For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of eleven types of automobile, the linear correlation coefficient is found and the P-value is 0.032. Write a statement that interprets the P-value and includes a conclusion about linear correlation. The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is %, which is v so there v sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles. (Type an integer or a decimal. Do not round.)

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
Topic Video
Question

6

**Linear Correlation in Automobile Data**

In an analysis of weights (pounds) and highway fuel consumption amounts (mpg) for eleven types of automobiles, the linear correlation coefficient is calculated, and the P-value is found to be 0.032. 

To understand the significance of this P-value, consider the following interpretation:

**The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is [insert text box for user input]%, which is [dropdown menu for user selection] so there [dropdown menu for user selection] sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles. (Type an integer or a decimal. Do not round.)**

In this context:
- **Insert text box for user input**: Place to enter the computed percentage value derived from the P-value.
- **Dropdown menu for user selection**: Options that typically signify the interpretation of the P-value (for example, indicating whether it is less than or greater than a common alpha level like 0.05).
- **Dropdown menu for user selection**: Choices indicating whether there is or isn’t sufficient evidence to conclude a linear correlation based on the P-value.

This setup allows users to actively engage with the material, fostering a deeper understanding of the interpretation of P-values in correlation analysis.

(Note: There are no graphs or diagrams in this image to describe.)
Transcribed Image Text:**Linear Correlation in Automobile Data** In an analysis of weights (pounds) and highway fuel consumption amounts (mpg) for eleven types of automobiles, the linear correlation coefficient is calculated, and the P-value is found to be 0.032. To understand the significance of this P-value, consider the following interpretation: **The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is [insert text box for user input]%, which is [dropdown menu for user selection] so there [dropdown menu for user selection] sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles. (Type an integer or a decimal. Do not round.)** In this context: - **Insert text box for user input**: Place to enter the computed percentage value derived from the P-value. - **Dropdown menu for user selection**: Options that typically signify the interpretation of the P-value (for example, indicating whether it is less than or greater than a common alpha level like 0.05). - **Dropdown menu for user selection**: Choices indicating whether there is or isn’t sufficient evidence to conclude a linear correlation based on the P-value. This setup allows users to actively engage with the material, fostering a deeper understanding of the interpretation of P-values in correlation analysis. (Note: There are no graphs or diagrams in this image to describe.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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