A researcher measures the relationship between sleep medication use times used p

Question

A researcher measures the relationship between sleep medication use times used per week and time spent working (in hours per week Answer the following questions based on the results provided. Part (a) Compute the Pearson correlation coefficient. () Part (b) Multiply each measurement of drug use times 3 and recalculate the correlation coefficient. () _____ Part (c) Divide each measurement in half for time spent working and recalculate the correlation coefficient. () ____ Part (d) True or false: Multiplying or dividing a positive constant to one set of scores (X or Y) does not change the correlation coefficient. True False

Explanation / Answer

a) here

from above regression coefficient =Sxy/(Sxx*Syy)1/2 =-.0.8775

b)regression coefficeint =-0.8775

c)regression coefficnet =-0.8775

d) true

s. No x Y (X-Xbar)^2 (Y-Ybar)^2 (X-Xbar)(Y-Ybar) 1 8 17 9.0000 81.000 -27.000 2 3 40 4.0000 196.000 -28.000 3 6 17 1.0000 81.000 -9.000 4 3 30 4.0000 16.000 -8.000 total(T) 20.0000 104.0000 18.0000 374.0000 -72.000 mean=T/n 5.000 26.00 Sxx Syy Sxy

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