Question

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.)

Answer 1

	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