Question

The following regression equation was computed from a sample of 25 observations: Y' = 26-6x SSE was found to be 130, and SS total 420. (Round the MS-values to 3 decimal places.) di Source Regression Error 51.31 Total a. Determine the standard error of estimate. (Round the final answer to 4 decimal places.) se = 0 5. Determine the coefficient of determination. (Round the final answer to 2 decimal places.) 2 = . Determine the correlation coefficient. (Caution: Watch the sign!) (Negative answer should be indicated by a minus sign. Round the final answer to 3 decimal places.) = negative. The sign of ris (Click to select) because the sign of bis

Answer 1

n=25

Source	ss	df	MS	F
Regression	290	1	290	51.31
Error	130	23	5.65
Total	420	24

a) standard error of estimate =
SSE Vdf
=
130
= 2.3774

se= 2.3774

b) Determine coefficient of determination = R² =

SSE 1- SST

R² = 0.69

c) determine coefficient of correlation = negative square root of r ( since slope of regression line is negative)

r = - 0.831

The sign of r is Negative because the sign of b is negative