The estimated regression equation for a model involving two independent variables and 10 observations follows. Here SST = 6,724.125, SSE = 507.75, sb 1= 0.0813, and sb 2= 0.0567. y ^ = 29.1270 + 0.5906x1 + 0.4980x2
a. Interpret the regression coefficients in this estimated regression equation
-A one-unit increase in x1 will lead to a 0.5906 unit increase in y . A one-unit increase in x2 will lead to a 0.498 unit increase in y.
b. Predict y when x1 = 180 and x2 = 310
-289.82
c. Find SSR
-6,216.375
d. Compute R2
-0.924
e. Compute
f. Compute MSR
g. Compute MSE
h. Use the F test to determine the overall significance of the relationship among the variables. Use α = 0.05.
i. Perform a t test for the significance of x1. Use a 0.05 level of significance.
j. Perform a t test for the significance of x2. Use a 0.05 level of significance.
k. Construct a 95% confidence interval for the coefficient of x2.