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Given are five observations for two variables, a andy. x47 12 15 20 i57 59 45 18

ID: 3315802 • Letter: G

Question

Given are five observations for two variables, a andy. x47 12 15 20 i57 59 45 18 11 The estimated regression equation for these data is y = 76.35-331z. a. Compute SSE, SST, and SSR SSE SST SSR b. Compute the coefficient of determination 2. Comment on the goodness of fit. (to 2 decimals) (to 2 decimals) (to 2 decimals) (to 3 decimals) The least squares line provided an/-select your answer- fit; % of the variability in y has been explained by the estimated regression equation (to 1 decimal) c. Compute the sample correlation coefficient. Enter negative value as negative number to 3 decimals)

Explanation / Answer

Solution

Using excel,

(a) SSE i.e sum of squared errors of prediction = 1762.34

SST (total) = 1980

SSR = 1980-1762.34 = 217.66

(b) coefficident of determination = 0.890

89% of variability is explained

(c) correlation = -0.943

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