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 0 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 > 0 C) H_A: β₁ < 0 D) H_A: b₁ > 1

Quizplus · Accepted Answer

The alternative hypothesis takes the form of a positive relationship between x and y, which means that as x increases, y also increases. This is represented by β₁ > 0.

Consider the Following Simple Linear Regression Model: Y = β0

Consider the Following Simple Linear Regression Model: Y = β₀