7. In a partial F test, if the calculated F statistic is larger than the critica

Question

7. In a partial F test, if the calculated F statistic is larger than the critical F value then the null hypothesis is A not rejected and the conclusion is that the group of independent variables tested should be included in the model. B. rejected and the conclusion is that the group of independent variables tested should be included in the model. C. not rejected and the conclusion is that the group of independent variables tested should be removed from the model. rejected and the conclusion is that the group of independent variable tested should be removed from the model. which of the following statements about a stepwise regression procedure is true? he model with a small standard error and a large adjusted coefficient of determination is the best model. The model with a large standard error and a small adjusted coefficient of determination is the best model. C. There are no available statistical criteria to judge which regression model equation i D. The model with a small standard error and a small adjusted coefficient of determination is the best model. s best. 9. A non-linear relationship between a dependent and independent variable in a regression model could be estimated by A. adding a new variable to the equation: the squared value of the independent variable. B. taking the logarithm of the independent variable. C. taking the logarithm of the dependent variable. D. all of the above. 10. The science of statistics A. is used by successful managers to make better business decisions. 8. helps managers to decide what information is worth collecting and storing. C. caused British Prime Minister Benjamin Disraeli to say, "There are three kinds of lies: lies damned lies, and statistics." D. all of the above.

Explanation / Answer

(7) B,

if the the average decrease in error due to adding the regressors is quite large, then these regressors are contributing a good deal of explanatory power and thus should be included.

here partial F, is significant it means added variable reducing the error significantly so it should be included in the model

(8) A,

small standard eroor and large ajusted R-square are the desirable property of the model

(9) D

logarithm and square are non-linear function

(10)D

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