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?