Question
Listed in the table below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Complete parts a through d. Right arm
Listed in the table below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Complete parts a through d.
Right arm | 100 | 96 | 92 | 77 | 79 | |
---|---|---|---|---|---|---|
Left arm | 179 | 173 | 182 | 150 | 148 |
Question content area bottom
Part 1
a. How well does the best-fit line actually fit the points in the scatterplot? Construct a scatterplot and draw the best-fit line. Choose the correct graph below.
A.
80100120140160180RightarmLeftarm
A scatterplot with horizontal axis labeled "Right arm" from 70 to 120 in increments of 10 and vertical axis labeled "Left arm" from 130 to 190 in increments of 10 contains the following 5 plotted points: (100, 148); (96, 150); (92, 182); (78, 174); (80, 180). A line, rising from left to right, passes through points (90, 168) and (100, 182). Most of the points fall far from the line, where the farthest is 34 vertical units from the line. All values are approximate.
B.
80100120140160180RightarmLeftarm
A scatterplot with horizontal axis labeled "Right arm" from 70 to 120 in increments of 10 and vertical axis labeled "Left arm" from 130 to 190 in increments of 10 contains the following 5 plotted points: (100, 180); (96, 174); (92, 182); (78, 150); (80, 148). A line, rising from left to right, passes through points (90, 164) and (100, 178). The line is within 12 vertical units of the plotted points. All values are approximate.
C.
80100120140160180RightarmLeftarm
A scatterplot with horizontal axis labeled "Right arm" from 70 to 120 in increments of 10 and vertical axis labeled "Left arm" from 130 to 190 in increments of 10 contains the following 5 plotted points: (100, 180); (96, 174); (92, 182); (78, 150); (80, 148). A line, rising from left to right, passes through points (90, 168) and (100, 190). The line is within 12 vertical units of the plotted points. All values are approximate.
D.
80100120140160180RightarmLeftarm
A scatterplot with horizontal axis labeled "Right arm" from 70 to 120 in increments of 10 and vertical axis labeled "Left arm" from 130 to 190 in increments of 10 contains the following 5 plotted points: (100, 180); (96, 174); (92, 182); (78, 150); (80, 148). A line, rising from left to right, passes through points (90, 168) and (100, 182). The line is within 10 vertical units of the plotted points. All values are approximate.
Your answer is correct.
Part 2
b. Briefly discuss the strength of the correlation. Compute r and
r2.
Based on the value for
r2,
identify how much of the variation in the variable can be accounted for by the best-fit line.
r=enter your response here
(Round to two decimal places as needed.)
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