Researchers had participants review feedback from their teacher on a final paper. After reading the feedback, participants rated the teacher's comment on how fair and legitimate they thought the comment was. Participants also rated their overall impression of their teacher. The research team ran a regression to see if fairness and legitimate ratings predict overall teacher impression. Below is the output for their regression analysis.
Regression
a. Dependent Variable: Teacher_Impression
b. All requested variables entered.
a. Predictors: (Constant), Legitimate_Ratings, Fairness_Ratings
a. Dependent Variable: Teacher_Impression
b. Predictors: (Constant), Legitimate_Ratings, Fairness_Ratings
a. Dependent Variable: Teacher_Impression
What should the researchers conclude about the hypothesis test that assesses whether the predictors meaningfully predict scores on the criterion?
Researchers had participants review feedback from their teacher on a final paper. After reading the feedback, participants rated the teacher's comment on how fair and legitimate they thought the comment was. Participants also rated their overall impression of their teacher. The research team ran a regression to see if fairness and legitimate ratings predict overall teacher impression. Below is the output for their regression analysis.
Regression
Variables Entered/Removeda Variables Variables Model Entered Removed Method
Legitimate_Ratings, Fairness_Ratings
Enter
a. Dependent Variable: Teacher_Impression b. All requested variables entered
Model Summary Adjusted R Std.Error of the Model R R Square Square Estimate .668a 446 .411 .84346 a. Predictors: (Constant), Legitimate_Ratings Fairness_Ratings
ANOVAa Sum of Model Squares df Mean Square Regression 18.308 2 9.154 Residual 22.766 32 .711 Total 41.074 34 a. Dependent Variable: Teacher_Impression b. Predictors: (Constant), Legitimate_Ratings, Fairness_Ratings
Sig <.001b
12.867
Coefficients
Unstandardized Coefficients Coefficients Model B Std.Error Beta (Constant) .908 .488 Fairness_Ratings 412 .099 .559 Legitimate_Ratings .293 .146 .270 a. Dependent Variable: Teacher_Impression
Sig. .072 c.001 .053
1.861 4.166 2.008
What should the researchers conclude about the hypothesis test that assesses whether the predictors meaningfully predict scores on the criterion?