Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities?
Lemon_Imports_(x) Crash_Fatality_Rate_(y)
230
15.8
266
15.6
358 15.5
484 15.2
533 14.9
The linear correlation coefficient r is ____ (Round to three decimal places as needed.)
The test statistic t is ___ (Round to three decimal places as needed.)
The P-value is ____ (Round to three decimal places as needed.)
X | Y | X*Y | X2 | Y2 | |
230 | 15.8 | 3634 | 52900 | 249.64 | |
266 | 15.6 | 4149.6 | 70756 | 243.36 | |
358 | 15.5 | 5549 | 128164 | 240.25 | |
484 | 15.2 | 7356.8 | 234256 | 231.04 | |
533 | 14.9 | 7941.7 | 284089 | 222.01 | |
Sum = | 1871 | 77 | 28631.1 | 770165 | 1186.3 |
Test statistics:
p-value = 0.005
alpha=0.05
p value <alpha
so, null hypothesis rejected.
there is sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates
no,imported lemons do not cause car fatalities
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