In a simple regression, which would suggest a significant relationship between X and Y?
A)Large p-value for the estimated slope.
B)Large t statistic for the slope.
C)Large p-value for the F statistic.
D)Small t statistic for the slope.

Question

Quizplus · Accepted Answer

A large t statistic for the slope means that the slope is significantly different from zero, indicating a significant relationship between X and Y. A large p-value for the estimated slope (A) and small t statistic for the slope (D) suggest a non-significant relationship. A large p-value for the F statistic (C) suggests the model as a whole is not significant, but does not provide information about the relationship between X and Y specifically.

In a Simple Regression, Which Would Suggest a Significant Relationship