Question
A multiple linear regression model based on a sample of 17 weeks is developed to predict...
A multiple linear regression model based on a sample of 17 weeks is developed to predict standby hours based on the total staff present and remote hours. The SSR is 20,905.02 and the SSE is 25,434.29. (use 0.05 level of significance)
H0: B1 = B2 = 0
H1: At least one Bj does not equal 0, j = 1, 2
1. Calculate the test statistic.
Fstat= _____
2. Find the p-value.
p-value= _____
3. Compute the coefficient of multiple determination, r2, and interpret its meaning.
4. Compute the adjusted r2.
Homework Answers
Answer #1
we have
| ANOVA | |||||
| df | SS | MS | F | p value | |
| Regression | 2 | 20905.02 | 10452.51 | 5.753459 | 0.01501 |
| Residual | 14 | 25434.29 | 1816.735 | ||
| Total | 16 | 46339.31 | |||
H0: B1 = B2 = 0
H1: At least one Bj does not equal 0, j = 1, 2
1. Calculate the test statistic.
Fstat= 5.7535
2. Find the p-value.
p-value= 0.01501
3. the coefficient of multiple determination, r2, =SSr/SST =20905.02/46339.31 =0.4511
about 45.11% variation in standby hours can be explained by the total staff present and remote hours
4. the adjusted r2. =
= 0.3727
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