Question
Determine whether a linear , quadratic or exponential function best models the data . Then use regression to find the function that models the data ?
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)
Hint:
1. When the difference between 2 consecutive output values (y values) for a given constant change in the input values (x values) is constant. i.e. y(n)- y(n-1) is constant for any value of n, the function is known as a linear function.
2. Regression is a statistical tool used to find a model that can represent the relation between a given change in dependant variable (output values/ y values) for a given change in independent variable (input values/ x values).
Linear Equation using regression can be represented as-
Y = a + bX, where-
a =![fraction numerator left square bracket left parenthesis Σy right parenthesis left parenthesis Σx squared right parenthesis space minus space left parenthesis Σx right parenthesis space left parenthesis Σxy right parenthesis right square bracket over denominator left square bracket straight n left parenthesis Σx squared right parenthesis space minus space left parenthesis Σx right parenthesis squared right square bracket end fraction](data:image/png;base64,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)
b=![fraction numerator space left square bracket straight n left parenthesis Σxy right parenthesis space minus space left parenthesis Σx right parenthesis space left parenthesis Σy right parenthesis right square bracket over denominator left square bracket straight n left parenthesis Σx squared right parenthesis space minus space left parenthesis Σx right parenthesis squared right square bracket end fraction](data:image/png;base64,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)
The correct answer is: The given function is a linear function and using Regression, the given function can be modelled into the equation- Y = 100.02 - 10.55X.
Step-by-step solution:-
From the given table, we observe the following readings-
x1 = 0, y1 = 100;
x2 = 1, y2 = 89.5;
x3 = 2, y3 = 78.9;
x4 = 3, y4 = 68.4;
x5 = 4, y5 = 57.8
a). Difference between 2 consecutive x values-
dx1 = x2 - x1 = 1 - 0 = 1
dx2 = x3 - x2 = 2 - 1 = 1
dx3 = x4 - x3 = 3 - 2 = 1
dx4 = x5 - x4 = 4 - 3 = 1
Difference between 2 consecutive y values-
dy1 = y2 - y1 = 89.5 - 100 = -10.5
dy2 = y3 - y2 = 78.9 - 89.5 = -10.6
dy3 = y4 - y3 = 68.4 - 78.9 = -10.5
dy4 = y5 - y4 = 57.8 - 68.4 = -10.6
We observe that the difference for every consecutive x values is constant i.e. 1 and for y values the difference is almost constant i.e. -10.5.
Hence, the given function is a linear function.
Using Linear Regression formula-
Y = a + bX, where-
a =![fraction numerator left square bracket left parenthesis Σy right parenthesis left parenthesis Σx squared right parenthesis space minus space left parenthesis Σx right parenthesis space left parenthesis Σxy right parenthesis right square bracket over denominator space left square bracket straight n left parenthesis Σx squared right parenthesis space minus space left parenthesis Σx right parenthesis squared right square bracket end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALUAAAAsCAYAAAAjOvkiAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAABAVJREFUeNrtXDFrFUEQXlJIKiGIhYgIImIhISBBRIIIktomBJEgIRBEgoW9hdiEFOIfEBE7sZIQhGAhIdiItQjBSsRWLMIhxF2cg2Pdvdub3Zl7yfs+GAh7Lzfz7X53Nzv33hgz3jggq6ztWjtvAOCIYMLafWufMRXjCbf46wXPt07n1PLXhv0ecR3GueZy01wDo70G09Y+Cpx3l86t5S+E69Y+JMalAWnuqdw01yAnzuRc8yDgYCbwmZil4rK1nQghCX8+TpGvc4lxaS2mJPdUblpr0CdOlr/Qh2eIYI3b9LnFQsHvEAEtfzUuWNskYafEpQEt7l3ctOLgxpkt6g1ra97YIlUO5gsE/sDL26T91XfoLWvHe8SlAQ3uKdy04uDGmS3qd9bmAuML1n5Zmw0cm7L2LVJt+G7tRGPsqrX3mf4cJikHPO2Nn7T2iY7XcIK+2DEXflwa0OCewk0yjhxtFBO1I3Es8vlb1n4GclKH7QD5m9beemPHyEeuP4dLJNgmNgN3l5Sc0I9LAxrcU7hJx8HVRjFR/+n4n9XILnkl8Oh4SfmZj6qAvxprjXLQXWuvMkRWKYtak3s1YBxcbaiIeoquyjORY3veVfc7cgeoCvhr4rX5V6rb8x5nUqIuVR3Q5F4NGAdXG+Lphxt7Q1WEGLYbZSF3xb5IeBTm+KsxR5OxmiHoUUo/SnPnph8l4+Boo5ionfNrgXEXRFdx3D1mnjTOM5+wIcvxV284XCnoDuVyXAyxUdTi3sVNIw6ONkRLek+tXUk4n3vMfKES2o+W/GujkD+Hx9aW6e8la8+YAvPjGqqkJ8G9i5tGHBxtFBO1X4h/FCn3tF31z1smuOvlSx9/s5TL+YuxxBDYKLx8keLe9+WLVBx9tVFM1IZ2utPMTdEKjYVqm7FXthx/kzRJU4HzbdGjLBVDviaX5p7KTWMNONooJuqcL7e4q/5r5NgofKGpT1waGKcvNHG00VvU+w3zcc/wXhs/pMdXKG9r26Fz/ZXIa1fNsJDi3peb9Br01UabPtV39PhlCQBtAAAAAF7SDYMdZgMAAAAAAAAAAFDfRKOTE+bjyAGdnDAfqkAnp/JI5bYP+ZUHOjnJoYtbaD4Ak19ARycnOe5t3GLzgRcimeTRyUmee4hb13wYiJoPdHKS5R7iljIfEHXLmOsGtEebEZe7+T/JRycnWe4hbinzAVFHxhbobnSWxpYDmxJ0cpLlHuKWmqtD1IGxG97YhPm/qQk6OelwrwqtK9KPhHF0ctLhDlErihqdnOS5c7lB1ExRo5OTPHcuN4iaKWp0cpLnzuUGUTNFjU5O8ty53CBqpqiNQSenUejkBFEXJo9OTqPJbaxFXaLjDjo5jQ63QTso/QU6Qi6CFVJuaAAAAk50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1yb3c+PG1vPls8L21vPjxtbz4oPC9tbz48bWk+JiN4M0EzO3k8L21pPjxtbz4pPC9tbz48bW8+KDwvbW8+PG1zdXA+PG1pPiYjeDNBMzt4PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4pPC9tbz48bW8+JiN4QTA7PC9tbz48bW8+LTwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPig8L21vPjxtaT4mI3gzQTM7eDwvbWk+PG1vPik8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4oPC9tbz48bWk+JiN4M0EzO3h5PC9taT48bW8+KTwvbW8+PG1vPl08L21vPjwvbXJvdz48bXJvdz48bW8+JiN4QTA7PC9tbz48bW8+WzwvbW8+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPm48L21pPjxtbz4oPC9tbz48bXN1cD48bWk+JiN4M0EzO3g8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPik8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4tPC9tbz48bW8+JiN4QTA7PC9tbz48bXN1cD48bXJvdz48bW8+KDwvbW8+PG1pPiYjeDNBMzt4PC9taT48bW8+KTwvbW8+PC9tcm93Pjxtbj4yPC9tbj48L21zdXA+PG1vPl08L21vPjwvbXJvdz48L21mcmFjPjwvbWF0aD7yr+AiAAAAAElFTkSuQmCC)
∴ a = [
.......................... (As per adjacent table)
∴ a =
∴ a = ![fraction numerator 5 comma 001 over denominator 50 end fraction](data:image/png;base64,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)
∴ a = 100.02
b = ![fraction numerator left square bracket straight n left parenthesis Σxy right parenthesis space minus space left parenthesis Σx right parenthesis space left parenthesis Σy right parenthesis right square bracket over denominator left square bracket straight n left parenthesis Σx squared right parenthesis space minus space left parenthesis Σx right parenthesis squared right square bracket end fraction](data:image/png;base64,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)
∴ b = ![fraction numerator space left square bracket 5 left parenthesis 683.7 right parenthesis space minus space left parenthesis 10 right parenthesis left parenthesis 394.6 right parenthesis right square bracket over denominator left square bracket 5 left parenthesis 30 right parenthesis space minus space left parenthesis 10 right parenthesis squared right square bracket end fraction](data:image/png;base64,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)
∴ b = ![fraction numerator left parenthesis 3 comma 418.5 space minus space 3 comma 946 right parenthesis over denominator left parenthesis 150 space minus space 100 right parenthesis end fraction](data:image/png;base64,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)
∴ b =
∴ b = -10.55
∴ The Linear Equation is-
Y = a + bX
∴ Y = 100.02 + (-10.55)X
∴ Y = 100.02 - 10.55X
Final Answer:-
∴ The given function is a linear function and using Regression, the given function can be modelled into the equation- Y = 100.02 - 10.55X.
x2 = 1, y2 = 89.5;
x3 = 2, y3 = 78.9;
x4 = 3, y4 = 68.4;
x5 = 4, y5 = 57.8
a). Difference between 2 consecutive x values-
dx1 = x2 - x1 = 1 - 0 = 1
dx2 = x3 - x2 = 2 - 1 = 1
dx3 = x4 - x3 = 3 - 2 = 1
dx4 = x5 - x4 = 4 - 3 = 1
Difference between 2 consecutive y values-
dy1 = y2 - y1 = 89.5 - 100 = -10.5
dy2 = y3 - y2 = 78.9 - 89.5 = -10.6
dy3 = y4 - y3 = 68.4 - 78.9 = -10.5
dy4 = y5 - y4 = 57.8 - 68.4 = -10.6
We observe that the difference for every consecutive x values is constant i.e. 1 and for y values the difference is almost constant i.e. -10.5.
Hence, the given function is a linear function.
Using Linear Regression formula-
Y = a + bX, where-
a =
∴ a = [
∴ a =
∴ a =
∴ a = 100.02
b =
∴ b =
∴ b =
∴ b =
∴ b = -10.55
∴ The Linear Equation is-
Y = a + bX
∴ Y = 100.02 + (-10.55)X
∴ Y = 100.02 - 10.55X
Final Answer:-
∴ The given function is a linear function and using Regression, the given function can be modelled into the equation- Y = 100.02 - 10.55X.