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Question: In testing the overall significance of a


In testing the overall significance of a multiple regression model, the null hypothesis that each one of the β-coefficients of the x-variables in the model is equal to zero, is tested against the alternative hypothesis that __________.
a) Each one of the β -coefficients of the x-variables in the model is ≠ zero
b) At least two of the β -coefficients of the x-variables in the model is ≠ zero
c) At least one of the β -coefficients of the x-variables in the model is ≠ zero
d) Each one of the β -coefficients of the x-variables in the model is > zero
12. The test statistic used to test the overall significance of a multiple regression model, the null hypothesis that each one the β -coefficients of the x-variables in the model is equal to zero, is tested against the alternative hypothesis that at least one the β-coefficients of the x-variables in the model is ≠ zero, is the __________.
a) F value from the F-distribution tables
b) F value calculated as mean square regression divided by mean square error
c) t statistic
d) χ2 statistic
13. To test if an individual βi coefficient in the population multiple regression model is significantly different from zero, a hypothesis test is conducted on the corresponding βi coefficient in the regression equation developed using sample data. This test is a __________.
a) Non-parametric test
b) z-test
c) t-test
d) F-test
14. When additional independent variables are added to a simple linear regression, the coefficient of determination, R2 may __________.
a) Become negative
b) Decrease or stay the same
c) Stay the same
d) Increase or stay the same
15. Which of the following is not an admissible value for the coefficient of determination?
a) 0
b) 0.5
c) 1.0
d) 1.5
16. A measure of goodness of fit for a multiple regression model is _____________.
a) Mean square due to error
b) Mean square due to regression
c) Coefficient of multiple determination
d) t-statistic
17. The range for the coefficient of multiple determination is _______________.
a) – infinity to + infinity
b) – infinity to 0
c) 0 to + infinity
d) 0 to +1
18. The adjusted R2 accounts for ___________________________________.
a) The number of independent variables in the model
b) The number of dependent variables in the model
c) The number of observations
d) The number of the outliers in the data set
e) The number of total degrees of freedom
19. As n, the number of observations in the data set increases the gap between R2 and adjusted R2 ________________.
a) Increases
b) Remains the same
c) Gets multiplied by n
d) Gets divided by n
e) Decreases
20. In a regression study, a multiple regression model with two explanatory variables is developed using a data set with 23 observations. In the ANOVA table for this model, the sum of squares total (SSyy) is = 12500 and the sum of squares regression (SSR) = 9500. The number of degrees of freedom for the residual error is __________.
a) 23
b) 22
c) 21
d) 20


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