Question

On the first statistics exam, the coefficient of determination between the hours studied and the grade earned was 88%. The standard error of estimate was 16, There were 26 students in the class. Develop an ANOVA table for the regression analysis of hours studied as a predictor of the grade earned on the first statistics exam. (Round your decimal answers to 2 places.) MS Source Regression Error Total DF

Answer 1

(a) The values of the coefficient of determination is R2 0.88 The standard error of the estimate is s, 16 The sample size is n= 26 The formula for calculating the standar d error of the estim ate s, is SSE SSE 26-2 2 SSHE >(16 26-2 SSE 24 256 SSE 24 (256) SSE 6144 SSE-6144

[b) The coefficient of determination is R2 SSR SSE SSR 6144 SSR-6144(0.88) → SSR = 5406.72 →SSR-5406.72 The formula for calculating the value of SST = SSR + SSE 5406.72+6144 11550.72 SST-11550.72

(c) The ANOV A table of the simple linear regression: Source ession kSSR MSR MSR Resi dual Error n- 2 SSE MSEMSE N-1 SST Total Source eDF Regression15406.72 5406.72 21.12 Residual Error24 6144 256 Total 2511550.72