It is possible to carry out the model utility test of H₀ : β₁ = β₂ = ... = βk = 0 when only R², n, and k are known.

Question

Quizplus · Accepted Answer

The model utility test can be carried out by examining the t-statistics for each coefficient in the regression equation. Since n and k are already known, we just need to determine the t-values for each β coefficient using the estimated regression equation based on the given R² data. If all the t-values are less than the critical value from the t-distribution table (based on the degree of freedom and significance level), then we can conclude that all the β coefficients are equal to zero, and thus the model has no utility.

It Is Possible to Carry Out the Model Utility Test