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 α=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	228	266	357	483	534
Crash Fatality Rate	15.9	15.6	15.4	15.3	14.9

What are the null and alternative​ hypotheses?

Ho: p=0

H1: p≠0

a) The linear correlation coefficient r is

b)The test statistic t is

c)The​ P-value is

Answer 1

The statistical software output for this problem is:

Hence,

a) r = -0.942

b) t = -4.856

c) P = 0.0167