For a set of 30 data points, Excel has found the estimated multiple regression equation to be $\hat { y }$ = -8.61 + 22x1 + 7x2 + 28x3, and has listed the t statistic for testing the significance of each regression coefficient. Using the 5% significance level for testing whether $\beta$3 = 0, the critical region will be that the absolute value of the t statistic for $\beta$3 is greater than or equal to:
A)2.056.
B)2.045.
C)1.703.
D)1.706.

Question

Quizplus · Accepted Answer

For a sample size of 30, the degrees of freedom for testing a regression coefficient is $n - 2 = 30 - 2 = 28$. At a 5% significance level, the critical value for a two-tailed test from a t-distribution table with 28 degrees of freedom is approximately 2.056.

For a Set of 30 Data Points, Excel Has Found y^\hat { y }y^​

For a Set of 30 Data Points, Excel Has Found $\hat { y }$