The f test for the overall significance of the regression tests the null hypothesis that
a) at least one of the slope coefficients is not zero.
b) at least one of the slope coefficients is zero.
c) all slope coefficients and the intercept are zero.
d) all slope coefficients are zero.

Option d is right.

Step-by-step explanation:

Whenever there are more than one independent variable and there is one dependent variable we run multiple regression.

The equation would have the form

The first one is a constant which is y intercept

The other betas are called slopes.

When in multiple linear regression, we test all the slopes with F test with null hypothesis

that all slope coefficients are zero.

Alternate would be

at least one of the slope coefficients is not zero.

So option d is right

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