In: Statistics and Probability
The estimated regression equation for a model involving two independent variables and 10 observations follows. Here SST = 6,724.125, SSE = 507.75, sb1= 0.0813, and sb2= 0.0567.
= 29.1270 + 0.5906x1 + 0.4980x2
a. Interpret the regression coefficients in this estimated regression equation.
b. Compute MSE.
c. Use the F test to determine the overall significance of the relationship among the variables. Use α = 0.05.
d. Perform a t test for the significance of x1. Use a 0.05 level of significance.
e. Perform a t test for the significance of x2. Use a 0.05 level of significance.
f. Construct a 95% confidence interval for the coefficient of x2.