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=1.5
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 x when y = 3.5, y = 0, y = 5.5, y = 1.5.
The correct answer is:
Step 1 of 4:
The coordinate points for the given table are:
(1,1),(2,2),(3,2),(4,3),(5,4),(6,4),(7,5).
The scatter plot based on the points is:
![](data:image/png;base64,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)
Step 2 of 4:
Here, the variables x and y increases and decrease together. Even though, the change is not linear,
they increase and decrease steadily.
Hence, the scatter plot has a positive correlation.
Step 3 of 4:
The trend line based on the scatter plot is:
![](data:image/png;base64,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)
Step 4 of 4:
The values of x when y = 3.5, y = 0, y = 1.5 and y = 5.5 are:
X = 5, x = 0, x = 2, x = 7.5
That is, the points are: (0, 0), (2,1.5), (5,3.5), (7.5,5.5).
![](data:image/png;base64,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)
We might not get the accurate values by analyzing the trend lines. Since, it approximates the pattern of the set of values.
Related Questions to study
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,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)
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,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)
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,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)
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
Maths-
Calculate the time required for the principal to triple itself at the rate of 15% per annum simple interest.
Calculate the time required for the principal to triple itself at the rate of 15% per annum simple interest.
Maths-General
General
Complete the sentences with the plural form of the word in brackets.
Complete the sentences with the plural form of the word in brackets.
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.
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)
We could possible draw numerous trends for a line. But the main purpose is to describe the pattern of the values from the line. So, it is necessary to choose the best fit for the set of values.
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
We could possible draw numerous trends for a line. But the main purpose is to describe the pattern of the values from the line. So, it is necessary to choose the best fit for the set of values.
Maths-
Show the conjecture is false by finding a counterexample. Two supplementary angles form a linear pair
Show the conjecture is false by finding a counterexample. Two supplementary angles form a linear pair
Maths-General
General
Identify Text Structure.
Sharks and orcas hare a lot in common. Both of these sea animals are carnivores (meat-eaters) that hurt for their food. Like sharks, orcas have smooth bodies that can speed through the water, and lots of sharp teeth. But these is are major difference sharks are wish, while orcas are mammals! Like most fish, sharks by lay eggs: But orca babies are born live and drink milk from their mothers. Another difference is that orcas have Sony skeletons, but sharks have no bones at all-only casttly.
Identify Text Structure.
Sharks and orcas hare a lot in common. Both of these sea animals are carnivores (meat-eaters) that hurt for their food. Like sharks, orcas have smooth bodies that can speed through the water, and lots of sharp teeth. But these is are major difference sharks are wish, while orcas are mammals! Like most fish, sharks by lay eggs: But orca babies are born live and drink milk from their mothers. Another difference is that orcas have Sony skeletons, but sharks have no bones at all-only casttly.
GeneralGeneral
Maths-
Consider this simple bivariate data set. Draw a scatter plot for the data.
a)Describe the correlation between x and y as positive or negative .
b)Describe the correlation between x and y as strong or weak.
c)Identify any outliers.
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)
Consider this simple bivariate data set. Draw a scatter plot for the data.
a)Describe the correlation between x and y as positive or negative .
b)Describe the correlation between x and y as strong or weak.
c)Identify any outliers.
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)
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
Maths-
At what percent of simple interest will the sum of money amount to 5/3 of itself in 6 years 8 months?
At what percent of simple interest will the sum of money amount to 5/3 of itself in 6 years 8 months?
Maths-General