
Explanation:
In regression analysis, the F-distributed test statistic is used to test the null hypothesis that the slope of the regression line (denoted as ) is zero, against the alternative hypothesis that at least one slope is not zero. For a simple linear regression, this simplifies to:
Option A is correct because it accurately reflects the null hypothesis being tested. Options B and C are incorrect as they misinterpret the focus of the F-test, which is on the slope, not the intercept, and the null hypothesis specifically tests for a zero slope.
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