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	18
  5	38
  8	20
  3	32

• 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.)

Answer 1

a)

correlation r='Sxy/(√Sxx*Syy) =

-0.849

b)

correlation r='Sxy/(√Sxx*Syy) =

-0.849

c)

correlation r='Sxy/(√Sxx*Syy) =

-0.849

correlation coefficient remains same for transforming variables linearly