Homework 6 Cotrelation and Regression Page l of 15 and Regressi Page 7 of 15 7.
ID: 3356322 • Letter: H
Question
Homework 6 Cotrelation and Regression Page l of 15 and Regressi Page 7 of 15 7. -12 points Fit the data with the least square regression line with Life span as t Calculate the residual if the Gestation is 8 and round your answer to the nearest whole number the dependent vanable Gestation Life Span 3D 2.1 12 1.3 11.5 25 5.3 12 3.8 10 40 24.3 O -12 0 13 o 11 O -13 O12017 btps:/www.webassign.net/weh Student Assignmenm-Responssedp-16820498 ently are prepunig te this year's progrea in their music close, ip it ipate in the upcoming concerts They are learming aboul the instrumant and how the instruments work topether in a eoncert serting. TenoouageExplanation / Answer
calculation procedure for regression
mean of X = X / n = 7.1625
mean of Y = Y / n = 17.25
(Xi - Mean)^2 = 426
(Yi - Mean)^2 = 1177.8
(Xi-Mean)*(Yi-Mean) = 648.8
b1 = (Xi-Mean)*(Yi-Mean) / (Xi - Mean)^2
= 648.8 / 426
= 1.5
bo = Y / n - b1 * X / n
bo = 17.25 - 1.5*7.1625 = 6.3
value of regression equation is, Y = bo + b1 X
Y'=6.3+1.5* X
when gestation is 8 then Y'=6.3+1.5* X
= 6.3 + 1.5*8
= 18.3 = 18
Line of Regression Y on X i.e Y = bo + b1 X X Y (Xi - Mean)^2 (Yi - Mean)^2 (Xi-Mean)*(Yi-Mean) 8 30 0.7 162.6 10.7 2.1 12 25.6 27.6 26.6 1.3 6 34.4 126.6 66 1 3 38 203.1 87.8 11.5 25 18.8 60.1 33.6 5.3 12 3.5 27.6 9.8 3.8 10 11.3 52.6 24.4 24.3 40 293.7 517.6 389.9Related Questions
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