Question

Consider the following data for a dependent variable y and two independent variables, 21 and 22; for these data SST = 14,897.6, and SSR = 13,754.5. 109 113 Round your answers to three decimal places. a. Compute RⓇ b. Compute R2 c. Does the estimated regression equation explain a large amount of the variability in the data? - Select your answer -

Answer 1

a) R²² I- SSE SST SST - SSE SST SSR SST 13754.5 148 97.6 - 0.92327 7 0.923 1- (1-R2) (N-1) b) R2 = N-p-1 po no. of predictors N = total sample size . R² = 1 (1-0.92 327) (101) 1o-2 -1

R= 0.901347 R²a = 0.901 c) yes, since R²=0.923 in data => 92.3 % of variability to is explained by the model