題組內容

2.4 (10%) Multiple regression analysis was used to study how an individual's income (Y in thousands of dollars) is influenced by age (X₁ in years), level of education (X₂ ranging from 1 to 5), and the person's gender (X₃ where 0=female and 1=male). The following is a partial result of computer output that was used on a sample of 20 individuals.

(b) (2%) Use the \( t \) test to determine the significance of each independent variable. Let \( \alpha = 0.05 \). (For each test, give the null and alternative hypotheses, test statistic, and conclusion.)