The following estimated regression equation based on 10observations was presented.
Å· = 27.1570 + 0.5107x1 +0.4940x2
Here, SST = 6,722.125, SSR = 6,223.375,
sb1 =0.0811,
and
sb2 =0.0569.
(a)
Compute MSR and MSE. (Round your answers to three decimalplaces.)
MSR=MSE=
(b)
Compute F and perform the appropriate F test.Use α = 0.05.
State the null and alternative hypotheses.
| H0: β1 >β2 |
| Ha: β1 ≤β2 |
| H0: β1 =β2 = 0 |
| Ha: One or more of the parameters isnot equal to zero. |
   Â
| H0: β1 ≠0 andβ2 = 0 |
| Ha: β1 = 0 andβ2 ≠0 |
| H0: β1 ≠0 andβ2 ≠0 |
| Ha: One or more of the parameters isequal to zero. |
| H0: β1 <β2 |
| Ha: β1 ≥β2 |
Find the value of the test statistic. (Round your answer to twodecimal places.)
F =
Find the p-value. (Round your answer to three decimalplaces.)
p-value =
State your conclusion.
Reject H0. There is sufficient evidence toconclude that the overall model is significant.Do not rejectH0. There is sufficient evidence to concludethat the overall model issignificant.    Reject H0.There is insufficient evidence to conclude that the overall modelis significant.Do not reject H0. There isinsufficient evidence to conclude that the overall model issignificant.
(c)
Perform a t test for the significance of
β1.
Use α = 0.05.
State the null and alternative hypotheses.
   Â
Find the value of the test statistic. (Round your answer to twodecimal places.)
t =
Find the p-value. (Round your answer to three decimalplaces.)
p-value =
State your conclusion.
Reject H0. There is insufficient evidence toconclude that β1 is significant.Do not rejectH0. There is sufficient evidence to concludethat β1 issignificant.    Do not rejectH0. There is insufficient evidence to concludethat β1 is significant.RejectH0. There is sufficient evidence to concludethat β1 is significant.
(d)
Perform a t test for the significance of
β2.
Use α = 0.05.
State the null and alternative hypotheses.
   Â
Find the value of the test statistic. (Round your answer to twodecimal places.)
t =
Find the p-value. (Round your answer to three decimalplaces.)
p-value =
State your conclusion.
Reject H0. There is insufficient evidence toconclude that β2 is significant.RejectH0. There is sufficient evidence to concludethat β2 issignificant.    Do not rejectH0. There is insufficient evidence to concludethat β2 is significant.Do not rejectH0. There is sufficient evidence to concludethat β2 is significant.
