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7. Suppose a data set of 150 observations (N =150) was analyzed using OLS to examine...

7. Suppose a data set of 150 observations (N =150) was analyzed using OLS to examine the factors that influence college grade point average (GPA). The regression results are as follows: log(colGPA)=5.5+0.5*hsGPA+0.02*ACT −0.08*skipped. (0.5) (0.1) (0.01) (0.03) where the number in the parenthesis is the corresponding standard error. You want to test the following null hypothesis: the coefficient estimate for ACT=0. What is the t statistic? Suppose the critical value=2.5, would you reject the null hypothesis?

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Answer #1

t statistic for ACT = Coefficient / Standard error = 0.02/0.01 = 2

Since this value is less than the critical value of 2.5, we fail to reject the null hypothesis.

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