In: Statistics and Probability
#2) Use computer software packages, such as Excel, to solve this
problem.
Consider the following data for a dependent variable y and two
independent variables, x1 and x2.
| 
 x1  | 
 x2  | 
 y  | 
| 
 30  | 
 12  | 
 95  | 
| 
 46  | 
 11  | 
 108  | 
| 
 24  | 
 18  | 
 113  | 
| 
 51  | 
 16  | 
 178  | 
| 
 40  | 
 6  | 
 94  | 
| 
 52  | 
 19  | 
 175  | 
| 
 74  | 
 8  | 
 170  | 
| 
 36  | 
 12  | 
 117  | 
| 
 60  | 
 14  | 
 142  | 
| 
 77  | 
 17  | 
 211  | 
a) If you ran a multiple regression model using both independent variable what would the p-value of the overall model be? Round to 3 decimals. Is the overall model significant at the ? = 0.01 level?
b) What percent of the variation in y is explained by the model? Round to the nearest percent.
c) If you ran a multiple regression model using both independent variable what would the individual p-value of x1 be? Round to 3 decimals. Is x1 significantly adding to the overall model at the ? = 0.01 level?
d) If you ran a multiple regression model using both independent variable what would the individual p-value of x2 be? Round to 3 decimals. Is x2 significantly adding to the overall model at the ? = 0.01 level?