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

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Quizplus · Accepted Answer

A very small P-value indicates that there is strong evidence against the null hypothesis, suggesting that the slope is significantly different from zero. However, it does not necessarily mean that the data fits the model well, as there could still be a lot of scatter around the regression line.

Suppose You Are Testing the Null Hypothesis That the Slope