Exercise 15.19 Algo (Testing for Significance)
The following estimated regression equation is based on 10 observations was presented.
$\hat{y} = 29.1270 + 0.5906x_1 + 0.4980x_2$
Here SST = 6,839.500, SSR = 6,191.375, $s_{b_1} = 0.0824$, and $s_{b_2} = 0.0512$.
a. Compute MSR and MSE (to 3 decimals).
MSR =
MSE =
b. Compute $F$ and perform the appropriate $F$ test (to 2 decimals). Use $\alpha = 0.05$. Use the $F$ table.
$F$=
The p-value is - Select your answer -
At $\alpha = 0.05$, the overall model is - Select your answer -
c. Perform a t test for the significance of $\beta_1$ (to 2 decimals). Use $\alpha = 0.05$. Use the t table.
$t_1$=
The p-value is - Select your answer -
At $\alpha = 0.05$, there is - Select your answer - relationship between y and $x_1$.
d. Perform a t test for the significance of $\beta_2$ (to 2 decimals). Use $\alpha = 0.05$. Use the t table.
$t_2$=
The p-value is - Select your answer -
At $\alpha = 0.05$, there is - Select your answer - relationship between y and $x_2$.