The ages (in years) of 10 men and their systolic blood pressures (in millimeters
ID: 3158740 • Letter: T
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 0.908. Remove the data entry for the man who is 50 years old and has a systolic blood pressure of 199 millimeters of mercury from the data set and find the new correlation coefficient. Describe how this affects the correlation coefficient r. Use technology.
Age, x
Systolic bloodpressure, y
16
108
27
121
38
141
45
131
50
199
65
183
71
199
31
133
57
175
24
119
The new correlation coefficient r (gets stronger, gets weaker, or stays the same) going from 0.908 to ___.
Age, x
Systolic bloodpressure, y
16
108
27
121
38
141
45
131
50
199
65
183
71
199
31
133
57
175
24
119
Explanation / Answer
XY , X2 and Y2 as it was done in the table below.
the sum of every column to get:
X=374 , Y=1310 , XY=59226 , X2=18506 , Y2=198912
r = 0.9692
X Y XY XX YY 16 108 1728 256 11664 27 121 3267 729 14641 38 141 5358 1444 19881 45 131 5895 2025 17161 65 183 11895 4225 33489 71 199 14129 5041 39601 31 133 4123 961 17689 57 175 9975 3249 30625 24 119 2856 576 14161Related Questions
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