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

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. (Round your answer to three decimal places.)

Part (b)

Multiply each measurement of drug use times 3 and recalculate the correlation coefficient. (Round your answer to three decimal places.)

Part (c)

Divide each measurement in half for time spent working and recalculate the correlation coefficient. (Round your answer to three decimal places.)

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. Note: Use your answers in (a) to (c) to answer true or false.

TrueFalse   

Sleep Medication Use Time Spent Working 9 18 4 37 7 20 4 29

Explanation / Answer

Ans:

a)Uisng original data,correlation cofficient,r=-0.901

(use excel function CORREL(x,y))

b)

correlation cofficient r=-0.901

c)

correlation cofficient r=-0.901

d)As,anser for part a,b,c is same.

Multiplying or dividing a positive constant to one set of scores (X or Y) does not change the correlation coefficient.

Above statement is true.

Using formula:

r==(4*566-24*104)/SQRT((4*162-24^2)*(4*2934-104^2))=-0.901

Sleep Medication Use Time Spent Working 27 18 12 37 21 20 12 29

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