Question

On the first statistics exam, the coefficient of determination between the hours studied and the grade eamed was 60%. The standard error of estimate was 19. There were 22 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.) DF SS MS Source Regression Error Total

Answer 1

SEE = Standard Error of Estimate = 19

n = 22 students

r^2 = 60% or 0.60

Calculation of SSE using SEE :-

SSE = (SEE)^2 * (n-2)

SSE = (19)^2 * (22-2)

SSE = 361 * 20

SSE = 7220

Calculation of SST :-

SST = SSE / (1-(r^2))

SST = 7220 / (1-0.60)

SST = 7220 / 0.40

SST = 18050

SSR = SST-SSE

SSR = 18050 - 7220

SSR = 10830

Sourace	DF (a)	SS (b)	MS (b/a)
Regression	1	10830	10830
Error	20	7220	361
Total	21	18050