Hint(s) Check My WorkGiven are five observations for two variables, x and y.38131820Yi5758461714The estimated regression equation for these data is ŷ = 73.73 – 2.85x.a. Compute SSE, SST, and SSR.SSE(to 2 decimals)SST(to 2 decimals)SSR(to 2 decimals)b. Compute the coefficient of determination r. Comment on the goodness of fit.(to 3 decimals)The least squares line provided an goodfit;% of the variability in y has been explained by the estimated regression equation (to1 decimal).c. Compute the sample correlation coefficient. Enter negative value as negative number.(to 3 decimals)

the formula for SST =Syy =∑(y-y)2 SSE=∑(y-y)2-[∑(x-x)(y-y)]2∑(x-x)2=Syy-(Sxx)2Sxx SSR =(Sxy)2Sxx

Given are five observations for two variables, x and y. 3 8 13 18 20 Yi 57 58 46 17 14 The estimated regression equation for these data is ŷ = 73.73 – 2.85x. a. Compute SSE, SST, and SSR. SSE (to 2 decimals) SST (to 2 decimals) SSR (to 2 decimals) o. Compute the coefficient of determination r². Comment on the goodness of fit. (to 3 decimals) The least squares line provided an good fit; % of the variability in y has been explained by the estimated regression equation (to 1 decimal). :. Compute the sample correlation coefficient. Enter negative value as negative number. (to 3 decimals)

Given are five observations for two variables, x and y. 3 8 13 18 20 Yi 57 58 46 17 14 The estimated regression equation for these data is ŷ = 73.73 – 2.85x. a. Compute SSE, SST, and SSR. SSE (to 2 decimals) SST (to 2 decimals) SSR (to 2 decimals) o. Compute the coefficient of determination r². Comment on the goodness of fit. (to 3 decimals) The least squares line provided an good fit; % of the variability in y has been explained by the estimated regression equation (to 1 decimal). :. Compute the sample correlation coefficient. Enter negative value as negative number. (to 3 decimals)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 2ECP

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