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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 --- The data on this table can be simplified into a single statement.  Which of the following statements would be the most accurate based on the chart, equation, and correlation coefficient?

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 --- The data on this table can be simplified into a single statement.  Which of the following statements would be the most accurate based on the chart, equation, and correlation coefficient?

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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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

---

The data on this table can be simplified into a single statement.  Which of the following statements would be the most accurate based on the chart, equation, and correlation coefficient?

 

 

Question 10 options:

 

As vegetable consumption goes up, obesity rates would tend to decrease.
 

As vegetable consumption goes down, obesity rates would tend to increase.
 

As vegetable consumption goes up, obesity rates would tend to increase.
 

As vegetable consumption goes down, obesity rates would tend to decrease.
### Scatter Plot Analysis of Vegetable Consumption and Obesity #### Graph Overview: This scatter plot examines the relationship between the average consumption of vegetable products (in kilograms) and the percentage of obesity in a population. - **X-Axis (Horizontal):** Represents the average consumption of vegetable products in kg, ranging from 20 to 50 kg. - **Y-Axis (Vertical):** Represents the percentage of obese individuals, ranging from 0% to 50%. #### Data Points: - Each blue dot represents a data point correlating vegetable consumption with the obesity percentage for a particular case or population group. #### Trend Line: - A dotted trend line is drawn across the plot, indicating the general direction of the relationship. - **Equation of the Line:** \( y = -0.8449x + 50.328 \) - This equation suggests a negative linear relationship, where an increase in vegetable consumption is associated with a decrease in obesity percentage. #### Correlation: - **Correlation Coefficient:** 0.5 - This value indicates a moderate negative correlation, suggesting that as vegetable consumption increases, obesity percentage tends to decrease, although other factors may also be at play. Understanding this graph can inform educational strategies for promoting healthier eating habits and addressing obesity concerns within populations.
Transcribed Image Text:### Scatter Plot Analysis of Vegetable Consumption and Obesity #### Graph Overview: This scatter plot examines the relationship between the average consumption of vegetable products (in kilograms) and the percentage of obesity in a population. - **X-Axis (Horizontal):** Represents the average consumption of vegetable products in kg, ranging from 20 to 50 kg. - **Y-Axis (Vertical):** Represents the percentage of obese individuals, ranging from 0% to 50%. #### Data Points: - Each blue dot represents a data point correlating vegetable consumption with the obesity percentage for a particular case or population group. #### Trend Line: - A dotted trend line is drawn across the plot, indicating the general direction of the relationship. - **Equation of the Line:** \( y = -0.8449x + 50.328 \) - This equation suggests a negative linear relationship, where an increase in vegetable consumption is associated with a decrease in obesity percentage. #### Correlation: - **Correlation Coefficient:** 0.5 - This value indicates a moderate negative correlation, suggesting that as vegetable consumption increases, obesity percentage tends to decrease, although other factors may also be at play. Understanding this graph can inform educational strategies for promoting healthier eating habits and addressing obesity concerns within populations.
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