Given that the fitted regression is Y = 76.40 -6.388X₁ + 0.870X₂,the standard error of b₁ is 1.453,and n = 63.At α = .05,we can conclude that X₁ is a significant predictor of Y.

Question

Quizplus · Accepted Answer

To test the significance of the predictor variable X₁, we need to calculate its t-value. We do this by dividing the coefficient of X₁ (-6.388) by its standard error (1.453). This gives us a t-value of -4.395. With n = 63 and α = .05, the critical t-value for a two-tailed test is 2.000. Since our calculated t-value (-4.395) is greater than the critical t-value (2.000), we can reject the null hypothesis that the coefficient of X₁ is not significantly different from zero. Therefore, we can conclude that X₁ is a significant predictor of Y.

Given That the Fitted Regression Is Y = 76