Question: Problem A) Simple Linear Regression Use each variable (state anxiety, trait anxiety, and curiosity) to predict depression individually. Note: you should run three different regressions.

Problem A) Simple Linear Regression

  1. Use each variable (state anxiety, trait anxiety, and curiosity) to predict depression individually. Note: you should run three different regressions.
  2. Report the results of each regression in paragraphstyle and write each regression line.
Model Fit Measures
Overall Model Test
Model R R F df1 df2 p
1 0.520 0.271 36.3 1 98 <.001
Model Coefficients - Depression
Predictor Estimate SE t p Stand. Estimate
Intercept 12.866 1.4941 8.61 <.001
State_Anxiety 0.239 0.0397 6.03 <.001 0.520

Model Fit Measures
Overall Model Test
Model R R F df1 df2 p
1 0.498 0.248 32.2 1 98 <.001
Model Coefficients - Depression
Predictor Estimate SE t p Stand. Estimate
Intercept 11.685 1.7807 6.56 <.001
Trait_Anxiety 0.254 0.0447 5.68 <.001 0.498

Model Fit Measures
Overall Model Test
Model R R F df1 df2 p
1 0.143 0.0204 2.04 1 98 0.156
Model Coefficients - Depression
Predictor Estimate SE t p Stand. Estimate
Intercept 27.135 4.005 6.77 <.001
Curiosity -0.202 0.142 -1.43 0.156 -0.143

Problem B) Multiple Linear Regression

  1. Conduct a multiple regression using all five variables together (state anxiety, trait anxiety, happiness, anger, curiosity) to predict depression scores.
  2. Report the results in a paragraph style and write the regression line.
  3. Finally, using multiple regression, make a regression table as was demonstrated in class.
Model Fit Measures
Overall Model Test
Model R R F df1 df2 p
1 0.665 0.442 14.9 5 94 <.001

Model Coefficients - Depression
Predictor Estimate SE t p Stand. Estimate
Intercept 7.4307 4.3722 1.700 0.093
State_Anxiety 0.1254 0.0558 2.246 0.027 0.2728
Trait_Anxiety 0.0703 0.0646 1.089 0.279 0.1377
Happiness 0.0956 0.0427 2.242 0.027 0.2271
Anger 0.2131 0.0841 2.533 0.013 0.2400
Curiosity -0.0208 0.1208 -0.172 0.863 -0.0147

Problem C) Moderation

  1. Test if the relationship between hours worked per week predicting Current GPA is moderated by Interdependent motives.
  2. Report the results in paragraphstyle using appropriate tables and figures as needed.
Moderation Estimates
95% Confidence Interval
Estimate SE Lower Upper Z p
HOURS_WORK 0.04119 0.00151 0.03822 0.04415 27.22 <.001
Interdependent_Motives 0.06239 0.01095 0.04094 0.08385 5.70 <.001
HOURS_WORK Interdependent_Motives -0.00332 0.00105 -0.00538 -0.00127 -3.17 0.002
Simple Slope Estimates
95% Confidence Interval
Estimate SE Lower Upper Z p
Average 0.0412 0.00154 0.0382 0.0442 26.8 <.001
Low (-1SD) 0.0460 0.00207 0.0420 0.0501 22.3 <.001
High (+1SD) 0.0363 0.00228 0.0319 0.0408 16.0 <.001
Note.shows the effect of the predictor (HOURS_WORK) on the dependent variable (CurrentGPA) at different levels of the moderator (Interdependent_Motives)

Problem D) Mediation

  1. Test if the relationship between perceived fit predicting Current GPA will be mediated by Satisfaction.
  2. Report the results in paragraph style using appropriate tables and figures as needed.
Mediation Estimates
95% Confidence Interval
Effect Label Estimate SE Lower Upper Z p % Mediation
Indirect ab 0.1204 0.0455 0.03123 0.210 2.647 0.008 84.0
Direct c -0.0229 0.0643 -0.14883 0.103 -0.356 0.722 16.0
Total c+ab 0.0975 0.0463 0.00667 0.188 2.104 0.035 100.0
Path Estimates
95% Confidence Interval
Label Estimate SE Lower Upper Z p
Fit Satisfaction a 0.5998 0.0329 0.5353 0.664 18.222 <.001
Satisfaction CurrentGPA b 0.2007 0.0750 0.0536 0.348 2.675 0.007
Fit CurrentGPA c -0.0229 0.0643 -0.1488 0.103 -0.356 0.722

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