3. calculating the Pearson correlation and coefficient of determination Aa Aa su

Question

3. calculating the Pearson correlation and coefficient of determination Aa Aa suppose you are interested in the role of social support in immune function among retired men who live alone. You ask 50 patients to record the number of days they do not see or interact with a friend or family member over a period of 1 month to see whether the number of nonsocial days in a typical month correlates with the number of new illnesses they experience per year. You decide to use the computational formula to calculate the Pearson correlation between the number of nonsocial days in a month and the number of illnesses per year. To do so, you call the number of nonsocial days in a month x and the number of illnesses per year Y. Then, you add up your data values (Ex and EY), add up the squares of your data values (zx2 and EY2), and add up the products of your data values (ExY). The following table summarizes your results: EX 590 EY 380 EX2 10,456 options. ago, sao, 45 ZY2 4,258 EXY 4,887 or 3C91 The sum of squares for the number of nonsocial days in a month is ssx options 258 The sum of squares for the number of illnesses per year is ss lb. 590 c. 1,310 380 The sum of products for the number of nonsocial days in a month and the number of illnesses per year is SP- homs: a. 4,258 b. 403 403 options: a) 0.07 d. 510 b) 0 The Pearson correlation coefficient is r 0.19 dy 0.82.

Explanation / Answer

SSX =10456-(590)2/50=3494

SSY=4258-3802/50=1370

SP=4887-380*590/50=403

r=SP/(SSX*SSY)1/2 =0.18

r2 =0.03 indicating that 3% of the ...

positive ; positive

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