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.

Sleep Medication Use	Time Spent Working
10	16
5	40
7	20
4	32

• 1. Compute the Pearson correlation coefficient. (Round your answer to three decimal places.

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

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

Answer 1

The statistical software output for this problem is:

Also correlation coefficient doesn't depend on change of scale or origin. Hence,

1. Pearson correlation coefficient = -0.846

2. Pearson correlation coefficient = -0.846

3. Pearson correlation coefficient = -0.846