In regression analysis, a p-value provides the probability (judged by the t-value associated with an estimated regression coefficient) of being true, given the claim : The true regression coefficient equals 0.

Question

In regression analysis, a p-value provides the probability (judged by the t-value associated with an estimated regression coefficient) of  being true, given the claim  : The true regression coefficient equals 0.

Quizplus · Accepted Answer

A p-value provides the probability of obtaining a certain test statistic (in this case the t-value associated with an estimated regression coefficient) assuming the null hypothesis (in this case the true regression coefficient equals 0). Therefore, a low p-value indicates that the null hypothesis is unlikely to be true and suggests the alternative hypothesis (in this case the true regression coefficient is not 0) may be more plausible.

In Regression Analysis, a P-Value Provides the Probability (Judged by the T-Value