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What is the correlation coefficient r is equal to?

What is the correlation coefficient r is equal to?

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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### Earthquake and Casualty Analysis A random sample of 42 earthquakes that have occurred between January 2015 and September 2017 was selected. For each earthquake, the magnitude of the earthquake and the number of people killed was recorded. The data appear in the scatterplot below. #### Scatterplot Explanation: - **X-Axis (Horizontal)**: Represents the Magnitude of Earthquake. - **Y-Axis (Vertical)**: Represents the Number of People Killed. The scatterplot shows a collection of data points that correspond to the magnitude of earthquakes and the resulting number of fatalities. Observations from the scatterplot: - Most earthquakes with magnitudes below 5 tend to result in relatively fewer fatalities. - A noticeable increase in the number of casualties is evident as the earthquake magnitude rises above 5. - There is a significant outlier where an earthquake with a magnitude of around 6.5 resulted in a notably higher number of fatalities, exceeding 300. #### Assessment Question: Consider the scatterplot above. What is the correlation coefficient \( r \) equal to? - ○ 0.6 - ○ -0.6 - ○ 1.2 - ○ 0.02 Choose the correlation coefficient \( r \) that best describes the relationship between the magnitude of the earthquake and the number of people killed based on the given data points in the scatterplot. (Note: The correlation coefficient \( r \) quantifies the strength and direction of a linear relationship between two variables, with values ranging from -1 to 1. A positive value indicates a positive relationship, a negative value indicates a negative relationship, and values closer to 0 imply a weaker linear relationship.)
Transcribed Image Text:### Earthquake and Casualty Analysis A random sample of 42 earthquakes that have occurred between January 2015 and September 2017 was selected. For each earthquake, the magnitude of the earthquake and the number of people killed was recorded. The data appear in the scatterplot below. #### Scatterplot Explanation: - **X-Axis (Horizontal)**: Represents the Magnitude of Earthquake. - **Y-Axis (Vertical)**: Represents the Number of People Killed. The scatterplot shows a collection of data points that correspond to the magnitude of earthquakes and the resulting number of fatalities. Observations from the scatterplot: - Most earthquakes with magnitudes below 5 tend to result in relatively fewer fatalities. - A noticeable increase in the number of casualties is evident as the earthquake magnitude rises above 5. - There is a significant outlier where an earthquake with a magnitude of around 6.5 resulted in a notably higher number of fatalities, exceeding 300. #### Assessment Question: Consider the scatterplot above. What is the correlation coefficient \( r \) equal to? - ○ 0.6 - ○ -0.6 - ○ 1.2 - ○ 0.02 Choose the correlation coefficient \( r \) that best describes the relationship between the magnitude of the earthquake and the number of people killed based on the given data points in the scatterplot. (Note: The correlation coefficient \( r \) quantifies the strength and direction of a linear relationship between two variables, with values ranging from -1 to 1. A positive value indicates a positive relationship, a negative value indicates a negative relationship, and values closer to 0 imply a weaker linear relationship.)
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