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 = -0.96

Question

Quizplus · Accepted Answer

To test the significance of the slope, we use the t-test statistic formula: t = (b - 0) / SE(b), where b is the slope coefficient (in this case, -0.96), and SE(b) is the standard error of the slope (in this case, 0.22). Plugging in the values, we get t = (-0.96 - 0) / 0.22 = -4.364. Since the sample size is small (n = 8) and the population standard deviation is unknown, we use a t-distribution and should choose option C.

The Regression Equation Is Ŷ = 29