The scatter chart below displays the residuals verses the dependent variable, x. Which of the following conclusions can be drawn from the scatter chart given below?
The scatter chart below displays the residuals verses the dependent variable, x. Which of the following conclusions can be drawn from the scatter chart given below?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Scatter Chart Analysis: Residuals vs. Dependent Variable**
The scatter chart below displays the residuals versus the dependent variable, \( x \). Analyze the following scatter chart to determine which conclusion can be drawn:
![Residual Plot]
**Graph Explanation:**
The scatter plot visualizes the residuals (\( e \)) on the y-axis against the independent variable (\( x \)) on the x-axis. The residuals are plotted as blue dots around a horizontal axis marked as 0. The pattern shows an increasing spread of residuals as the variable \( x \) increases, indicating a potential change in variance.
**Possible Conclusions:**
1. ○ The regression model follows the standard normal probability distribution.
2. ○ The residuals have an increasing variance as the dependent variable increases.
3. ○ The model captures the relationship between the variables accurately.
4. ○ The residual distribution is consistently scattered about zero.
Evaluate each statement and use the scatter chart to determine the most accurate conclusion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9045e4c-214a-4ed5-8350-6a40e5f22583%2Ff8f4733d-c217-41d8-b8d5-1c5addf2621c%2Frehqysr_processed.png&w=3840&q=75)
Transcribed Image Text:**Scatter Chart Analysis: Residuals vs. Dependent Variable**
The scatter chart below displays the residuals versus the dependent variable, \( x \). Analyze the following scatter chart to determine which conclusion can be drawn:
![Residual Plot]
**Graph Explanation:**
The scatter plot visualizes the residuals (\( e \)) on the y-axis against the independent variable (\( x \)) on the x-axis. The residuals are plotted as blue dots around a horizontal axis marked as 0. The pattern shows an increasing spread of residuals as the variable \( x \) increases, indicating a potential change in variance.
**Possible Conclusions:**
1. ○ The regression model follows the standard normal probability distribution.
2. ○ The residuals have an increasing variance as the dependent variable increases.
3. ○ The model captures the relationship between the variables accurately.
4. ○ The residual distribution is consistently scattered about zero.
Evaluate each statement and use the scatter chart to determine the most accurate conclusion.
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