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In: Statistics and Probability

#2) Use computer software packages, such as Excel, to solve this problem. Consider the following data...

#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?

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