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The regression line that gives the linear relationship between the magnitude of the earthquake and the number of people killed is predicted number of people killed = -114 + 35.4(magnitude of the earthquake). The Mexico earthquake was magnitude 7.1; use the regression line to predict the number of people killed for a 7.1 magnitude earthquake. 59.46 91.32 34.52 137.4

The regression line that gives the linear relationship between the magnitude of the earthquake and the number of people killed is predicted number of people killed = -114 + 35.4(magnitude of the earthquake). The Mexico earthquake was magnitude 7.1; use the regression line to predict the number of people killed for a 7.1 magnitude earthquake. 59.46 91.32 34.52 137.4

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
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### Earthquake Magnitude and Casualties Analysis A random sample of 42 earthquakes that have occurred between January 2015 and September 2017 was selected. For each earthquake, the magnitude and the number of people killed were recorded. The data is presented in the scatterplot below: #### Scatterplot Description The scatterplot shows the relationship between the magnitude of an earthquake (x-axis) and the number of people killed (y-axis). Each red dot represents an individual earthquake, plotting its magnitude against the associated number of fatalities. - The x-axis is labeled "Magnitude of Earthquake" ranging from 0 to 10. - The y-axis is labeled "Number of People Killed" ranging from -150 to 400. The trend observed in the scatterplot indicates that as earthquake magnitude increases, the number of fatalities also tends to increase, particularly noticeable for magnitudes above 5. #### Regression Analysis The regression line representing the linear relationship between the earthquake magnitude and the number of fatalities is given by: \[ \text{Predicted number of people killed} = -114 + 35.4 \times (\text{Magnitude of the earthquake}) \] **Example Calculation:** To predict the number of people killed in a 7.1 magnitude earthquake, substitute the magnitude into the regression equation: \[ \text{Predicted number of people killed} = -114 + 35.4 \times 7.1 \] \[ \text{Predicted number of people killed} = -114 + 251.34 \] \[ \text{Predicted number of people killed} = 137.34 \] Therefore, for a 7.1 magnitude earthquake, the regression model predicts approximately 137.34 fatalities. ### Quiz Using the regression line, predict the number of people killed for a 7.1 magnitude earthquake: - 59.46 - 91.32 - 34.52 - 137.4 **Correct Answer: 137.4**
Transcribed Image Text:### Earthquake Magnitude and Casualties Analysis A random sample of 42 earthquakes that have occurred between January 2015 and September 2017 was selected. For each earthquake, the magnitude and the number of people killed were recorded. The data is presented in the scatterplot below: #### Scatterplot Description The scatterplot shows the relationship between the magnitude of an earthquake (x-axis) and the number of people killed (y-axis). Each red dot represents an individual earthquake, plotting its magnitude against the associated number of fatalities. - The x-axis is labeled "Magnitude of Earthquake" ranging from 0 to 10. - The y-axis is labeled "Number of People Killed" ranging from -150 to 400. The trend observed in the scatterplot indicates that as earthquake magnitude increases, the number of fatalities also tends to increase, particularly noticeable for magnitudes above 5. #### Regression Analysis The regression line representing the linear relationship between the earthquake magnitude and the number of fatalities is given by: \[ \text{Predicted number of people killed} = -114 + 35.4 \times (\text{Magnitude of the earthquake}) \] **Example Calculation:** To predict the number of people killed in a 7.1 magnitude earthquake, substitute the magnitude into the regression equation: \[ \text{Predicted number of people killed} = -114 + 35.4 \times 7.1 \] \[ \text{Predicted number of people killed} = -114 + 251.34 \] \[ \text{Predicted number of people killed} = 137.34 \] Therefore, for a 7.1 magnitude earthquake, the regression model predicts approximately 137.34 fatalities. ### Quiz Using the regression line, predict the number of people killed for a 7.1 magnitude earthquake: - 59.46 - 91.32 - 34.52 - 137.4 **Correct Answer: 137.4**
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