In simple linear regression,most often we perform a two-tail test of the population slope $\beta$₁ to determine whether there is sufficient evidence to infer that a linear relationship exists.The null hypothesis is stated as: A) H₀: $\beta$₁ = 0 B) H₀: $\beta$₁ = b₁ C) H₀: $\beta$₁ $\neq$ 0 D) None of these choices.

Question

Quizplus · Accepted Answer

The null hypothesis in simple linear regression is that the population slope is equal to zero, indicating no linear relationship between the variables. Therefore, choice A is the correct statement of the null hypothesis. Choice B is incorrect because it suggests that the population slope is equal to the sample slope, which is not necessarily true. Choice C is incorrect because it suggests a two-tail test for the population slope being equal to either positive or negative values, but the null hypothesis is only concerned with the slope being equal to zero.

In Simple Linear Regression,most Often We Perform a Two-Tail Test β\betaβ

In Simple Linear Regression,most Often We Perform a Two-Tail Test $\beta$