題組內容

3. A multiple regression analysis was performed on a random sample with the model \( y_{i} = \beta_{0} + \beta_{1}x_{i1} + \beta_{2}x_{i2} + \beta_{3}x_{i3} + \beta_{4}x_{i4} + \epsilon_{i} \quad i = 1, \ldots, 33 \) If the coefficient of determination is .8 (R²), the F-value for testing \( H_{0}: \beta_{1} = \beta_{2} = \beta_{3} = \beta_{4} = 0 \) is      6.       (5%) If the correlation between y and x₁ is .2 and a simple linear regression (using x₁ to predict y) was performed, what is the t-value for testing \( H_{0}: \beta_{1} = 0 \)?       7.      (5%)

6.