The regression equation is Ŷ = 30 + 2.56X,the sample size is 14,and the standard error of the slope is 0.97. What is the critical value to test the significance of the slope at the 0.05 significance level?
A)z = ±1.96
B)t = ±2.179
C)t = ±2.145
D)t = +2.145

Question

Quizplus · Accepted Answer

Since the sample size is small, we need to use the t-distribution to test the significance of the slope. The critical value for a two-tailed test at the 0.05 significance level with 12 degrees of freedom (14-2=12) is t=±2.179. Therefore, the best choice is B.

The Regression Equation Is Ŷ = 30 + 2