TABLE 12-8
It is believed that GPA (grade point average, based on a four-point scale) should have a positive linear relationship with ACT scores. Given below is the Microsoft Excel output for predicting GPA using ACT scores based a data set of eight randomly chosen students from a Big Ten university.

-Referring to Table 12-8, the value of the measured (observed)test statistic of the F test for H₀: β₁ = 0 vs. H₁: β₁ = 0
A) may be negative.
B) is always positive.
C) is always negative.
D) has the same sign as the corresponding t test statistic.

Question

TABLE 12-8
It is believed that GPA (grade point average, based on a four-point scale) should have a positive linear relationship with ACT scores. Given below is the Microsoft Excel output for predicting GPA using ACT scores based a data set of eight randomly chosen students from a Big Ten university.
 
-Referring to Table 12-8, the value of the measured (observed)test statistic of the F test for H₀: β₁ = 0 vs. H₁: β₁ = 0
A) may be negative. 
B) is always positive. 
C) is always negative. 
D) has the same sign as the corresponding t test statistic.

Quizplus · Accepted Answer

The F test for the null hypothesis β₁ = 0 tests whether the linear relationship between GPA and ACT scores is significant. The F test statistic is always positive and the larger it is, the stronger the evidence against the null hypothesis. Therefore, the correct choice is B which states that the measured test statistic of the F test is always positive.

TABLE 12-8 It Is Believed That GPA (Grade Point Average, Based on Based