Q 96

A sociologist wishes to study the relationship between happiness and age.He interviews 24 individuals and collects data on age and happiness,measured on a scale from 0 to 100.He estimates the following model: Happiness = β_{0} + β_{1}Age + ε.The following table summarizes a portion of the regression results. At the 1% significance level,which of the following is the correct confidence interval of the regression coefficient β_{1}?
A) [0.0390,0.0530]
B) [0.0190,0.5300]
C) [0.0190,0,0530]
D) [0.0390,0.5300]

Q 97

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_{0} + β_{1} GPA + β_{2} Income + ε.The following table summarizes a portion of the regression results. At the 5% significance level,which of the following explanatory variable(s)is(are)individually significant?
A) Only Income.
B) Both,GPA and Income.
C) Only GPA.
D) Neither GPA nor Income.

Q 98

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_{0} + β_{1} GPA + β_{2} 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_{0}:β_{0} = β_{2} = 0;H_{A}: At least β_{0} ≠ 0
B) H_{0}:β_{1} = β_{2} = 0;H_{A}: At least one β_{j} ≠ 0
C) H_{0}:β_{0} = β_{1} = β_{2} = 0;H_{A}: All β_{j} ≠ 0
D) H_{0}:β_{1} = β_{2} = 0;H_{A}: Both β_{j} ≠ 0