Listed below are annual data for various years. The data are weights (metric ton

Question

Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatal ity rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using = 0.05. Is here sufficent evidence o conclude that here is a linear correlation between lemon imports and crash atality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 229 15.8 265 15.6 357 15.4 484 15.3 530 14.9 Construct a scatterplot. Choose the correct graph below OA, B. OC. OD. 17 17 0 200 400 600 0 200 400 600 0 200 400 600 0 200 400 600 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.) Because the P-value is than the significance leve 05 there sufficient ev dence o support the claim that there is a linear correlation between lemon imports and crash atality rates or a sign cance level o =0.05 Do the results suggest that imported lemons cause car fatalities? OA. The results suggest that imported lemons cause car fatalities.

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Crash Fatality Rate
Independent Variable: Lemon Imports
Crash Fatality Rate = 16.304294 - 0.0024243817 Lemon Imports
Sample size: 5
R (correlation coefficient) = -0.94320871
R-sq = 0.88964267
Estimate of error standard deviation: 0.1300825

Parameter estimates:

Analysis of variance table for regression model:

Hence,

Hypotheses: Option A is correct.

Scatterplot: Option D is correct.

r = -0.943

t = -4.918

P - value = 0.016

Less; is

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 16.304294 0.19286604 0 3 84.536884 <0.0001 Slope -0.0024243817 0.00049298437 0 3 -4.9177659 0.0161

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