Question: Listed in the table below are annual data for various years. The data are weights(metric tons) of lemons imported from Mexico and U.S. car crash
Listed in the table below are annual data for various years. The data are weights(metric tons) of lemons imported from Mexico and U.S. car crash fatality rates per100,000 population. Complete parts a through d.
Lemon Imports
230
265
358
480
530
Crash fatality rate
15.8
15.7
15.4
15.1
14.9
a. How well does thebest-fit line actually fit the points in thescatterplot? Construct a scatterplot and draw thebest-fit line. Choose the correct graph below.
A.
2004006001317LemonimportsCrashfatalityrate
A scatterplot with horizontal axis labeled "Lemon imports" from 200 to 600 in increments of 25 and vertical axis labeled "Crash fatality rate" from 13 to 17 in increments of 1 contains the following 5 plotted points: (230, 15.8); (270, 15.7); (360, 15.4); (480, 15.1); (530, 14.9). A line, falling from left to right, passes through points (200, 16.1) and (400, 15.6). The line is within 0.4 vertical units of the plotted points. All values are approximate.
B.
2004006001317LemonimportsCrashfatalityrate
A scatterplot with horizontal axis labeled "Lemon imports" from 200 to 600 in increments of 25 and vertical axis labeled "Crash fatality rate" from 13 to 17 in increments of 1 contains the following 5 plotted points: (230, 15.8); (270, 15.7); (360, 15.4); (480, 15.1); (530, 14.9). A line, falling from left to right, passes through points (200, 15.9) and (400, 15.3). The line is within 0 vertical units of the plotted points. All values are approximate.
Your answer is correct.
C.
2004006001317LemonimportsCrashfatalityrate
A scatterplot with horizontal axis labeled "Lemon imports" from 200 to 600 in increments of 25 and vertical axis labeled "Crash fatality rate" from 13 to 17 in increments of 1 contains the following 5 plotted points: (230, 14.9); (270, 15.7); (360, 15.4); (480, 15.1); (530, 15.8). A line, falling from left to right, passes through points (200, 15.9) and (400, 15.3). The line is within 0.9 vertical units of the plotted points. All values are approximate.
D.
2004006001317LemonimportsCrashfatalityrate
A scatterplot with horizontal axis labeled "Lemon imports" from 200 to 600 in increments of 25 and vertical axis labeled "Crash fatality rate" from 13 to 17 in increments of 1 contains the following 5 plotted points: (230, 14.9); (270, 15.4); (360, 15.1); (480, 15.7); (530, 15.8). A line, falling from left to right, passes through points (200, 15.9) and (400, 15.3). The line is within 0.9 vertical units of the plotted points. All values are approximate.
Thebest-fit line shows a very good
fit to the points in the scatterplot.
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 thebest-fit line.
r=negative 1.001.00 (Round to two decimal places asneeded.)
Compute r2.
r2=nothing (Round to two decimal places asneeded.)
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