ4INaRyhlLHHV+gBg8jF/ZepEiM3QoeKBairhq0uuBW2sHKX/5qsPGzQj3e6iYcN92UF+MobsgOBO79CCiSjHiWpS3b7yfMNcKfwdtMpsLZFfPPVu/E8+QluvEcdUpAT202fHzZxzJBaBep/s9c9rv73/G4k4L3Gm13iUf1pWDsHQSJ48a8gjF/84t2rg13wur+uezbyF1OSCH9VtHoCt2LDexgyA5pU/EUd2ULtWIc+jBvvhcLdYkvNJMswfsb61w1YJcdfE5C9h4h5aAdr5+PA7VAFEhGBbKHJbqi/88/gOz+18sd5XRkUbAMCddF76/4N10dIQUWhAbWzveZDqxD7Gne9g4fpMgcWXJdqOZE/vapz8tsGDv5O8iypEFKrkPvbcrIL2jTsn1rzhyzdHc4Vo8Kn3ry3vA9F8ATbEwSyabUlu71PVvWMLZcmu+pyRcgKbdbUTTY7+WR3I5e/bxQh+W1v3gVkM/1TbQ/xnj6LYLKcCIH3QidpkfAyfXxpvKla1GrLIl+SBfygPFZIrfidcGCzzY6moe7dtxwAKC0DT2uYQG7S94K6Dm6WzdP0DX/5qbXI+Hge2hBUC1RFERZidkBdvnfjeogzBOSAMIlVU35vxbK99/0Afif55Zv5q/7NfLHb/mEfrW3k9e/8+AdcbiqY9P5w2ASy28H1jIo5ktuG9P6/rw+Tp3wW1nq+2E8lCjwYXRE+EaU3qPaOb/feb4vg31QQu2Z38w9gy9/bANGtIG7N+TFMsHVwe9eH0byd/1kes3vWsPRjjTfEtgT+kU02jQ4jKbgyv69SkEYgtjyStjygEzgMu3+YiRGsAm/rt4XeOKJOFNzrUAeKLkQNgcjOB0QAFEb9NqJquFJZWNn9tzVhcEUeN03bQyTy5pMfBWkvZ4Mjj7EZywj0geuZtfw7dtX+5km7bT+qznOn/3Z0YXaH4eRba05BtpYQFn3mo4jM+Z81TbWqtke2Pso/H6X+9cX7ERhfd4LEWvjVpFtNyl52b7cPZv8wSoFNjtzsWfTV+2C1PwtZ/DbsRi0rfyEY/G33Noq4H2Z6VjQUya1wu0sv4VrzP2uyShQUrPrXz9GhfpEWWP3DlAS44m03/HWXHois+Z+VcE3OFCFyjoUn8d9LF8z5q6hSJK1IKZ0Q6lZAX7wXjWvM5867QBV/sm7jL2LfBzKrFn31Xuztvy25DdgDMYbYfUWf+Sgiyz6rrA1ZHOghLOOSySOY3zUsCqjnHoZln3EbSHJwZLw8O1aQhJA1ln49x+z5n0lLbiXXJMJDim8V4qKv3oeJOd4QRYDbKV1NHgc1fbUrzPbh1vr+GVySG1JSxLhoOWx47SVcu3+YJihiVYIQInyaeoQ+cBimfQZNiW3eL0QR3HG9W3qg830VGNVRpxhEiO8g5ChTBjqq/z7s75+FmiIvclDHlGzkgfKMHrDHJyENEuUq5CgF2RGy+oIe6H7/bH1fRbrkl7SFS3VgAJrMSM+UBEQaRVoqJCp5qX4VQS/urf7bzMzwFyFjE7oILyaQkhDeFL7l8GFY8z/jbmyZT5Is9HYxURM6yInNNTq0D7Z9lptJdvMEfu2pqG6I9eTWmL+KQhDh8l+9OH6LiB9xIbS5SP3vh9V/W98MslQ87iG0mGgzpa6B+qnAfpj9t8Eu6W6EiyPRAtyrvQ/FmT2+J7ki2a0UIBTIV4Wdda4krS/eD2t8EmgW7qSKMfnhAONsI4N1jrTEJ6iL96I1xg+TXrPgSnHL/srOAuVI2SEtirkvu+/Y5x07UeWXZVlXCxxaMBymfXh9B3b/bWpwWp9diyazn1tVljnzd75YzmeW/ISlB7r+M8iWlRbEOvXL735FAUEWeV3+V5b+ST+xmOOTgJiTh2XN8Uko35NvpQ+yYo+aKCS3/nUvqgtdwyRAtDV5Vc7w0vKEWZHJB0u0+k5Uk+xzz8nUrP7b0Ljo2gclMqhMcRr4Mni440iEliE/aD+Ixvz+mS8bXc8QTaCDMMWYFqWM2eK0G7L62v0IrnYDm4kmp+FZSDUA41V54RazJQ0IuF2KFGb95siyvq9i9C9/l5tYEqGERSiBhtz6KQK7hLoHXfuMOIM0qVMN4sy9KGXWXJTZKh+A2JnkD8OwzzAO0I25T7IS+WHhugEiiWZpnVPdGGO46DD+647vafb3jKrgJvZK5GZY5m5c9Exlb2H7z5yINvC+hBQPWE5nLseVYxYKrsuXGAh6cW9/X4V3B1lO28Tscn1dPIThmRuKOWr4/Xbce0iG7NZkF3nZHxkxiyajKm5/h5cFyWIvTEg26/cdcMc+R9fPfzhtJYWQlxeFi9cGIQpFkZ3e9XPxTP8ZapbOnmKOH8Lskdq1kOG+RBcfSNb71qtPs5X7IFGc1E+PfFEVaRzmO57mUqTNn4RszxG0C7OohsJOGCTxs7DXcC5WEFIzIjhN/YV0i7wPt9b4YXj1xbz8yhn5RAgQA4fA8/EIpBY3mIfFA99EX70X1vzPakiAC7w2OF8WHtnN5iS7Dm+D8DQorvFEffU+mA4o3jy6/pa93Eppx2lOH4pbL85Cpu11+uDW8/LitB/Z9+Z/3h1o4UPJdLEccWgSjBgh2a7f5gABs/tHzkjCpLecB/EvyZPxAmlR6HxOX7wXVvGidRZpifRM8Tbtj7OrOYwpp00F2bwMfJhr+Za7B8z5JZG1p7+zOFCzSsu8UM6SA8KBbFsW/vN3ZJ+9yHb8Z1gQkI20Pa6iie9B5ajJEz/4DiGEtKr68n2wx99ep1XwivRMPVa0b5ieseuExSWk0HPmjMaevwqG6ZLTYZAmaTErK5bUwDYsSkihxo6+eC+s8T2bdnLnI6VRlZ1lcFtXYRHHYveRYSDOWBTqQ3Zt+s/gLrqub15qGSsClKkAsedHSMKpe45MfZ4FHOaoB+zvq9bpqYwZCpqRPy3nVZnEvzgoZ+pyqpAqwbleuaVVv71ep/OL+CdeAHTT59NFVGUyACeyKc7kuSiynuOJvum/bX7/jEyIdJec99apLkYM8GSO7ynK4OS/OPo2oopshq8cX43hiDNnCPrphtGYgJSwcvKM9lm0+FHGz7pkJg1NLnUC7ZVN2N8/g6Gm3Mz/XH9lhgdrQD7XYaHzODzxMDrjk+AWkJVC1UJKPnmhzLVzzfFs+sO0z8JImFzJ0BwUdVM9uY8PYB4pMuAoQbyojxRs/5mRpsbfxhOY51Qwq0p583Iz/mIv4drfPyNR5e4X6Czyt/klz+QXcYKCybqpN4W0Xtxa81cxC4ieJGuHDCiF+inhPJYtYo5CwMv1VGfTAWX2iDijYjXOshQK/z3GMypEHKwYwz1LKa05wIdkWPXrhZqRuOLg9I4f/6JwK+X5+V7ZS7YH6rdBgxMNsGZ/Ul5CxTsX94Y9fhjt3NJ95exVeARozj1aGCp26n5E5Tr+M8IpBEpLj7TBAUlX4N+F4GDwVAJFQpf/AzDHD5ObytczShuBx4CHkGKQv8qAjHIFFPwwYNt1iGAk+o8BPaO2BVdQtiAukViQ858J2RX0p1deb6ZnkecV7DO1WFJbWXNoQFCq4XwIelGNrPE9qcky/rayz9CH8r9HiBZPqW6ZqQnj6tr9sMcnASlkY8/8j1LQAWf1jUy0kBaXQk8S0WF06rdBrvBmYEoKPE51+S14hH1mho9yYctU2YtbpzDGD2POwDtZLEF5RU6kUyaQ1H0VxS09rRGHYNZvi+BOPRelEjwikoa0SsbWV+NEr2D3ZQDGwyi745OY80vS8dQDe0a1e9cOHw7PHD+MVbDQbcgVxyXMd5EiDPi/v/App57txHb7M8RxMoV9piZfJ8wpN5IIk6zk4Gc9i9tOYozvyeoOZr/gilM3wZZAw+Ye8vd2R7aXzi3ODftM3YieYZ+l1VVKhTIyKYLXWSJkUSzqJXBjfBIWIdoIfOGlIVs8og5ypGdOT5M/eUXNAXdF1AcxsWrvxAXd2GckFr9Iv4l9htVPihnI9hWuNX4YE+uJG3OGcTxCSUJFWeR7mV+JDelDtlu/zUKqZO0i6DwokcEjxTWhl6TOag2LR1n3wIPlP4NhNRAy2EW6wyORG5UrB2RDaFtUvxhjP+0BDJxhn5mMJZJYJ8P8EklCJvTKM87XAy3OPJmf/iDe2GdzfkkKmPUI4D+9KPnxeq+M/R1Y9dtMHyiZiP9MuSC5afvcLgIvjm9KzpLUSzesykdQ3dhnkmRgxezzm9N8e2XFyhzpox9d0z5T5VBKg78FOVfIJuQ5GScwnLHa6gLes0TBQVjjk8gb+hw2FPdK0nPuONQ54hZlolgmoOppmqz6bXI3Z4qgkqDoXoStqErjzN3HOE5mSIO9yFrje5JFGX8bdKBzyOZPnTp2lzAlefYFZP1cLukB8/tneW8UsCFLYVeyNU6TheyEquAFvQdte2OfJ8XjTGIGWRFyH5hrn/lQnN3xbJj0nG3J8p+FlmRjZJyrM3mit1CzBhIXVt5N1SuN2P4z9P2UBpnMUgoo/sDlatfpVVyzMSJ1Y1VYOYTvnf5hq1uzuyoTHCTwtc7L4odIX5/4KKz5MYRMmnnwE3RKCD34zwis8lM/mL7ELudo01fvRXBuCJvc5to+I3f3KubDSM/fnSj0y1svvqqp1n3QHT+MxWzc2ah4w7PS5BWlrApk7+OEIxCqa/ej4z+LbGH2IQJmyovqobimSNhMWHhIIj3JWuVt5rooNyj/GWIOyiaqHx/o8aV1WWScWrBn+7M9vifuUfNLMsbyEsyJYjfrZV0GWfzljC1A+uq9eGOfc5ceKIpqFARkPUv+Q6zmoR8gA5r2nJoV9tlokuAttM9iF9ZOGIR0wGCfo4eY/tfaqZkx90F3fgw9YjgpUxJtlbmpA6MtcdBUXr9sAv6zEWdgUtlnBGmeo7TMpC4PVgnkIhZh+k0H1B1vaG1NvyVyyYM4C4K56kKhz3wUnfmfqREcTV+Yh82nfWb+TPLr1Pc452Av3bCKF2Q2dR/ZXuU0vncTgmPO0F/KyTzMYpnku8872O3PSHjwY5gp6/QMAWex1LBFP8JfyCfk2Qcxcc35q5iqmJ7JLX756RRGuRINpza7sScjlaqr96LbP8wJlf/MtMGyoVIVUoruAu8FmtGHqjW+J9hiUY3zY7DkXQfIeWZin4VsCmNKAamL98OaH0PeHPYZXjkUgSvKBUwg1MJVigJQVvXL2rv9w2Cf6T9TnBPmPovikfa5YJslzs4TNtz0QKd+Gw/S1frcwXqaMDP6zjZL7N15L/2a4Tv9w+gIbO1zVEGcfzjjb62zh/xWKuEO4016NueXlNRG5xO2ggPXSaQOgjk/Bmk2znIq/jNIgmao/Gd4D2I6Zh4z7D6wOsuT8MZ/jvwXlfBYXYE3kSqGPzQou+xqD6z5MSRTfpT6bSRA1Wp3d6WqCbHeTeOnyGDj73hTv428/lJSM5Q5rYs/amJhWlgONB8/Gcl0H6Yo3WgofVD+M6iEAf7b+qUQX4/xNymRI0FAh2GNH4a76djCOSSZio6B4z+y4En7B0GffeldYSzz8SjQBnF6ePGfRQxQbPdUSQdCWIV9p+GCR2Rcx9uRgGvSdFqOU8/JeaBUC6RnFmRhn1lM7gG7f5jEGZIWSn46G+aEEzzIOFiLfd5d/3eY81fxveF5exfMZxlehJdTlM+uEXMsZUL2nFivlxi6/nNrVs+TX77BJY2S0rteevsWdv02eab/TPMD8sgspXKC5PFieKfv8cVu+MB96MwvSfus/GeIx5tT0U4kPaMQK1lg32Y8a34MShv+s8x4/JuiANPp1StnmWYFDtQcqrxT/b9jYfrPkjn68UOktBgE1mkRo1AhYgCXUi3Uh6xtn5lWxX8GTRSLJ00EWSDhsZ2bZFl/06u2sTu+J+u3WakPskG5BD0f9pnxR9nC8L3ACPaha7U/M8bBkS8yYMQ5J2cQrEhEyPoo4/fi1rbP4FzZZ5j8qvCbyFkW8JCa6Ez6FEX0nz9un0UKPvuTMI7Ie/R8Rr95jXyeVf9wSajWPWCN7wlyrdhnkmzaVdNOZvdfUI5S5W0IxY0fdh7gHnTbn6ML15jBRGkAMx+UUbAz2D43mVEOgLeIBCH2WR6AMovyn5XG4UBozQe3B3b7M7VhU79de4l0HqkyTkhKslCcn5YQ96AzvidFwPmrKOCEzYPrKqGy8AEg23fuJbt/GHl6jgMkbFENvkiVwYbwBAlHhTyqBzr9w5BxJaz0cZpZUvjlc+nGf9hdVZ7IFMKq+sOwx98Gh1DWKfxn5JV/iu9l+ezGySVr1xCbIFh75S4u9sEe3xMqBfuMpEURMJ8PLtn7Sp7HIdpV5dhhWON7gqqUt+k/I7u4Kn0syYtbhohI1Udw9tpPutb8kuCKqkAfhrKkKApGfdsgPZ/gWVH4yJz0MKzxPUXDkOnSLacQWrw3ylE/+faPcz6n0l7jQextfxZpYxfOvmT3SumGwJofg8lW/GeYCWagLG9r/5m7UKKTX8gC+8D2n8ErzL5qf75GeUqSSHJPieAI9sqswmPU1XvRGX9b5n8W9zCdopgGucwTsM9TjIpLpOc+krG+f5YXlfowlZHJvrSRMkah2Y6fQVf60DVnL5VbxT5Dlr7nfZXhk+JXeo0iBkikX2daq/1ZGtjTe+U/+8mLl3y9eY1jKfBQBqx4RMETFx3EW/+Zc0uKUjRt9A2mH68geQ9LRnkhc8odhmWfZRLIB9ZvN+v8Qkbx8V7jl5sgD1+Rp+OpNQ1qH5j2WdKwqt9WKnVdhJAR1vBeymht/aUnWcN/lpp9ttnquY9QLsEjq+Q8ciawRnx8lanm7YPw37Q/G/3DhGk4zso+81l94us9mP4zaTL6Vc0dI3TrP+PNJF7v3LKfn2vNX0XuQJb9w2gLPWkE+faqKhIYji77+s/meL3kUM//jEAg1ShsZ2R8gGce61mayM3+ntRY1m9LNkkbDUpOKZaeMkASKVnd3QeG/yzconzDbx7WUVqHdRjWgZfVKKyoCSOcOjvtle6iB9M+k660PyPK0vA3CRdxJn0F5AWcyu3nj3b6h+FO2GfxkRBc1PRiUBCCTuMQJJK6/RxHq34bpNZin0l2UZ2ehqeh/+uVM8qkV7TLa+h00E+ZzfG3yS2ydhpSKmtTSRexVQQH95dUly8uWc/SA63hPwu3KFBeQOf4AG6Yni+pWo9STQOD1zNX22efhXTDqYRhn8V0Dm1/hv+c7m4lUfrPOCKZ+65/GGKQCbQupDHvMCznhilEdbgDGZRfpKdOiWSNLIliguJIhq2u3guzvM/UpeZ/5q2hx0814K3RGpFbZE1nUlt4GItbo36b3G7ss1BGpEY0RvyOnTzmRfkDV6mr98Jqf8arq/5hdOcQhr1X/jNDuGDi/0TeqS7ei+78Vbp/GPhkRIGW/yK5sHQFxatwcro+6mG2P4MKi2rS/gwyUX2ZIrRahJx8i+ec0A155jBs/xnvrvuHsWhBbsXBX0OZ7/Ew7LH5Q1+8F+b8khJnz9p/dpq7gH0EnKi6RubLDB8lMDZK9MHUdP1ILPRAVswZ3pb7WYiA7u/5raePdOD7KgoZmealKm/jYX0E+x7M/mFUDSSCzAs5iwEME30veIASnzL7XRpIUbkHzO+rSIxkaZ8hIDirMG9pRl0PgxleMy8Do95oL962P8sXX3iHVLzapbis4BNpe/H97Ac7Ch3GZGqVt0FPyFLdoohZ2SyDRXGqwF+A/zLg/GT66r2w/Wf8whu2P4OuOoSsDfwt+BFlsz49Y97cA535MUAM9pmldiYzQiqGnPw5SHE2vAhX/eha7c8ULtOzMD7xk+LZL8vLaZCzzRhyTwN/+7y9sOaXFAVY3PJ7DPYRFKBUP+OZNKP7G171a88Fu0YXREpB+8/gqvrlXvJD0cJF6qiy6ZLV8SyL98jVzP5hiHiqvgdLymYEjqRNPWOBkJWSKALk0nGwD/Z+X0X+nSgPp/FrmcqXr70i7B3Y80tCfZe/kzi4pm1C/pyWsTfL2eYTeElQz+Tr516Psuq3IZSTmmQlb3Cq26CqgilLRLX3WPgzTvNJdewBc3wS6IbMFxvmNH0oVxZVVbL3FtswSfaZleZ9yCJadAhYr5pFVcTTMEe2mf7MglntF/4PZ9WGyZdbv/ZL6RLSx+KZ/jPM0Y+0fHl9XlK4EmXrWhovodBZCbL0+/twa9dvQ7ipH9/7Kf17mGSc8tn0w9KykO3bWA77DPXXYGaWI86KioWeWRJ78eOXx5j2Gr5/oVShF7coQZnlbafJw6u4uEPGCIbZDLGAl87kva6z8jos4Mv0UwXTPlNZr4v4qmacVVn8iOU1jm8h/vb3tLyriotKSoKHYfffbhZpECdCdl3++en/9oPLtGWpD/5GmJauqhQ6jLffV1njk9D+L+fffD+8w3VSFBgEc35JySSWle//VrqxXtzV/ixcIl9rkP5uy5l04NZX74dZv01P9iQkWZSMGXH8wPz7NQItBHIe1HPJJXpJ26rfdpqTaubPOP8z7CV7b/nfK5Bpct/Ngm8ki7fQl++DNb9ks17lQpafGS7BYFGKk7tuQXYa+KpfeC902p/z9DcijAVXsI7cqEln/AQhOuWICeEdg/rqveiMT9JEKYRbQbisfaYoUp81mlFIsohLqGKv4kRhjO8JdkUVTtlRexKWiLH/sM5QjkqDqXtZz6VVoQfs9mdYuRxk6+uFNBQz5U5Cn+WIdbsIYVTZ4byXJljzPzct8mAo63wp2Zv/DH6fvz9X6xVyjPlzWcJBh6j01fvQGT8smpBstWR5tXazizMd/VDpFNx+Rx7cj9s3EzRa31cxGhGRMCUsA4DRof5zp/82XoAFTDU0UNuCOGtAKIgoPzkBAzyuL94Le/ww4RXEhFWciFJoH8UCsmk6YWKhJ90DnfmfwSG4pf/JllsQ4yf2fEaepxMe6acc9ni960bIylg7wmDOPASPINklngBu8Ubq4r2w259BOAJpUBVnDPvraAVC7To/SfVIO32E0P2+CnEGyjIojvAFPtm84rQTRZZ+qr54L0z7LJQQX6JeSLiQtAhF5MA4o8/ai671/TMcQ+EWpCkD4bZllaPEEwowwm8/62T331bFYRAERRkbkGq8goxBdpKnEX2OXlKw+4exBlAlAdD9kZ6gcKViEnQhB9pSqvFhdL+val2jfpvURZby4kouw8D5JbdZAZgUgvjTwhYw2lSwEcdaggcQZEacbCUpcajdmBXr5Te0+uZyDt2gDcCuvl80Qo/QB93bEEM+0U83Ov3DJIbg3Rn6Kt+b6T31Eiq8H2b9Nq2yuknu1zoBEWwewn19xX5MzPptlTFIkLmlLAjvyPKCfnFmjU+ypWrzBA3QIUPOe9Gp397eIxzKOyuJsCVLjqsXOAyrf5i+WYljBzogap9SMF/kbzD9Z7Ko7mFgI0SJyO2ZnprwXv22wSglISwiwxOR9CP6FrDPRhWsUgjSxkasEIP44R1gSVaSD/Z6lN3+LIT5A01u+H0VyAhdnMcRvoe6eD+s75+ZFa+QB1MCZJwsC998IBMkT/RRZWt8EtJtObOpVjgIgQEQVS8vwumncq75jZ7wt2GTkuUD1EGyrKj2odvpHya3kRJ55K5iGjRxFXflih6w5pfkTWRQqa+YeIiS5CQZM8ZEGofRqd9WvArPssrrCzmoGJ7AQD92Tfu8ZRKEND1hUL+9PId8H4b1fZViUPHK999Ik89qkR7kHXqR7X5fFZn+8+ehmXbnjf8cBIZz85nIzFrBT8Pfx9MfB9cYHenz0FijL3wezPrtzwPK2/9Ew5yzf5IgBs+PcQDd7zGcwguKs6B4KDa/3aL2go+vZ0HwJcbtGwL8qYVnN0SLh80j5dB272+/syLgkDdbMoqUeYVa9UGE1Z961rs/kOQSBPFjEZzJrpzYnN/89KL+ZIO7sJHQ3zaQqvcowlV0zRWXyNZczAeqs2+3pHR2+RrfbojiSXyY/lMHjEVdgNBGan9fgyKJHwL+b1YuShY7WlzUEdnZxvG7W756UDLO5BGa1uaB+iL+eHgXUOdV4C9bUCZZ7Mg+N5qsvkQO6wU7er8vXbW7O4EDDzr25RA21l3Gpe9tcT54pBS2jMphtaiwdb0hkH0/kr3q+M/OzJ1Op5lrLjgg+MWNcbz3Anq3rjs91zeTiBAEhKaAoc0NPZfp9PbnOQIbuvqwLOeKqoWDLzCdnp+DzalLunKDefbdhSTlysPcT8/dgn9yuRwwsLsMiz52mAEwDOleQLjmUR4390DP2BHRvLnkvUXxsdmVHQsq8jbn1bKJ5PcWXo1Y6rCDgzstMLA7aF79/gINcy+gCr0uBpPvcf7egmvc2/evFAoKO07lFP73xxtibUpVwIXbg3L7Dpqk/pPz20v/vuAidpYx0Uw4WTWnrFbLm0mmNyf6LwBokK4ivfvvgsfNcyaV7mJerfYF24N/nxt7R8NeCLkLwQ0J4+zm6G4D8PrNkxSNzjW7DaEu3dxAbMPba+zzckJR3lxjbjfY8ri7dHeZSQ/73OVhdfHbRa8bbA//BercZqtvVZcbWxXUkIv3U7Uhl+vAu1v1v9Ex/ZNVP4aHNBBUEtHnddDeqiD/5Vrsqku3xOxIsrE5p4i83RI7clz2USPUtfri9xecBf6N03HEEUccccQRRxxxxBFHHHHEEUccccQRRxxxxBFHHHHEEUccccT/RzjO/wDKiiiUgr8tRwAAAABJRU5ErkJggg==)
By completing scatter plots for each of the following data sets, describe the correlation between x and y as positive, negative or none.
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)
Maths-General
Maths-
Find the solution of the system of equations.
![y equals 7 x squared plus 12](data:image/png;base64,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)
![y equals 14 x plus 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAAPCAYAAAB6Iuj1AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAZhJREFUeNpjYBgYoAbEtUB8gUj1PkD8n2HgwX88eEDBYiBOI9IhPEB8bRAF6KAGxDhwJhAn09gz/6kdoHOBOByLeAEQtw6gR6yBeC8BtaDA7sAi3gyVG5AAjQfiLjQxLiC+BcTCJJYl/6nkQDYgvgTE8kSoPQfE4kj8RCCeMpAp1AuIV6GJ1UMrjoHK8qBUl0OkWg8g7oOyXZBSNS0C9BcQfwLibUBcBC3jMQAoFV5B4osC8V0g5higANUD4qMkeno3ENtDWw7CFNTWxOQwFiA2hia4G0CsgU3RNyR2H7T8pJWDCAXSSSBWITFAC6CpR4/OtbcbEB/EJnEYiJWgGJQ6mQawlic1skCV1xpoQogcgObQD2yCC4HYD4iXAnHsIGzX4VILSgCboJUoqDw7Q0SWp2aA6kATINYsMxdaszIMkQAVhVYOwmi9qsU0csc6ILaE5l4maGUICswgbIoDoAb7DVAXjlRPs0E9KI1F7XKoZ6kNQqFNyT9A/A7aMjLFpRgUkMcZRgHVwDZoch4FVACggnXLaDBQDgBPnowtST1g3wAAAHx0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+eTwvbWk+PG1vPj08L21vPjxtbj4xNDwvbW4+PG1pPng8L21pPjxtbz4rPC9tbz48bW4+NTwvbW4+PC9tYXRoPhzkFMkAAAAASUVORK5CYII=)
Find the solution of the system of equations.
![y equals 7 x squared plus 12](data:image/png;base64,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)
![y equals 14 x plus 5](data:image/png;base64,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)
Maths-General
Maths-
By completing scatter plots for each of the following data sets, describe the correlation between x and y as positive, negative or none.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA88AAABZCAMAAAA3guYyAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////f39wAIAJSUjEJCOlpSWpylpXt7e+bm5hkZGe/m5t7W1hAICAAAAHNza4SEe2tja2NjWrW9vUpSSjExMb29xVoZSq1aveYQ5ntavaWUlEpCSs7FzubWOuZaOuZCtbVaGeaUtRlapebWEOZaEIxaGeZrtRlae+bWY+ZaY1qM5hBaGRlazjExOlrvpRmtYxneMRkZ7xnvY87W1gje5lrOpRnOY4SEjK2MQnuMQq2MEHuMECEZGa1a77VaSuaU5rWU5kpapeZC5lo6GXta74zvpVpjGYxaSuZr5oyU5kpae1oQGYzFpUpazrW1rRAQQubWhFrv5uZahFqt5jFaGbXmpebF7xla7+betVrO5q2lrbXm3krvY7VahEqtY0reMa0xhEoZ73sxhErOY5RahCEpKa2McxBaSq29EHu9EIyUvea9rRmMEEpa79YQtTEQQimMpQiMpa3vEHvvEEqMEDFaSnNajK29MXu9Ma29c60pvXu9c3spvRAxSq29Uq0IvXu9UnsIvealOuYpOrUpGRkppealEOYpEIwpGRkpexmMMSmM5ualY+YpY1qMtRmMcxnvEBkpzhmtEOaEOuYIOrUIGRkIpeaEEOYIEIwIGRkIewiM5uaEY+YIY1qMlBmMUhnOEBkIzimtpSnvpQjvpQitpSnOpQjOpfcQtbWMva3vc63vMa0p77UpSkoppXvvMXvvc3sp74zv74wpSkope4zF70qMMUqMc0rvEK0QlEopznsQlEqtEK3vUq0I77UISkoIpXvvUnsI74zvzowISkoIe4zFzkqMUkrOEK0Qc0oIznsQcymt5inv5ualhOYphFqttRmtMQit5inO5uaEhOYIhFqtlO+9zub3xeb3Uub3jOb3GUqtMbW95ikQCGNCShAxEGNjQnOUczoxEISclLWllO/e1t737wgIGdbm7wAZCFJrWkIxUvfm9973/5SllJyllAgZGXN7a/f35kpSWubm90IxOhAZCN7m1mt7e//39wAIEJSUnP/3//f/9wAAAMbGaBgAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAxm0lEQVR4Xu1933KjvNMmlTGmIoKHweTkhVuYIx9wkmvwBXDO8d7xHqQy453PtVX5quLBcTC1z9OSbclvPGOR/Gpra3n8B4FN07Ra3WpJSMGIESNGjBgxYsSIESNGjBgxYsSIESNGjBgxYsSIESNGjBgxYsSIESNGjBgxYsSIESNGjPi/ADW+xtf4+n/u9T7qdRiu8dLvz9qms/Mjn7JN00PqU7dpes2/fLf/GaprknWOfMr2P0M1fGWGWfufshVm3/3lY9t05u5/yvYoWuvYZ2zT2hTgM4TJpCjkzdfvCb7xwVZvDj/5bYs2aawjhuL5lr8ezrhqO7l5w0myh807FI9b/Y+/b2VTJEl+3Pk8qreQwWHnI1TtTVF8T9r8eOiM0mmLjDN/uWaLs1qI4Hj0EtXiu33W37b4ypOWJ5r9I51/0XXOu7Q97IJqgm9z4H2Keqv/8fet2UAGp92P0LU3RZO0ONEcw7ehcbY9/OFI49L2sJsUvSnBLkL7eN/j3QcbpPji1zBUSWdSgFAVwv3eJMwVPKHyyKSIEyWbMt7emExWJgUIEZKxqfvzGgRPd5lJAYaipmbx6i+D2/R0jiaBz4lP/Ta/X40+vbUqcIaok1tDqAZlUpkUQFrv0vWFKnKTEgjJM8p8m5+vR9SAIYMzeh/QgzqxlPbAGz8f4rWfz03qDOHEJga+N3veDTebvf91DJzyrIkF+OAe8OJV5BL6x+vR568mJThSkq2wjtQApiffY5MSoubeLep4Q+qe6OzyLOSEohDDLvexNb9fjzYlWxqH2yabmqLe96eatieTpnNJk3Kom9+vR9la5Vlzh4+mL+RM3vlBzRuTIg4ZpOkbznkF8/v1qBrbpr3HKQ/pn6+HU54PvApNYZkHhjAbFu9G0L1dnkWX+d7zDvQVhyGyynNPKhCHpskX2+D01g+qsU2dSwkf3IhJeSIvrPJMYVMk3NrUseeHL0lpUqAqQjBkhE/um1vwguOfDxQlxzZGAGDfm+rmtT2ph7B1ooZvoR4EO/379bh/+2JSctfQL2FN0x+qBcHW8c+fJtkgyk8y0OfLfTNh6YEvnq3yfOTV0NIixkeO+6AvXkzqDOviRKsPVL8LdrtdH+yQwHsoqhvHP0McIIkvUMQbO7yO+fF6bPLUpAxo2EiY3II8zZzCxxeTyak8g+huA4YVtyfqAwxzd2P5Z2YahQsRM8UDvfI2EcCmWVslb7fDPYNurwWAfZiOdw33X5De/TKpA0CXNMk0ZCqce9dRHP98uPENM97SAm/Jrtz6NvMc5MAkrkDam2GSRX3bCrvIL7jVvIpxY4Fg0hN1YlcqtRaQXSlfUiKG5Fcwvxg/mwRw4JWS0f8edCng8c7yz0ciuAUWE73DpE5dDTd+PrTZQ82oKEeG/XnOrfjZFDbwtwG/1EHh3zDtgy9WfVuIgUPS0yl9FJbTE8qtb5vzcfuUAMmhgB8PXw3l+mforSTANnVBi+D0h6txFj8b7CwtGIK4sOrb2uURTJG02fNnN7Lq24fTyaoCWTEQZNub7+7GUlqT9aQKdj/Aa1+8Hz/vXuz4WcVq9XO1VYgWVbxS8S9fvTjAjZ+hE3FZxqIasMZqUd7HTJqfr0bv+GfwtgVVqhzF1PMS2KFP9YQdPyO/SGuFTNS0QA3cL/z9vhM/S1FTv+jppLzFWgQDColT3zaSFbGKeNVCwXRo9fNBapVnymCr+RPvSbesygX49pWB7Z/JHvNoiw35VQriWKmt8haBmrv+uVelyR984TKg+hP55w2nPONN7SKrEEAvAqEovOsoTvysWKNEHpEqLYOKM10UfKkG4fz9O7T99qpLQyCdwvVNkVx/seuhPoiSf0wKctkEcdW07ctScjKIH3/n+cvzAIGv7PgZdLOwbXMQEi/STdq2kB1vOPEz7n3VFRF4JS1wqRbVy6zemt+vh92+TarqfhbG0AiSzMJJU3T9gIYQ+OeT5FSwfcpx28gw8ApuF1FRy9U8oez2bQiTkm2qGMrLGiZEOm1m3kSDILux/DPYI7O/wSyUOY5e5mERvoSpE5Vcg9ipb6tAmI1iChOcriKSTe/Nzx6wyzOYrSe3b0WNigQUeF++5pMwk5YETzjxM7JmgzvHLSOo7fsyyid5iHLhDfVi1attOO1kyMebJHnEkT6YPjBDzQ++cP3zNm1um7ukqVnwyjSvV6r6Xvl7vJ3jn/fZvCjyt7snmglV4RJt0kYrVjg9YcfPEHmZtsmryAAmdL+q8m+Z6v0tqOufYSzzZLLQIX9dRKt4dpvGVEA/9A9W/AzlfWj/R5s0kAFqgqtlmLTPVEZvZtP2FD/vg+x729wmSVhCraHQuyCeJ+GKxs0Pbvu2qh4eQPa2QuwYPDfJXQskzdL8fDVWL3b7dpAVwmxRMhjtd3WTgOockja/Xw23fXtaTIomaTrc9S4o52EZV5NaVMIP9ZultJv9alkkTcY6zyYo10W9iqscueeNC/Gz076NgrEIE8Y8ULOueB7UqiCIEqjVAWpaPC6zqknyEjtPEBFs7Bo35QunfTsoox+LTRkK1WBapPV99zt5qHUlwAuNGz/f13lC/4xioYI4zWnfBsBp397s4ixled6DWJaHcPeLeTv1Vw+nfXsPw5BlTzk0hKocZ1F7C//M8MMPTvt2cB/O6/s6TG4q8U47lMQ2saoFV6NMTu3bsGLz1+V9N4Fd74P4tYi6quvSpliY36+G65/jsJjeL9PkRmdZHM4qEC69Bev65yCr4HWyScKcChZh8wOeaJL762zQtbbS7uL7xzuo/g6Xgg/iIK/4RTTYD5fiZ6d9m2pQTmDpkIxnFS7p7T4MHP+sXms2OP7TJF+xE0pBhoZ03gqibP/cx6j+wPw1LYSivpLbIGuStb/bD4rvlk7BcqpU/DP9kXqV+i28sze3XeLkvurrNsd1SF5XQ+uk8K8AbWz//LOjad8vG5Y2snj/HTYCCf/42W7f7masr8C0g1/Q74NlmifpdkD8/IYcP0CBWfAleRQsqhJeWiH7/Ovx7niS7lXUdZ1MSlrHeo0NK7M7b92127d3Zcmb7W5Y1pBzsMRBH4nN0H+4GnViKS27TMr8Af4ZO9u5FGQVtVNvNQjmL+/KTYXFyZLBvAV91b5VsJ8R8s9fhw+w+5+DWJfcOEyiPliF//ML5K5SFkNPuP5ZM5c1FEqcSY0ZBTH8xY5IP9jxswTNM+OfUZu4YxlktKN/9sCX9lSepSG7fsN1QHQxoXQQ9zVin/0A/3xSVLntPSULN8LD97lYN2+lc9q3VaYZN8oMDVxH6TD/bMfPq6VIOU5hxoLYSHw2QASxM56k1szWrMXC/c0iUu5ZDfJF1PxvkwIBnM8saxFmwFi8oVLUw9V+ZwH0w3PyaFKkiMJW5s09CjbIFsgslIjUUpSrcck/u+PDoHYoEw91X4W4hr8OHxC1Vnnu6TJReU2TCLFYleSoby2KAb6pz2cmBUDAsMLBModn7nEJ8aBVEv78WPxMQMKpNtXl7ySCeeDosFMpuhJu/AymMuOfy1xXQ+PCyupr0d+eChZuGzergv3jTYiDeJffRUX8M85p35YmO/DZsjzDvEWvZZWs/VsE3fh5t4F7BrUqKVZgXZqK48K/un3W/ywd5PvgvmlYx4aNTJ+kz8NfBlHz06SYS6JP3aRjCfx9V7FVsGxa72A/qO8s/0w1hX9eSkikomQCFSnz1FW/a9DbftjGixVXs0cX10ONO1qLmbfy2A/n48PYpqDW4pKzPCmyeFbgTnyLiOufkWnUjq+xrleQmKpuWLr179cjn5wqmzxdpW/wzzQTMD5l2f2AzvmLorLKM/tFN8s7OKZ+TwlUNEXxi10VuxJO/CyS7YNfadvhIN4Z/bMZzeUD+OfTKYdhXMsWXh+K133Lghn9sy9VWLBTeZaTWfYe24qN5vCgm2DZPOrReD5w42cQpWXIHuYwQahZJYnp83hf3/+As/ZtKkIl6pS1LbtrdmWTTPXPHuic8dsgC/+M+JkSRuiBorAOxWr6Qb1cip8nlqbqLsauTRpUufGCnIahshtCSPdgiyGeH03ShHT/3gJ34mdRjp9PEwmcKQ9cYovgvPfvfHXGb8PYr6IbOkGwjBDyNcxvc/9Y/8w/M7/EP8OdLIpkzQvCP/uX5/7Wbt9mjoFQCEcqeQdPwjY2b8kG6a0jAlJQ3YN0HcQp7j5i+7Y32RKGyySR3az8CbMZm9nwgp7kNY/5wRm/TZoMy7tG6mllXYUtm9CpDp5wxofh7E0c5U8ct539rxZVSkgChtibW6f/mcVrIfEzJbBDScuLFCrrn2Hz98dv7+znq8RIKJSKhPaIVt67aBhE9vgw2jqQRt2Fe8EGd8HWFX+Bn8fPKnuF6UHABHnsUO0M6gZ+Ve7CC3lxqkvSbv5EZACF2NCAhj+Wy/Cm6fy5tdu3Gcjs6vY3Cg0UME0kasweBtS3bf9Mp8/Sm+Vwg1IGs/wW9e0Bkk0t/4wUe8kXL2wY7VU1i8mytLh5orw5mXXUSEg4yL5Xuz3Ik3cVimHzhOufWdDYrP17oWsVQTz9reXri6jZHfUd/lNl35Kk+QJO6+Q2A7/9ghUr84erYfc/B+xMFf+M2gnKo+pQnYCq+YeIl+Jn1MNPGUldA2VkXhIuxET7X0fjq90eRlMEMc8RJlD0fVUUSfs6pO/Vjp9JK15GTZKwjReGD/YzmpcDTJ0bP+P8VaTbt4O6bWGgEewnk9LbtHU3VrDFG8/e2EoKTkEvf+yil+TBktKV2Nj+me0rdKDfYtZaGfJ+Z8MFDagn3PhZ/MgX+E5IteboB/hnxM/eaue2b6OQ7FD34aAaUGJG3U+g67yWF1bO+DB9s13eSc4LLV0B8pZB1Fh1FJjJRT2TDmiEwO2ShD/sn5FHO+Of5aWieZ600dafV5Tb98U2t+Jq8W19363DlgEkTvAV9QHO+G2RuJJRMaCvomKZsZfb+x6ClVPflvP3dZOInYAD7KchShAbczzhxs94Hfzzl6ThOCOE0ezW9cSXu9MYJbHGdct6PUtg9u0hD6N5ksfeNSCnfVt6yNVTAf1gdoFw/gBG/U2a076t24az8Ilhbjln3ZX++Zd/m7HTvi3+WXXFkpLlaxdUkyF+1Bm/DUBJy/lXyFXyjrt10/g3RNM/m5RIFnRUhwpaj4y7XXJgGOJnyMQT9vhtPvJM/yzt26hUREWZFQkb23xxsf/5rH0bV8nCOk6ThynMB/aGwYmfIYK+r9f0VhD6Dz5UsUiTG4QknlBnzz9L4FTdFLTFSGYpfRPV2hNu/Ayyr/TPYLtm1z9kkN22/uNTnf5n8pS1rBPSRCNSqMsyRB3Wm6rdvg06OLBc1zwCq7mnf37mJbxF4D5fBXpx+ggR7PrqIYzSdJYnTfjFCi+vg9O+zQLcZ98QjMP37fDp+3COYkd5eMHtf5badvSIHNSt2lTbPoQL9MZXyz+TDPjazdi5dv9wN8URtoex3dEP7vgwMAf/zPZtUO/yJ8goTAYwC//8ruq4zz9T1OUcvomN0AyezA/ecNq3aTJrDtMlB2Zg2GJ+57TrXAWnPYyiEZfUMPoFp1mKWEd+8IXd/0y7uUrvdPWkfuBoxB0i3Vt/6/OltcYQQ5mV9s9gT9/4841IwhNO+zZTGWeSkogZX9o/+0vAfb4KxBZRpOhNVDVp8jxvbpOHJj1151wJu31b2sPE5IIsm6SZdRCz3IQXYru+3e9UsI3Y6UwzKdmHbTphA6En7OefQVXqE10L7Vp8b6s9iNetVNf84MTPrJyZ9m3ESXPUz1i3YG3QExfbt51yjotsU4TO8HqtXMT7OgaVVd/GLeyhdKxYomgvfud6HE/72/8mzuJnmOYdgprwF/OujCrJwa2vuf93/IzaJfwzPH1cwC7hwH3TZN7q4bRvQ5eh3QVbJajOOALaNBq+ZJ32bbBYRuIyenh6qJ+On6k1nrDHb4OQqmRYRrBScbbMgDAp6tI7w8o7VIMPAE9glqndio+Y73dVw1HB/vHzWX1bdSlVliIgdpu+n8kRT9jt2+BJrGLNx1NV+iaVoq49G6hwDc6erzLxM8ealw3KMy7U3YT+ZC+N37b7n3EHqmJvGDQ5lGG2Q+GMD9v3dfoUq+2vuMuC+AWhDdtknXrjdXDbtw26XHSmRJVLrX4u6gFc2+O3YXLM+DCUQfWoh0XV7QCJ2/3PrKPsxT8jxZoFBN0y7vduZXPiZ3rnCLcdx3XG2rH2z/IIlx+c56tgE6tZBmHG2bGfbpbICClP2PEzJFDOwOxWIY9AltaS/fH+2eW0b0OYT2m2+/VzteziXslDqAgZYSi8hRA1//tofSRfsBflrP3UtMSBWt8NaPSx42eIcGPiZ6TLPId9Z3g+gOx18XMsJpNalrUfKdBu/3M9adYpUHz/Qc/PIqKq3H/Qqvv8c1lnMewCm803fflyG/ISLxM+O+gJd/w2VCyl9tK8LX4jHoW257V/l4I7PgzEsjfWr6QZNlhV+StVhMe9sLldW5xkRcvbXoc5bhvHy5z8MpD0hOOf46gphOrvdCUtvcHuVbrMfcm6z1fdF+0cVNN5gSoFavMlu4whAt8Mc+NnFTWT9Fuaht9RccleoqzfZbNKHJ8nnPZtaBckWhePlKtKWe3JcsSgOvs8AA9vUgBvNc5llBnoVlKQVZRn/tW0a+Jnlc3eWlg52LzVl4cEVSx/r6QRJSi5Bup+khjwYZU4baqsfAoH2KSVPT8JHFyTdlWonx2YmyuwydgbVvzMfsG4ntwUtBXYrZuivn8qkJu+Be+s/zlQ5QwWEnXWfqPiMpoMCh1x23a9BqFXcqNvG8ahV4uqSSL9tLwf3PHbkZAEbpeoXG12iFFlfJg3u87zz3x0T0NGv/TqiY8rDfD6W7u+zUe/NDjSlQM0qir9ivz0zi8nflazt3zWVdK4D0qLMFxmKcc0enN7Pj5sUT20Vax43+U6fyqzbs4xpZ643L5t9T+jmpVGX2GXgt19lUZR+ugf/mtUyZNJAfVrOovS19nrrKYd2lbr2Sz9MUA9nPawXZZOikn4DDoIRb6mEa6B19R/lis3fu77+6fodVahWLDemqXraLaU5khP2P3PiBG3XRTNqnoF7uL6MaJq7AfUjJ327Qw3/WpuGwq8rZFn0VQskSfs9u34CRRfKc5qBb3jHCV99so6sm8ZgX8+sVI+QqXA7eusU+xH2XUsdv41FLf/efXl1XBbsb5ThZMiRb3S240CTvxcr4tJwZ4DsMcse0zTGRvjvetpTv/zvo+XOo9QskE1CtMZ2fVuQ3DGaVtA/PzvO/fXsnPY85M4kKrgz0UMyXFQgR+c+BklJF5wXFd/Viq89cPpf9YNpAIYZnCoYsRkA4Zcue3bpymAWAFYsKNNBjB7Qzn17ffhz6zjnx2ASwoBqQEisJ9/dpoKQGuHSFqakL1L3vn47SM4SiWORScGhBxO/Bwo5JJYeZntDCUu3gpF7xYPu30blR2TEq8PqEUM0+PPq7pm/m2TorH4YIm2n3+2TaVYeybYF+KtzW78rE8HGWajpIghjLvzhx18sXFNJExevQmf9T+LCebds1yAdz6zpel7wfHP0kmuuQUhNp7qtD+z6d37p7BeKK6Et+BN1W4P40TWB2aZ+bxxiGGACJTTvm2VLzOaRBgdwG3UWMN+SYhbnVuiayJhb24d/4zb15mkOaRHE/F683p5/m2nfVvXMdk5hu0g/6Fhz09CW7kjNYUULoBQksc4vMAT5+3bJEfBkBj51SOE/WXjjN+mOSZZiAAsklnNq28+OvN7Cp+8/x0frEFBZv8V5eIvA6d9W3NKoRqpct9fAPTPJ6qGpn4JTb3rrw3lzWk8laF4JKyFStbNH66G0/9M96lfIlh8uMFBf27Px4dpaXKyU7z6vdD1V1o7fgYJkQBIk7JmkzveyvWH8WEm8ak4Wx/js+D0P38eitweHPVZ6Kzxnp+Ih7VJfCqc8dufBrd9+7PQX6pvfxDO/GGfhqXdHvZ5uDB+u3+ZLGLBL705w9ZsPbCNt2qWVIrn4r06HP0gwN+iSTVNQL5dou/fwUVsccL2F/hbNZPyT2cfrnItffL4K1aPdzVib56MvTMYmVuJKwAqv+JFGx5lesKBjFxNJ6/GluTSdmGYtDaUkIFJXEObt69f2yyJfp6OnnAk6w+cel80ijwfqbzPlcX93yCqoNLG7B4z7EB4SHZpMfyKn5L0kF//yrahANlL/jlN2tv2Fmi5bW/f8Grl67+5xU9v/PG/8bk2iXebvGmy7e0dEpoa3pIU6vLyIU3+SFV25ACpHGlho++AR3DGNW+e0N6B2URSJEpymlUk5C309Y5mGCf+9UNm7sCt0CRtnnqkI6Ras8ELVOVvf9nyHMrgFjzLkUM2/TcOv93+F/dOrPMP//XH7yPhO1JlPmnOhQb3yOBpS+oXOLu0FWblJW8tWE1ceDy+5Uf+569JnpskshG6Qg9v/MdQ01+SEEZ4t+9+bOL884FbOZMJvEAZB3kAG/kZfzf3d8UXzqMamPwiHeaZJkVqhiJz8CKN977A6/vDpfv1Q1ThFckH349M6CNRxWT1yD28mPprElue+D0JNT2NU1pIPh53kNKnHolI2k5KSv4dRbffJan3ZXOgRbomcTr9jy/5M/4OPDSpPoLvA2/cl135p94hcZP4w0sAfooEVPUOjzLN801SDsv3geO/bPl/vNI2lzP5g2FOwENHuZrfKNM/vUnYnPD9LsUhoXeiqYF/ysacxRfJ8/s9TvV/9SZNCn2C7Do4SoLnnaR6OYkt39hJm/bfvMq/T7llPjyT39b7cID/Z0qzzFT+IFu9ewT+pLd6wzMOH3P6u19yAf47TH4LiQMZ/ig8aIZ5SL6E5HVf+I6a0JTgM4TFRjc2sv2AK/9sVK9f2MEHR/gzEhxzK4n3kmwIlDYIWZMvqO4QOLH5gJV8EgJdbCVlpTmfFHtheRH2GwtFuaBOq708YcZdMqjyVGan4U9suCIN9vpwi529TuzZu0nGLn9wMTYt4kL7PS73W56T2JMwNqCChL5/EYfZkbvb6weN//URsvgf+RYW90H3dngYUNYlFBpGvLgELiNbnik3zO3hrv+1z62++uYhNHLucZsghpTmV+GEDd7cQVJO5lty6uybGy1eMosjnJ9EqOKDb3zkay+88T884XgiWUbC4lAykfmpKSJb2bNT3j3KeUKCN6t5FRb3WrCab8kO/PNiktcjDVDdr4pcJLE3vSRCEpIFzQ2ygVTxwUGexFvUuopvJg4HhCTP50XwvdtXDUeV8RiIQwB4Sy7pfDKiNvd+IH3pS77B4D6ok5lug6d4AzAIQqIF1FykQJSE5Sze6BVfKCz7uT1vgQV7/arPgzP/9qdh46xf9Xmw27c/D1/urPFhn4ZNYz1f9Wno7flJPg/3b/+JZtGL/c8fhDP/9qfBWb/q83AhfnbGgdK2aEtq3oPv76x9W6ix71WnYGW0tfLEef/ziR4N4uEC/ur+3RofBt6MXzDEIQ/sDpCE2/8sROHENGWQw5seyPx+NXb2/NskJpT5wnu3gxSYNL9fjU1kt29TBNILr3iFD6C8s3RZ362+c948XpSvP7Nn61fpfCdB8nvQLGScL+zyTAHwLSwK6wdFM3+4Gs7zVUJWUzGaKxzj44sL83v+a/1nLRsrcwfBfr6K3XgEtI15JzumB9YT5/3P+o4OXcQkzCNyA15w599GdZBEyCB5ZN2Lb2+R2OO3zVgwWf9IyPLmQdGbqNv/LOVNyGgBcKw1tcVb6/r01pqsAISoaLiOyGI47PnDkDnS7axl2e+NOg64wvnzVdzAjFGskK4YosOYIC+cz+9JLiXfQE1zqW/AD45/BjnmkGaaH8krarAnrpqfRP3axooLS1JLpBHfn30Nxz+DGhxc/Ivjl2g2t2W2kLDT/H41XP8MccflPYdZ44Xs69WW3RgDbJ0zfhsBcpyVXIqNubffcu1CUjc/X4/z+UnMkpIKVo0RcszlCgfIoLXr21S3Pl7w/sGjDBdTizL27k5HfduarACMqTIrf7JwfAglm1EOkKpOr2+bO4PXVlw58+kDUKhSz0SON1dGjVfbAUXP7n+mayazOILShrT6uYrVagDV+sZWWlLVD3WSKBQ4i7maq68Irnv+WdVp+BJWfAao/4X0t6ml516I7PkMoHQqqzi7JxVO1S9Nk0clHZUnzvzz6kvRNJOopBXtVXCfvoQv82oAy/b4bWjyLG/yeQc60JBp2DzkaQby3tza62OA924OZl9LKAodVPY1fOaQI284z1eBp11WhREb5LRdW/0TVT/uvZVuY/tn1CLuH6sq5dMI/gGBjXv7+SreeVm9gFnJ+gUbgddDJkJ24+cd86hBHlFrQVgvXDlsPgNLsqjwLKrw8ReIIpd6XISLYfKhFE8460ui2hfX6/CerMJJd1Rg6oS3IvxhfpITrX5R3SRtJ61/u2xyI4/eDYIzvyekUaetTACI28jSWRUmyTepyfjBnX+bD0zmfKoT1VqQUpU8NMeJgM0froYdPwdx2OY5CPFJuaDO27xJkjwboNiOf1ZPhlnOc7JfLSGPiAMevZ2Ts36VPFL1kLDFG3TwidO8uo9XKNyeeHXGb5dhmsXLopn6E3LgjA+DdVymTfJCWasg/vbyIy5TeQTaE+7zz1zB7DfyCJJFraffT+X5ySHzADvzb+922axJwpjTiEFrY3kglwtN+WaYEz/v+kUn60vSz/fdw1GBvXH5+WeTEqj05oYTMuBVFpYj8IU9vyes8apcytTFKHbxUwcfHfGevCtzrn/OfkPpuMAt13/cBdms+jHt6gHTALvx87R4KuM655TLQbwOs7iMWpYYbythz+8ZZAWZTWW2ZbzKKeQBOQ8av21zosp6oocW8BOvdfnwtj3KGe8Zp7KIa91achmEkjdpQJO7qOciSkigkhWRMs6N5wt3/arFnHk0u0lS1mBhiqL6x7QuWQg94axfhXraMmR51vWp6bqrn+uMYaInzuLnuIQbgmrB+JRzoxMDFjC9Kn5GquRU07RJqlvDbHhzb+DGz2z7SLV/xv2I4jUtV8r2hDP/tupEdeOC9g0GqIsMs/4xnx0/byvpNc4alry6oukU6/Mx/6w6Tl9AKw/pilRTLs43QD02jeWfeX4fycyKrMOiVOpZB7y9vjs/yZITWyGeCbm29kfg+GcpbrLOBhLbomGu7VIpMn5w16/qIsmjNAFBtetrLiBHsIvYD/b8JOIUwCx7pKFQMSddJKR11AvO81W8dZnfE1nU11zykatXcJkwX1x6/tkuz4xDn/REgEEWdjBS/r5Ow5k/DFR7taZ/pmHGPaFUT3gP73L0B7jPP5vp6R7fZLoL2GXZZ4gixz2QW/OHrWQ6h0CFSboKyoW0i2Rtu/RuMnbn39bP0gZPd1RjGnzIgwLwLi+KE9QdAVIrmawOWter6k1Wd5NmMT8484f10OMtNBcRDJe5+wCc+T3JLExjKPFz1nDwRh88JRPvp1bc+JlLbILQ8kYWZ47XenG3IS159vwk0gchxkcMZZdLNcI0pnvBmd+TGaXn94SKlTrGn7YDJgu/an4Smg8oMmuaaoYIZGhppn+2OyooB/HPLMuiwwtOt+MtG7d9m7kIEqgVQhy76uY2fCppTHHYExNr/jBaddgcKB44ZGmGr+OKgB+MnwE272ct/TOzVeQhDUN+2DRWGMQMUpFeXJJsahtB4y8/e8D2z7h3VLTBY500A5qVLJR3zvoY+Dwaf1y3DyXZrx9a7yXenPWrAPa8B6WeQr9+aObSoKurA15w2sMCtd8Ls7vdhiv85q+cfEscrB+c+bc5qE/m99RuTXQCnHNadj/sLsXP9vwkYn64ZtM2eCpgkMQ5DYLdvk3hBuKPYJg3HJwByy8VGV8484eRGoSyr9gEFmyjpk2SgrPivXuff4Tb/yyi1othstUYUsia3+TcE078DGbBq9LrCVMCIcuerDLoB/jnk+DYR65e7xA5gufN413T1V+resBgt40zf9growJQrm8GeA4bdvwsMoCpQHAAQ7Zs6TV2KNf+K4+ctW+z0ge1fYDjpyOFGuRPQ7TLKc/Mro3UU0gpK5okadkQLcrsBTt+Fi2S+T2paPRtkEn9MKChqr9mfhIAlLv2rSq/VVLP8HZKBk77Ns2E9s/IQPgOVUbNGrfk7UWc9m1YNjawqfRhSk7LrEubpK2sJsqr4bRvgymEXr8KTkMO6dPM/9PYanktbP/MegNuV0UPsDhsjeZi2MhN/1rh3o6fpdMD/hk3jUSYNLMobLhAn7eCOPOTVMmtOM36rf1gebbq23RNAYuI5FDZiD4E9a29Uvh1cONnahHeTw+yJOoiq6M8uePs4d6m0mnfpgjBLETZw2JkNftkuFqzN1W3fRsmWPtnUmLBQM2yqQcEB5f6n+3noumN2OeRNHOuhUALYn7xhRM/gyb8ndQF5Qr3KWyozNrvCbd9eyPDzbIcca4Z4VhPkmZphvL4IC9OlU2YsT2k3uUQsiwYv4FAXlDt8haFPX8YqLIpu8xFm0FK2hPosPTv18OJnxkRcPF5oZLlyaRW2yi5ObQMXg93/jBQCuO+X6SDZku1YMfPezZsSPzMm+b87lnQb6M3/6Ugz/wzyCGPZC5vkcwuCxOu7+oNu32b2c3gANkFqixv26o1sYIfnPiZLtn4Z/FHuEo8+bbl1g/q5cJzF6G9/jPoQiTLRtbbpLnzLxsaTvv2DiZ0k9494g5Ar98t6qpIkpm3KgcbJ35medvsHkMIhzlKIIIcUHdxx4fBIPd9HL7iEHwz6U4nPyAKb7pu/EyqfVVkfDgGVE/1FU9snHUIqHXa5SlmG4sGKEvLkB+c9at2XfMWdnXVJIXtsfxR3tnrP0OXGZJyiEbQL4tkUtVdPoDZs/iZtnxXTaYQAcMPHFlIR5O3bKPmNEZOCFXin/e4AmntuxaxvnfJc9u3lcTPiGUZHFC9VAWvP0C7rhofRlO0o+0sZDFd74scYcfP0uBP/WUBNGN4y3ViBSvXQrnxMwnUIXSYzzBywaFATQd1meZWeRYbH0drBJAUN1ivQ8Ye/pbNjZ9Ba1+vaSbBNnyKrq+wNu8Hu/9ZskjiZ1BHKCoTlvVPd1zDyg9n83uqej0Jq6+tXRyHwBkfJmZM/LOwnaXFPPoKA+ydYY5/hjhx71nYQbuovlI0MjaOeYv2UvzMK/Axlzh8kxjBD/b8YTJ6X9q39RXAcz2XqZa9cal9e+22k8GIMraTJmO54DDY7dt7uFEuOMr2XFIXqvcPD+wK8MPZ81WgVIadlGNSZkbGXOrCOyPt+Fmi8mc4fWyQZvjBJRIGCMIdHwYCJddWBJMiA8bPe1aBPKHs+Jmn6/ZtkK8blOd+D2Ue0G3s+GdSRdjYJU3pzZ+Ds/FhZJZFBMxip1esU9gjvK+Eu/4zEc+gXJAqnBEVIdiFMiDGE/+Kn7+yMsH4nHV67HctKpW+Sns2fvvYvi28BmUqI169xXxpfYydM78n2wphPNfJHMGIGWc7CM78nrywxIvYsn2bXi8urMrNtVidPV+lypSaS/q6Ks8BXQP883crfga3fR1xAUDQxE5ccUT4gAqR458hx76k0mErjZzD42d7fBhzS+JnmghEvUsOISgbNs37Qb0+nDihhQTKSRuZ5FA47dukpdu3RQS0ZbDyA/LLWf+Z2hRHEf0oh0+gSo9v9TpofUlr/m0qrTY+2IoBRg2rHjI61Rm/TRkc4mdeonwkRXLuiUv9z854EpEy+Bf/jJQUkkFwn3+GLLR/ppsj/whxivfty5+w353Fz4tKVmXuuXoIAHMXc1SJdUPXwY2fN8tIyoPagnj8JA949D+5roUfHP8M1ippewezsBNGHkf1uR792fPP0Lq3Y/u2LAwOffEuz+f+GQLtqzcWiqE9HAL4Z+sWkT8cosLVQLn+M3hFvRh+1FeyZ+O3g62YXOTVSnNL6b76r5TvxM/ClcTPrEUBHG7WcXE6Xzjt26zzSfwMHrG3+KpN/IDnGC+MD3OOQ8isVxj/zKDB/OCN8+efWd9+InVQFS3OJk++2YiMdPxzv0i/xkqtVP38Sxc+WNDJ/QAVtOPnQC3DqQLZn12tglWUlj0uUValN1UnfuaCymT2Z1bB5EMO0v88LH4+Gllx7zp+hlDV092cCvnj1t/nOfEz8wiVlCZnt4p/Llmw27elGaV/TcLdjj0T3C0LrjnlrcvO/NvYraIF86iu4g3X3MBVMraqeHNux8+s+ejxYZxQS62os3AWdNeecMZvs0Rp/8xLldCJfqVWWeTd2XNpfQxnnInUK2AtiiTnqEeU7KG5+dVd/znYrDh+ktR/Ztliq7I0HdBJ6vY/l2E7CV/CYsJaUJe/lmpbp7ASDHj88H1ykqda5s08fJmHTTMN4ughD+cv4ffmJfam6vhnYRbcfiezCDogjwjxozH+HnDWx6Bs45SPLDGn4rB9guqlQ7yI458RE6lsztXXBoyCtuGMD2M3B5gtFlBq5pIq1zmDR2/Buus/x1ErefSbDQvZJM1+xYhstgPMujP/NnRVzVBPZQmM06KL4/hJFrDyZdfxzyxSiId+INEHi7SdQH/D321kC/86XBwfZj1fhWo8jNF91SRNJMNizXF/nI3fVuWX/Kb4hyNI66Yp0tdvjxCNN3nHP8fpzVv7dtO+scdjV7V3k/Q1gkulJfWE3f+cfX9r70D1DnWtvmrf2hvuts7w1etg9z/HKSndtIk8WyPySIopV/L0hbo9zae/69Vm0U2S/Fm6I4IszKtlFA7oVHH8807FWZVGpczQYo4Ng73eDYOuuCtu8q6UIV1lN0szlBp/ETjt2yjObxArXowy6ibJ0yhlGOZP123fVosp/NoTnxJYrJMmnL3y4Rz/IuHEz0G/ytKHNr1f7Vmc76Bn0LUBz5hdHL/ttG+D277fLsryvuQkJZx5cBjc8dsI/UGzlKept1367WsnI2y9bb/zfFUPipm8SBeuOa0yzn2hIxMv2PEzJ+YwZPvgcIWsRI3e/OFqOOPDTpQ4kUavYqQQ7/mrndP/jPJmJMugfBfEdVRNKQ5vZXbGhy26blluJcyHOD8A9/kq5A2ZlYXdVj+e6nteAgbDV7Ju/LyAshrJQiB1lEbLeMNKmrcpstu3yVa8yMqSElBxFc6gs9IZ5itap30bZuInGF4g9OL8LGD6XuuE+f16XIifnfZtcc/Y4mYQSn+kKcRZ/xlU9TXkea0dQh1cQHq6PbFy6tvW/YAuIyhmgre8AWd+ErMl7DTy0hNn7dtHsJFTM78bUJtg+/aBGm9bU6DS8c771U9qtW8JOet/VkpqlWTUv1XJRub0RolyQY4yKxeyC4eQ8Bes8/yzfTb5BV0tW1s/roPTvm3qDSAjDxwgzD0d9IITP9NGGr4c/rx5/UP7tpWRtJYwbT1nV4P0+wFjJzWc9Z9xF7rjmWVYc0419Lf9yl2/CmxyPCyb2Uw+QFjSZ+yJyWlYIykYqlQ2uQJe+wFN/W7/M7OMlJACKbFwLITevPa3dv8zhahFK4yLCT5qjA/O+5/x0YwOoHWC3b4tU1vynoVZAfuKqRt672q447dR39F5RMpaNCJXf5/nrC/JnCJF0jQccpjYjj944Wx8GGRKXQBJbd5EJ7Qb9cGl56vgt00CgJaxb1jaoY2ABsJe/5nqJiQpDVg7aB0qG0Oou88/0x1pZcZL6OELt+DPtP18FQkYiDmVPnkQ9vdTZ+PDhIoYePGp3B00nsSd35MMa6tLxpGmnnibnrP2bc0nmfNV3jPY/c/IebCoRx9QFDLBJ474X8Mdv80816VEeBZxQKr+MkB5PrGinwggm0IIwiF9KIW3HjjjtzVXlK7cttZY+g5fXH6+6kI/1sdwNv/2Z8Hpf/48FPnHhim/jy6x+6s+De1/RAb2fAafByd+/jSczb/9afjPrC/p9j9/Gi6tLxk2z9Npx5m3+PWje+6eZReJrvsHaTle8+hVKX4912GS1jgmR7p/poYmSJIqdqb4dPrfV7+n9dPDC1JyNR4hgySj6XNjjh7O+Pu7JrP1bfMFCRD5Z4pjQlQIP+t/gd1j+sr3P9P6x/ouogxIF+fXIMKfKAF8mdvgdf4gzH+lpnXXTig9ISaHQeyfZ+aUvn9+IAN+X/2up13xBmrmWlqUlKPvbZ+968ckpCz4Ip/CGHnmz7IrH+ecv7zB5PQpf6inEO1Bdj8gj3+mz2CcO6SnReH5rouH0y5kcLx32YqkTzpx7buu02Su1UAfkOwXwZIkDqHA+RLF+7kJ3/fD6+Tu7e7ujW3+b0l783bX4kCCJFJv7LbBMb33txTOwh6+cJBzIR7JkmILkrgQ/6k35uTkDcm/f+N0nM8pFoWipkw6ibT5g01yC+7xZ9kcT/pjGrSECXBLqrhf3gzT4JmU38ghfwS35uw/f5M2UtyS6h3kJ8zJBRKQk7vXYtVMH0V4EvUfUkIWOyKBG5ErftQfZhz3DyK45k1+yYIWgexopkgXVLA9O+PaN7hlhoGiefEo70HEgdwUJikU/BU/acH94fvAqqiB8IU9/MA/UEI3PMjDlLYcx3l/fZMqNzwf3B6OMPM1EcpDaJFfKC+Pyn/kz39JtzekSv3UWaLLAH4lIRwEo7w8/ipHRWqH8y+lhW6SvLxfmbjvvsjLhuzhyxy9LmVtBbLPncNH75rDcoAwO8ev99P6I9D7squPyV/0jj5gDpkDl9MHfIEt1r/Zv5tDJ5gfj5v308fkAcekJI7/Ou7rL33o76kTDpR40Gz0l0Az8ffX8RyKQJ92OHL48fRnn5c+F1Ttg4fDB0haH8T38ev9tP4cITtnX7I57urT//Y6/A94tg7oI4Lj7uGoSeNjjsjm/bR4YoE5KhudPB49bI+//D3dfWymiREjRowYMWLEiBEjRowYMWLEiBEjRowYMWLEiBEjRowYMWLEiBEjRowYMWLEiBEjRowYMWLEiP+PEQT/B9SVfDR07eboAAAAAElFTkSuQmCC)
By completing scatter plots for each of the following data sets, describe the correlation between x and y as positive, negative or none.
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)
Maths-General
Maths-
Which number is next in the sequence? 35, 85, 135, 185, __
Which number is next in the sequence? 35, 85, 135, 185, __
Maths-General
Maths-
Consider this simple bivariate data set
a)Draw a scatter plot for the data
b)Describe the correlation between x and y as positive or negative.
c)Describe the correlation between x and y as strong or weak.
d)Identify any outliers.
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)
Consider this simple bivariate data set
a)Draw a scatter plot for the data
b)Describe the correlation between x and y as positive or negative.
c)Describe the correlation between x and y as strong or weak.
d)Identify any outliers.
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)
Maths-General