If the hypothesis, H_o: $\beta$₁= 0 is rejected, then the sample regression coefficient b₁, indicates the change in the predicted value for a unit change in X₁ when all other X_i variables are held constant.

Question

Quizplus · Accepted Answer

This statement is true. When the null hypothesis is rejected, it means that there is statistically significant evidence of a relationship between the X₁ and the dependent variable. The sample regression coefficient b₁ in this case represents the slope of the regression line, and thus indicates the change in the predicted value for a unit change in X₁ when all other variables are held constant.

If the Hypothesis, Ho β\betaβ 1= 0 Is Rejected, Then the Sample Regression Coefficient B1

If the Hypothesis, H_o $\beta$ ₁= 0 Is Rejected, Then the Sample Regression Coefficient B₁