Given the regression model y = β₀ + β₁x₁ + β₂x₂ + β₃x₁² + β₄x₂² + ε,if we wish to test the significance of higher-order terms (x₁² and x₂²),we would use the following test. A)Overall F test B)Durbin-Watson test C)Partial F test D)t test E)Cook's distance measure

Question

Quizplus · Accepted Answer

To test the significance of higher-order terms, we need to conduct a Partial F test. This test compares the sum of squares explained by the higher-order terms to the sum of squares explained by the lower-order terms. The null hypothesis is that the higher-order terms do not add significant explanatory power to the model, and the alternative hypothesis is that they do. Therefore, a Partial F test is the best choice.

Given the Regression Model Y = β0 + β1x1

Given the Regression Model Y = β₀ + β₁x₁