A dean of a business school has fit a regress on model to predict college GPA ba

Question

A dean of a business school has fit a regress on model to predict college GPA based on a student's SAT score (SAT_Score), the percentile at which the student graduated high school (HS _Percentile) (for instance, graduating 4th in a class of 500 implies that 496 other students are at or below that student, so the percentile is 49S/500 times 100 = 99), and the total college hours the student has accumulated (Total_Hours). The regression results are shown below. Which of the following correctly specifies the hypothesis test for testing whether Total_Hours has a significant relationship with GPA? Road carefully. H_0: beta_1 = 0 H_1: beta_1 notequalto 0 H_0: beta_3 notequalto 0 H_1: beta_3 = 0 H_0: mu_1 - mu_2 = 0 H_1: mu_1 - mu_2 = 0 H_0: beta_3 = 0 H_1: beta_3 notequalto 0 H_0: F = 1 H_1: f notequalto 1 H_0: beta_3 greaterthanorequalto 0 H_1: beta_3

Explanation / Answer

The symbol for the slope for Total Hours is Beta3.

We take null and alternative hypothesis as equal and not equal to zero. Equal means the slope is insignificant and

not equal means the slope is significant.

Answer: 4th option

H0: Beta 3 = 0

H1: Beta 3 not equal 0

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