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linear correlation coefficient is r= The test statistic T is ? The p-value

linear correlation coefficient is r= The test statistic T is ? The p-value

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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linear correlation coefficient is r= The test statistic T is ? The p-value is ? Do these results suggest that imported lemons cause car fatalities,
**Educational Content: Analyzing Correlation Between Lemon Imports and Car Crash Fatality Rates** 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 (metric tons) | Crash Fatality Rate (per 100,000 population) | |----------------------------|---------------------------------------------| | 228 | 15.9 | | 266 | 15.7 | | 359 | 15.5 | | 481 | 15.2 | | 531 | 14.8 | **Task:** Construct a scatterplot. Choose the correct graph below. **Graphs:** - **Graph A**: Displays points that suggest a negative correlation, with lemon imports on the x-axis and crash fatality rate on the y-axis. The points appear to trend downwards. - **Graph B**: Shows points with little discernible trend or correlation between the variables. - **Graph C**: Features points reflecting a relatively flat distribution, indicating no apparent correlation. - **Graph D**: Contains points that suggest a positive correlation, with an upward trend. **Instructions:** Find the correct scatterplot to visually interpret the relationship between lemon imports and crash fatality rates. The goal is to calculate and interpret the linear correlation coefficient \( r \) and assess the P-value to determine any significant correlation. **Additional Guidance:** The linear correlation coefficient is \( r = \) (Round to three decimal places as needed.)
Transcribed Image Text:**Educational Content: Analyzing Correlation Between Lemon Imports and Car Crash Fatality Rates** 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 (metric tons) | Crash Fatality Rate (per 100,000 population) | |----------------------------|---------------------------------------------| | 228 | 15.9 | | 266 | 15.7 | | 359 | 15.5 | | 481 | 15.2 | | 531 | 14.8 | **Task:** Construct a scatterplot. Choose the correct graph below. **Graphs:** - **Graph A**: Displays points that suggest a negative correlation, with lemon imports on the x-axis and crash fatality rate on the y-axis. The points appear to trend downwards. - **Graph B**: Shows points with little discernible trend or correlation between the variables. - **Graph C**: Features points reflecting a relatively flat distribution, indicating no apparent correlation. - **Graph D**: Contains points that suggest a positive correlation, with an upward trend. **Instructions:** Find the correct scatterplot to visually interpret the relationship between lemon imports and crash fatality rates. The goal is to calculate and interpret the linear correlation coefficient \( r \) and assess the P-value to determine any significant correlation. **Additional Guidance:** The linear correlation coefficient is \( r = \) (Round to three decimal places as needed.)
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