Question

The regression equation is Y=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 level of the slope at the 0.05 significance level?

A. t=+-2.179

B. t=+-2.145

C. z=+-1.96

D. +2.145

Answer 1

The given information is:

Sample size (n) = 14

The regression equation is Y = 30 + 2.56X.

It is the case of simple linear regression, as there is only one independent variable (X) is involved, so the degrees of freedom (df) can be calculated as:

df = n – 2 = 14 – 2 = 12

At the significance level 0.05 and the degrees of freedom 12, the two tailed critical value obtained from the t-table is +/- 2.179.

Therefore, the required critical value is +/- 2.179.

Hence, the option (A) is correct.