400 350 300 250 200 150 100 50 0 2 4 6 8 9 10 -50 -100 -150 Magnitude of Earthquake 9 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). Which of the following is the correct interpretation of the slope of this regression line? If the number of people killed increases by 1 person, then the predicted magnitude of the earthquake increases by 35.4 If the magnitude of the earthquake increases by 1, then the predicted number of people killed decreases by 114 If the magnitude of the earthquake increases by 35.4, then the predicted number of people killed decreases by 114 If the number of people killed increases by 1 person, then the predicted magnitude of the earthquake decreases by 114 If the magnitude of the earthquake increases by 1, then the predicted number of people killed increases by 35.4 3 7

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### Graph and Regression Analysis of Earthquake Impact

#### Graph Explanation

The graph depicted above shows the relationship between the magnitude of an earthquake and the number of people killed. The x-axis represents the magnitude of the earthquake, ranging from 0 to 10, while the y-axis represents the number of people killed, ranging from -150 to 400. Each red diamond represents individual data points where the magnitude of the earthquake and the corresponding number of fatalities are observed.

Key observations include:
- A general trend where a higher magnitude correlates with a higher number of fatalities.
- As the earthquake magnitude increases beyond 4, there is a noticeable increase in the number of people killed.

#### Regression Line Interpretation

The regression line that defines the linear relationship between earthquake magnitude and the number of people killed is given by:
\[ \text{predicted number of people killed} = -114 + 35.4 \times \text{(magnitude of the earthquake)} \]

#### Multiple Choice Question

**Question 9:**
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). Which of the following is the correct interpretation of the slope of this regression line?

Options:
- a) If the number of people killed increases by 1 person, then the predicted magnitude of the earthquake increases by 35.4
- b) If the magnitude of the earthquake increases by 1, then the predicted number of people killed decreases by 114
- c) If the magnitude of the earthquake increases by 35.4, then the predicted number of people killed decreases by 114
- d) If the number of people killed increases by 1 person, then the predicted magnitude of the earthquake decreases by 114
- e) If the magnitude of the earthquake increases by 1, then the predicted number of people killed increases by 35.4

**Correct Answer:**
- **e) If the magnitude of the earthquake increases by 1, then the predicted number of people killed increases by 35.4**

This interpretation relies on understanding that the slope (35.4) indicates the change in the predicted number of people killed for each unit increase in the magnitude of the earthquake.
Transcribed Image Text:### Graph and Regression Analysis of Earthquake Impact #### Graph Explanation The graph depicted above shows the relationship between the magnitude of an earthquake and the number of people killed. The x-axis represents the magnitude of the earthquake, ranging from 0 to 10, while the y-axis represents the number of people killed, ranging from -150 to 400. Each red diamond represents individual data points where the magnitude of the earthquake and the corresponding number of fatalities are observed. Key observations include: - A general trend where a higher magnitude correlates with a higher number of fatalities. - As the earthquake magnitude increases beyond 4, there is a noticeable increase in the number of people killed. #### Regression Line Interpretation The regression line that defines the linear relationship between earthquake magnitude and the number of people killed is given by: \[ \text{predicted number of people killed} = -114 + 35.4 \times \text{(magnitude of the earthquake)} \] #### Multiple Choice Question **Question 9:** 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). Which of the following is the correct interpretation of the slope of this regression line? Options: - a) If the number of people killed increases by 1 person, then the predicted magnitude of the earthquake increases by 35.4 - b) If the magnitude of the earthquake increases by 1, then the predicted number of people killed decreases by 114 - c) If the magnitude of the earthquake increases by 35.4, then the predicted number of people killed decreases by 114 - d) If the number of people killed increases by 1 person, then the predicted magnitude of the earthquake decreases by 114 - e) If the magnitude of the earthquake increases by 1, then the predicted number of people killed increases by 35.4 **Correct Answer:** - **e) If the magnitude of the earthquake increases by 1, then the predicted number of people killed increases by 35.4** This interpretation relies on understanding that the slope (35.4) indicates the change in the predicted number of people killed for each unit increase in the magnitude of the earthquake.
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