Question

# Listed below are annual data for various years. The data are weights​ (metric tons) of imported...

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