Suppose You Are Testing the Null Hypothesis That the Slope

Multiple Choice

Suppose you are testing the null hypothesis that the slope of the regression line is zero versus the alternative hypothesis that the slope is different than zero.Would a very small P-value indicate a strong relationship between the explanatory variable and the response variable?

A) Yes,because the P-value will give the strength of the association between the explanatory variable and the response variable
B) Yes,because if the P-value is small,then R² is large
C) No,because there could be a lot of scatter about the regression line,indicating a weak fit of the data to the model
D) No,because a large P-value would indicate a strong relationship between the explanatory variable and the response variable