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A Researcher Studies the Relationship Between SAT Scores,the Test-Taker's Family

Question 14

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A researcher studies the relationship between SAT scores,the test-taker's family income,and his or her grade point average (GPA) .Data are collected from 24 students.He estimates the following model: SAT = β0 + β1 GPA + β2 Income + ε.The following table summarizes a portion of the regression results. A researcher studies the relationship between SAT scores,the test-taker's family income,and his or her grade point average (GPA) .Data are collected from 24 students.He estimates the following model: SAT = β<sub>0</sub> + β<sub>1</sub> GPA + β<sub>2</sub> Income + ε.The following table summarizes a portion of the regression results.   Which of the following is the correct hypotheses for testing the joint significance? A)  H<sub>0</sub>:β<sub>0</sub> = β<sub>2</sub> = 0;H<sub>A</sub>: At least β<sub>0</sub> ≠ 0 B)  H<sub>0</sub>:β<sub>1</sub> = β<sub>2</sub> = 0;H<sub>A</sub>: At least one β<sub>j</sub> ≠ 0 C)  H<sub>0</sub>:β<sub>0</sub> = β<sub>1</sub> = β<sub>2</sub> = 0;H<sub>A</sub>: All β<sub>j</sub> ≠ 0 D)  H<sub>0</sub>:β<sub>1</sub> = β<sub>2</sub> = 0;H<sub>A</sub>: Both β<sub>j</sub> ≠ 0 Which of the following is the correct hypotheses for testing the joint significance?


A) H00 = β2 = 0;HA: At least β0 ≠ 0
B) H01 = β2 = 0;HA: At least one βj ≠ 0
C) H00 = β1 = β2 = 0;HA: All βj ≠ 0
D) H01 = β2 = 0;HA: Both βj ≠ 0

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