When estimating y = β₀ + β₁x₁ + β₂x₂ + β₃x₃ + ε, you wish to test H₀: β₁ = β₂ = 0 versus . The value of the test statistic is F_(2,20) = 2.50 and its associated p-value is 0.1073. At the 5% significance level, the conclusion is to ________. A) reject the null hypothesis; we can conclude that x₁ and x₂ are jointly significant B) reject the null hypothesis; we cannot conclude that x₁ and x₂ are jointly significant C) not reject the null hypothesis; we can conclude that x₁ and x₂ are jointly significant D) not reject the null hypothesis; we cannot conclude that x₁ and x₂ are jointly significant

Question

Quizplus · Accepted Answer

The p-value (0.1073) is greater than the significance level of 0.05, which means that we do not have enough evidence to reject the null hypothesis. Therefore, we cannot conclude that x₁ and x₂ are jointly significant.

When Estimating Y = β0 + β1x1 + β2x2

When Estimating Y = β₀ + β₁x₁ + β₂x₂