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Using 20 observations, the multiple regression model y = β0 + β1x1 + β2x2 + ε was estimated. A portion of the regression results is as follows:     df SS

Using 20 observations, the multiple regression model y = β0 + β1x1 + β2x2 + ε was estimated. A portion of the regression results is as follows:     df SS

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Using 20 observations, the multiple regression model y = β0 + β1x1 + β2x2 + ε was estimated. A portion of the regression results is as follows:
 

 

df

SS

MS

F

Significance F

Regression

2

2.12E+12

1.06E+12

56.556

3.07E-08

Residual

17

3.19E+11

1.88E+10

 

 

Total

19

2.44E+12

 

 

 
 

 

Coefficients

Standard Error

t Stat

p-Value

Lower 95%

Upper 95%

Intercept

−987,557

131,583

−7.505

0.000

−1,265,173

−709,941

x1

29,233

32,653

0.895

0.383

−39,660

98,125

x2

30,283

32,645

0.928

0.367

−38,592

99,158
 

 

Answer the following questions based on the model results:

  1. At the 5% significance level, are the predictor variables jointly significant?

 

  1. At the 5% significance level, evaluate each of the independent or predictor variables.

 

  1. Think about the five common problems with regression models, what is most likely wrong with this model?

 

 

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