Consider the following simple linear regression model: y = β₀ + β₁x + ε.When determining whether there is a negative linear relationship between x and y,the alternative hypothesis takes the form ______________. A) H_A:β₁ = 0 B) H_A:β₁ 0 C) H_A:b₁ 0

Question

Consider the following simple linear regression model: y = β₀ + β₁x + ε.When determining whether there is a negative linear relationship between x and y,the alternative hypothesis takes the form ______________. A) H_A:β₁ = 0 B) H_A:β₁ > 0 C) H_A:b₁ < 0 D) H_A:b₁ > 0

Quizplus · Accepted Answer

The alternative hypothesis in this case is that there is a negative linear relationship between x and y. This means that as x increases, y decreases. In terms of the coefficient of x (β₁), this translates to a negative value. Therefore, the best choice for the alternative hypothesis is C: H_A:b₁ < 0.

Consider the Following Simple Linear Regression Model: Y = β0

Consider the Following Simple Linear Regression Model: Y = β₀