   Chapter 7.7, Problem 14E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Finding the Least Squares Regression Line In Exercises 9-14, use the regression capabilities of a graphing utility or a spreadsheet to find the least squares regression line for the given points.(0, -2), (5, - 15), (-4, 9), (- 1, 1), (2, -9), (1, -5)

To determine

To calculate: The least square regression line for the points: (0,2),(5,15),(4,9),(1,1),(2,9),(1,5).

Explanation

Given Information:

The provided points are (0,2),(5,15),(4,9),(1,1),(2,9),(1,5).

Formula used:

The least square regression line for the points:

(x1,y1),(x2,y2),...(x3,y3) is f(x)=ax+b

Where n is the number of points.

a=ni=1nxiyii=1nxii=1nyini=1nxi2(i=1nxi)2

And,

b=1n(i=1nyiai=1nxi)

And here,

i=1nxiyi=x1y1+x2y2+x3y3........+xnyn,i=1nyi=y1+y2+y3.........+yn,i=1nxi=x1+x2+x3.........+xn,i=1nxi2=x12+x22+..........+xn2

Calculation:

Consider the points (0,2),(5,15),(4,9),(1,1),(2,9),(1,5),

Put the points in the formula for obtaining the value of a and b and then use them in the formation of regression line

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