Consider this output from a simple linear regression model: ANOVA df SS MS F Reg
ID: 3176656 • Letter: C
Question
Consider this output from a simple linear regression model:
ANOVA
df
SS
MS
F
Regression
1.000
4935.564
4935.564
?????
Error
11.000
?????
263.760
Total
?????
7836.923
Coefficients
Standard Error
t Stat
P-value
Constant
?????
10.863
0.673
0.515
x
8.297
1.918
?????
0.001
Provide the numerical value for the quantities below (round off all your answer to three decimal digits)
The regression is significant and the predictor is a good predictor at alpha 0.05 (p-value = )
the F-test for the significance of the regression is equal to
Beta0 is equal to
the T-test for Beta1 is equal to
SSE is equal to
the number of observations collected for the study is equal to
the rejection region for the significance of the predictor at alpha 0.01 is equal to
ANOVA
df
SS
MS
F
Regression
1.000
4935.564
4935.564
?????
Error
11.000
?????
263.760
Total
?????
7836.923
Coefficients
Standard Error
t Stat
P-value
Constant
?????
10.863
0.673
0.515
x
8.297
1.918
?????
0.001
Explanation / Answer
a) SInce F cal=18.71
P value =0.000 > 0.05 we reject the H0. Hence claim is significant
b)
ANOVA df SS MS F Regression 1 4935.6 4935.564 18.7123294 Error 11 2901.4 263.76 Total 12 7836.9 Coefficients Standard Error t Stat P-value Constant 7.3108 10.863 0.673 0.515 x 8.297 1.918 4.32586027 0.001