A researcher measures the relationship between sleep medication use (in times 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
8 ........................................................... 18
3 ........................................................... 40
6 ........................................................... 20
2 ........................................................... 32
(a) Compute the Pearson correlation coefficient.
(b) Multiply each measurement of drug use by 3 and recalculate the correlation coefficient.
(c) Divide each measurement in half for time spent working and recalculate the correlation coefficient.
(d) True or false: Multiplying or dividing a positive constant by 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.