linear correlation coefficient is r= The test statistic T is ? The p-value
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
linear correlation coefficient is r=
The test statistic T is ?
The p-value is ?
Do these results suggest that imported lemons cause car fatalities,
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.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman