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
icon
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman