20 26 21 27 22 A fitted multiple regression model yields an R 2 of 0.64. Interpr
ID: 3227783 • Letter: 2
Question
20
26
21
27
22
A fitted multiple regression model yields an R2 of 0.64. Interpret this value.
The correlation between each pair of independent variables is 0.8 or -0.8.
64% of the independent variables used in the regression model are highly correlated and may falsely suggest a curvilinear relationship exists between x and y when the true relationship is linear.
64% of the variation in the observed value of the dependent variable is explained by the regression model.
The fitted model predicts the dependent variable accurately 64% of the time.
64% of the independent variables in the model are capable of accurately predicting the dependent variable.
What can you read from the ANOVA table?
The p-value 0.001742 is quite small, so we reject the null hypothesis and conclude that there is a relationship between the dependent variable and at least one of the independent variables.
The p-value 0.001742 is quite large, so we fail to reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.
The p-value, 0.001742 is larger than the F value, so we reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
Regression Analysis R2 Adjusted R2 Std Error 28 observations 7 predictor variables Wins is the dependent variable MS LE Regression 3.588 9368 Residual Total 3.988.0000 Regression output confidence interval variables codicients sta error p-value 95% lower 95%upper 70.3279 intercept Attendance 0.2960 1.2165 8102 2.2416 28336 -0.4786 0.0641 Payroll -0.2072 0.1301 .1268 Batg Avg 840.3707 112.9908 3.5E-07 604.6761 1.076.0652 Home Runs 0.1199 0.0423 0103 0.0316 0.2081 0305 0.0062 0.1120 0.0591 0.0254 Stolen Bases Errors -0.1719 0.0492 0023 -0.2744 -0.0693 Team ERAExplanation / Answer
a) Number of observations is 28
hence degrees of freedom is (n-1) =27
b)A fitted multiple regression model yields an R2 of 0.64.
64% of the variation in the observed value of the dependent variable is explained by the regression model.
c) The p-value 0.001742 is quite small, so we reject the null hypothesis and conclude that there is a relationship between the dependent variable and at least one of the independent variables.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.