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Mozilla Hirefox Do Homework- Maria Phelps- https://www.mathxl.com/Student/Player

ID: 3320871 • Letter: M

Question

Mozilla Hirefox Do Homework- Maria Phelps- https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkld 456 MAT-240-T28 Homework: 6-2 MyStatLab: Module Score: 0 of 5 pts (X) 4.2.11 7 of 14 (14 c For the data set below (a) Determine the least-squares regression line. (b) Compute the sum of the squared residuals for the least-squares regression line. 30 40 50.60 70 y8083 58 55 33 (a) Determine the least-squares regression line. y=[]x +[ (Round to four decimal places as needed.) Enter your answer in the edit fields and then alick Check Answer 1 F javascript doExercise(7 part romaining dtiestion 14 (0.8375)

Explanation / Answer

4.2.11

a.

calculation procedure for regression

mean of X = X / n = 50

mean of Y = Y / n = 61.8

(Xi - Mean)^2 = 1000

(Yi - Mean)^2 = 1670.8

(Xi-Mean)*(Yi-Mean) = -1220

b1 = (Xi-Mean)*(Yi-Mean) / (Xi - Mean)^2

= -1220 / 1000

= -1.22

bo = Y / n - b1 * X / n

bo = 61.8 - -1.22*50 = 122.8

value of regression equation is, Y = bo + b1 X

Y'=122.8-1.22* X

Y' =122.8000 -1.2200*X

Line of Regression Y on X i.e Y = bo + b1 X X Y (Xi - Mean)^2 (Yi - Mean)^2 (Xi-Mean)*(Yi-Mean) 30 80 400 331.24 -364 40 83 100 449.44 -212 50 58 0 14.44 0 60 55 100 46.24 -68 70 33 400 829.44 -576
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