Question

An application of the simple linear regression model generated the following results involving the F test of the overall regression model: p = 0.0012, R2 = 0.67. The null hypothesis, which states that none of the predictor variables are statistically significantly related to the outcome variable, should be rejected.

True

False

Answer 1

Solution:

Given: An application of the simple linear regression model generated the following results involving the F test of the overall regression model: p = 0.0012, R² = 0.67.

Null hypothesis:

H0: none of the predictor variables are statistically significantly related to the outcome variable

Statement:  The null hypothesis should be rejected.

Decision Rule:
Reject H0, if P-value < 0.05 level of significance, otherwise we fail to reject H0

( We assume level of significance = 0.05, since it is not given)

From given information, we have:

p-value = 0.0012 < 0.05 level of significance, so null hypothesis H0 should be rejected.

Thus given statement is TRUE.