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 0.915 Remove the data entry for the man who is 49 years old and has a systolic blood pressure of 198 millimeters of mercury from the data set and find the new correlation coefficient. Describe how this affects the correlation coefficient r. Use technology.

going from 0.915 to ___

Age,_x   Systolic_blood_pressure,_y
16   109
26   123
39   142
44   132
49   198
65   185
68   199
30   129
56   177
22   117

Answer 1

Statistics software output:

Hence, correlation coefficient increased to 0.971

Interpretation: Removing outlier type point increases the value of correlation coefficient.

I hope this will help. Thank you.