Consider the following simple linear regression model: y = β₀ + β₁x + ε.When determining whether there is a positive linear relationship between x and y,the alternative hypothesis takes the form ______________. A) H_A:β₁ = 0 B) H_A:β₁ 1 C) H_A:β₁ 1

Question

Consider the following simple linear regression model: y = β₀ + β₁x + ε.When determining whether there is a positive linear relationship between x and y,the alternative hypothesis takes the form ______________. A) H_A:β₁ = 0 B) H_A:β₁ > 1 C) H_A:β₁ < 0 D) H_A:b₁ > 1

Quizplus · Accepted Answer

The alternative hypothesis takes the form of stating that there is a positive linear relationship between x and y. This means that the coefficient of x (β₁) is greater than 0. Option B is the only choice that represents this alternative hypothesis. Option A represents the null hypothesis, which states that there is no relationship between x and y. Option C represents the alternative hypothesis of a negative linear relationship, and option D is not a valid option as it has an extra letter "b" in front of the coefficient.

Consider the Following Simple Linear Regression Model: Y = β0

Consider the Following Simple Linear Regression Model: Y = β₀