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 test statistic to test the significance of the slope?
A)z = −4.364
B)z = +4.364
C)t = −4.364
D)t = −0.960

Question

Quizplus · Accepted Answer

Since the sample size is small (n=8), the appropriate test statistic to test the significance of the slope would be a t-test. The formula for the t-statistic is t = (slope- null hypothesis value)/ standard error of the slope. The null hypothesis value is usually 0 for testing the significance of a slope. Plugging in the values from the question, we get t = (-0.96-0)/0.22 = -4.364. Therefore, the correct answer is C.

The Regression Equation Is Ŷ = 29