The ages (in years) of 10 men and their systolic blood pressures (in millimeters

Question

The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) are shown in the attached data table with a sample correlation coefficient r of 0.897 . Remove the data entry for the man who is 49 years old and has a systolic blood pressure of 201 millimeters of mercury from the data set and find the new correlation coefficient. Describe how this affects the correlation coefficient r. Use technology.. The new correlation coefficient r gets stronger, gets weaker, stays the same, going from 0.897 to _____ .

Age, x                Systolic blood pressure, y

18                       110

26                        120

37                        145

46                       130

49                        201

63                        186

69                        198

31                        130

56                         177

22                         117

Explanation / Answer

Correlation is computed using the CORREL([ ] , [ ]) function in excel:

Correlation with the point (49,201) = 0.897

Correlation without the point (49,201) = 0.958

As correlation value increases, new correlation coefficient r gets stronger, going from 0.897 to 0.958.

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