The regression equation is Ŷ = 29.29 − 0.96X,the sample size is 8,and the standard error of the slope is 0.22. What is the critical value to test the significance of the slope at the 0.01 significance level?
A)z = +2.576
B)z = +3.707
C)t = +3.355
D)t = ±3.707

Question

Quizplus · Accepted Answer

Given the context of testing the significance of the slope in a regression equation with a small sample size (n = 8), a t-distribution is used instead of a z-distribution. For a two-tailed test at the 0.01 significance level with degrees of freedom (df) equal to n - 2 (which is 6 in this case), the critical value from t-distribution tables or calculators for df = 6 at the 0.01 level (0.005 in each tail for a two-tailed test) is approximately ±3.707.

The Regression Equation Is Ŷ = 29