Memory performance declines with older age. Some hypothesize that memory performance declines the more physical symptoms that you report. A researcher tested 72 subjects on a recall test asking them to recall a list of words presented one at a time. The age of each subject was also noted. In addition, each participant completed a physical symptom questionnaire in which they reported how many physical symptoms that they suffer from. The larger the number the more physical symptoms they are reporting.A data set labeled problem 1 has 72 subjects with each subjects recall score(recall), age (age)and number of physical symptoms (numsymp) noted. Conduct an analysis to properly test the effects of age and number of physical symptoms predicting recall.

Agenumsymrecall

10.00 8.00 10.00

12.00 10.00 16.00

18.00 6.00 12.00

19.00 13.00 21.00

22.00 14.00 26.00

25.00 6.00 18.00

27.00 13.00 26.00

30.00 12.00 20.00

32.00 13.00 32.00

34.00 12.00 26.00

36.00 12.00 30.00

38.00 4.00 36.00

10.00 8.00 10.00

12.00 10.00 16.00

18.00 6.00 12.00

19.00 13.00 21.00

22.00 14.00 26.00

25.00 6.00 18.00

27.00 13.00 26.00

30.00 12.00 20.00

32.00 11.00 32.00

34.00 11.00 26.00

36.00 12.00 30.00

38.00 18.00 36.00

10.00 8.00 10.00

12.00 10.00 16.00

18.00 6.00 12.00

19.00 13.00 21.00

22.00 14.00 26.00

25.00 6.00 18.00

27.00 13.00 26.00

30.00 12.00 20.00

32.00 13.00 32.00

34.00 2.00 26.00

36.00 3.00 30.00

38.00 4.00 36.00

10.00 8.00 10.00

12.00 10.00 16.00

18.00 6.00 12.00

19.00 13.00 21.00

22.00 14.00 26.00

25.00 6.00 18.00

27.00 13.00 26.00

30.00 12.00 20.00

32.00 13.00 32.00

34.00 1.00 26.00

36.00 2.00 30.00

38.00 2.00 36.00

10.00 8.00 10.00

12.00 10.00 16.00

18.00 6.00 12.00

19.00 13.00 21.00

22.00 14.00 26.00

25.00 6.00 18.00

27.00 13.00 26.00

30.00 2.00 20.00

32.00 3.00 32.00

34.00 2.00 26.00

36.00 2.00 30.00

38.00 2.00 36.00

10.00 8.00 10.00

12.00 10.00 16.00

18.00 6.00 12.00

19.00 13.00 21.00

22.00 14.00 26.00

25.00 6.00 18.00

27.00 13.00 26.00

30.00 1.00 20.00

32.00 1.00 32.00

34.00 1.00 26.00

36.00 1.00 30.00

38.00 2.00 36.00

Answer the following questions from the results.

1. Write out the final regression equation

2. What is the regression coefficient for Age and whatdoes that number specifically tell you about your results?

3. What is the regression coefficient Number of Symptomsand what does that specifically tell you about your results

4. Write below what number indicates the error in prediction from your analysis.

5. What percent of the variance in recalls is accounted for by the predictor variables (after correcting for inflation)____________.

4. What percent of the variance in recalls is uniquely accounted for by the number of symptomsscores?_____

5. For each standard deviationchangein number of symptomsscore how much does recalls change and in what direction___

6.For each change of one standard deviation in agehow much does recalls change and in what direction___

7. Is there a problem with collinearity in this analysis. Use thethree components of collinearity I reviewed in class to make your case for or against.