Solution Found!
Full answer: Testing for a Linear Correlation. In Exercises 1328, construct a
Chapter 10, Problem 13(choose chapter or problem)
Testing for a Linear Correlation. Construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6 using \(\alpha=0.05\). Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-3 exercises.)
Lemons and Car Crashes Listed below are annual data for various years. The data are weights (metric tons) of lemons imported from Mexico and U.S. car crash fatality rates per 100,000 population [based on data from “The Trouble with QSAR (or How I Learned to Stop Worrying and Embrace Fallacy)” by Stephen Johnson, Journal of Chemical Information and Modeling, Vol. 48, No. 1]. Is there sufficient evidence to conclude that there is a linear correlation between weights of lemon imports from Mexico and U.S. car fatality rates? Do the results suggest that imported lemons cause car fatalities?
| Lemon Imports | 230 | 265 | 358 | 480 | 530 |
| Crash Fatality Rate | 15.9 | 15.7 | 15.4 | 15.3 | 14.9 |
Questions & Answers
QUESTION:
Testing for a Linear Correlation. Construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6 using \(\alpha=0.05\). Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-3 exercises.)
Lemons and Car Crashes Listed below are annual data for various years. The data are weights (metric tons) of lemons imported from Mexico and U.S. car crash fatality rates per 100,000 population [based on data from “The Trouble with QSAR (or How I Learned to Stop Worrying and Embrace Fallacy)” by Stephen Johnson, Journal of Chemical Information and Modeling, Vol. 48, No. 1]. Is there sufficient evidence to conclude that there is a linear correlation between weights of lemon imports from Mexico and U.S. car fatality rates? Do the results suggest that imported lemons cause car fatalities?
| Lemon Imports | 230 | 265 | 358 | 480 | 530 |
| Crash Fatality Rate | 15.9 | 15.7 | 15.4 | 15.3 | 14.9 |
Problem 13
Testing for a Linear Correlation. In Exercises 13-28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P value or the critical values of r from Table A6 using 
Lemons and Car Crashes. Listed below are annual data for various years. The data are weights (metric tons) of lemons imported from Mexico and U.S. car crash fatality rates per 100,000 population [based on data from The Trouble with QSAR (or How I Learned to Stop Worrying and Embrace Fallacy) by Stephen Johnson, Journal of Chemical Information and Modelling, Vol. 48, No. 1]. Is there sufficient evidence to conclude that there is a linear correlation between weights of lemon imports from Mexico and U.S. car fatality rates? Do the results suggest that imported lemons cause car fatalities?
Step by Step Solution
Step 1 of 6
Given:
The provided data of weights (metric tons) of lemons imported from Mexico and U.S. and the car crash fatality rates per 100,000 populations is as follows:
The sample size of weights of Lemon Imports and U.S. car fatality rates is n=5.
The level of significance is