The following is the estimation results for a multiple linear regression model:
$$Y = \beta_0 + \beta_1X_1 + \beta_2X_2 + \epsilon$$
SUMMARY OUTPUT
Regression Statistics
R-Square 0.799
Regression Standard Error (S) 437.292
Observations 53
| | Coeff. | Std. Error | t-Stat |
|-------------|---------|------------|--------|
| Intercept | 728.519 | 201.337 | 3.618 |
| Slope of X1 | 20.188 | 5.058 | 3.991 |
| Slope of X2 | 1.519 | 0.572 | 2.656 |
Questions:
1. Write the estimated intercept and slopes, associated with their corresponding standard errors (Keep three decimals for the estimated coefficients; 30 points).
2. Write the fitted regression equation (Keep three decimals for the estimated coefficients; 30 points).
3. Interpret and analyze the estimated results of each coefficient (40 points).
