MRegHW2_507.pdf HW2 2 Exercise: Multiple Regression A researcher wanted to study the relation between patient satisfaction (Y), patient' s age in years (XI), severity of illness (X2), and anxiety...

This assignment is about Multiple Regression and Power analysis. I attached the questions and the data file.


MRegHW2_507.pdf HW22 Exercise: Multiple Regression A researcher wanted to study the relation between patient satisfaction (Y), patient' s age in years (XI), severity of illness (X2), and anxiety level (X3). The results of the study are saved in the attached file (HW2.sav). Use the scenario and data to answer the following questions. Please include relevant analysis outputs from the statistical software (SPSS) and (G*Power), and show your computational process when applicable. 1. Fit a regression model of patient satisfaction on the three independent variables (age, severity, and anxiety). State the estimated regression function. 2. What is the value of BY2.13? How is it interpreted? 3. What is the value of Y213? How is it interpreted? 4. Test whether there is a regression relation between patient satisfaction and the set of predictor variables: patient' s age in years, severity of illness, and anxiety level using a=.01. State the null & alternative hypotheses and provide appropriate test statistics. What is your conclusion? 5. Obtain a 95% CI for each of the (unstandardized) regression coefficients. Interpret the confidence intervals. Do all of them include 0? 6. What is the value of RY2? What does it indicate? 7. Test whether severity of illness contributes uniquely to patient satisfaction variance using a=.01. State the null & alternative hypotheses and provide appropriate test statistics. What is your conclusion? For the next questions, use G*Power 8. Estimate the (observed) power for the test in question 7 (please keep 6 decimal points in your calculation). 9. What sample size would have provided power of .7 for the test in question 7? 10. Given that sample size is 46 and the number of independent variables is 3. Estimate the power to detect an RY2 of .5 (i.e., HO: pop R2=0, Ha: pop R2=.5) at a=.05. 11. Estimate the sample size required to have power =.80 to detect a medium (as defined by Cohen, et al.) unique effect of anxiety level on patient satisfaction above and over that of patient' s age and severity of illness; use a=.05.
Feb 13, 2021
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