Data from the United Nations on individual countries Obesity rates and vegetable consumption by country were organized into the scatter plot below.   Linear Regression Equation for this data: y = -0.8449x + 50.328 Correlation Coefficient: 0.5   Question 8 options:   Strongly Correlated   Weakly Correlated   Not correlated   Moderately Correlated

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Data from the United Nations on individual countries Obesity rates and vegetable consumption by country were organized into the scatter plot below.

 

Linear Regression Equation for this data: y = -0.8449x + 50.328

Correlation Coefficient: 0.5

 

Question 8 options:

 

Strongly Correlated

 

Weakly Correlated

 

Not correlated

 

Moderately Correlated

This scatter plot displays the relationship between the average consumption of vegetable products (in kilograms) and the percentage of obese individuals. Each blue dot on the graph represents data points from different samples.

### Key Features:

1. **Axes:**
   - **X-axis:** Represents the average consumption of vegetable products, measured in kilograms, ranging from 20 to 50 kg.
   - **Y-axis:** Represents the percentage of obese individuals, ranging from 0 to 50%.

2. **Trend Line:**
   - A dotted line indicates a negative correlation between vegetable consumption and the percentage of obesity. 

3. **Equation and Correlation:**
   - **Equation:** \( y = -0.8449x + 50.328 \)
     - This equation suggests that for every additional kilogram of vegetable products consumed, the percentage of obesity decreases by approximately 0.8449%.
   - **Correlation Coefficient:** 0.5
     - This value indicates a moderate negative correlation, suggesting that as vegetable consumption increases, the percentage of obesity tends to decrease.

### Interpretation:

The scatter plot suggests a general trend where higher consumption of vegetables is associated with lower levels of obesity. However, individual data points still show variability around the trend line, indicating other factors may also influence obesity levels.
Transcribed Image Text:This scatter plot displays the relationship between the average consumption of vegetable products (in kilograms) and the percentage of obese individuals. Each blue dot on the graph represents data points from different samples. ### Key Features: 1. **Axes:** - **X-axis:** Represents the average consumption of vegetable products, measured in kilograms, ranging from 20 to 50 kg. - **Y-axis:** Represents the percentage of obese individuals, ranging from 0 to 50%. 2. **Trend Line:** - A dotted line indicates a negative correlation between vegetable consumption and the percentage of obesity. 3. **Equation and Correlation:** - **Equation:** \( y = -0.8449x + 50.328 \) - This equation suggests that for every additional kilogram of vegetable products consumed, the percentage of obesity decreases by approximately 0.8449%. - **Correlation Coefficient:** 0.5 - This value indicates a moderate negative correlation, suggesting that as vegetable consumption increases, the percentage of obesity tends to decrease. ### Interpretation: The scatter plot suggests a general trend where higher consumption of vegetables is associated with lower levels of obesity. However, individual data points still show variability around the trend line, indicating other factors may also influence obesity levels.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman