Problem 1. The following is the estimation results for a multiple linear regression model:

SUMMARY OUTPUT

Regression Statistics

R-Square 0.612

Standard Error of Regression (S) 793.253

Observations 41

Coeff StdError t-Stat

Intercept 1097.000 326.000 3.370

X1 23.387 7.393

X2 0.909 0.319

Questions:

1. Use the fitted model to make a prediction for Y when X1 = 0.17 and X2 = 0.88 (5 points).

2. Calculate the t-stat for the slope(5 points).

3. Calculate the 95% confidence interval for the slope (10 points).

4. Are these two slopes statistically significant at 5% significance level (10 points)?