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  

Explanation / Answer

a) The statistical software output for this problem is:

Correlation between Sleep Medication Use and Time Spent Working is:
-0.86768731

Hence,

Pearson correlation coefficient (r) = -0.868

Now changing the scale of any one of the variable or both the variables doesn't affect the value of Pearson correlation coefficient. Hence,

b) r = -0.868

c) r = -0.868

d) True

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