Below is a computer output based on a sample of 506 observations with a few spots left blank

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Below is a computer output based on a sample of 506 observations with a few spots left blank.

                                Coefficient          Standard Error   t-stat     p-value

Constant              -21.873                 3.178                     -6.883    1.76e-11                              

X1                                          -0.099                    0.015                                     1.17e-10

X2                            -0.480                    0.200                     -2.399    0.0168

X3                            8.440                     0.410                     20.653   2e-16

ANOVA

Source of Variation         DF           Sum of Squares                Mean Square     F              p-value

Regression                          3              22878.8                                 193         2.2e-16

Error                                      502         19837.5 39.5

 

  1. What is the estimated regression equation?
  2. What is the interpretation of the coefficient of X1?
  3. What is the test statistic for whether β1 is significant (calculate)?
  4. Is the parameter β1 significant at a 1% level (α=0.01)?
  5. Is the parameter β2 significant at a 1% level (α=0.01)?
  6. What is the mean square regression (MSR)?
  7. If you were to do a Backward Elimination based on the p-value of the t-statistic and an alpha to remove of 0.05, would you remove any variable in the first step and if so which one?
  • 7 years ago
Below is a computer output based on a sample of 506 observations with a few spots left blank
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