The data below was collected from manufacturer advertisements of their vehicles horsepower and highway gas mileage (mpg.). Use this data to answer the following questions. 390 350 15 17 220 35 42 158 250 340 190 y 33 28 11 1. Find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg). Record the p-value below. Round to four decimal places. p-value = 2. Is there a linear correlation between horsepower and highway gas mileage (mpg)? 3. If there is a linear correation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places.

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
icon
Concept explainers
Question
The data below was collected from manufacturer advertisements of their vehicles horsepower and highway gas mileage (mpg.). Use this data to answer the following questions.

| x  | 158 | 250 | 340 | 350 | 390 | 190 | 220 |
|----|-----|-----|-----|-----|-----|-----|-----|
| y  | 33  | 28  | 15  | 17  | 11  | 35  | 42  |

1. **Find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg). Record the p-value below. Round to four decimal places.**
   - p-value = [________]

2. **Is there a linear correlation between horsepower and highway gas mileage (mpg)?**
   - [Yes/No]

3. **If there is a linear correlation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places.**
   - r = [________]

4. **If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places.**
   - ŷ = [________]

5. **Using the data shown above, predict the highway gas mileage (mpg) for a car that has a horsepower of 225. Round your final answer to two decimal places.**
   - [________]

6. **If there is a linear correlation, what percentage of variation in highway gas mileage (mpg) can be explained by horsepower? If there is not a linear correlation, leave it blank. Round your final answer to two decimal places.**
   - [________]%

**Explanation of the Table:**
- The "x" row represents the horsepower values for different vehicles.
- The "y" row represents the corresponding highway gas mileage (mpg) for those vehicles. 

The questions guide the process of determining the correlation and creating a linear regression model if applicable.
Transcribed Image Text:The data below was collected from manufacturer advertisements of their vehicles horsepower and highway gas mileage (mpg.). Use this data to answer the following questions. | x | 158 | 250 | 340 | 350 | 390 | 190 | 220 | |----|-----|-----|-----|-----|-----|-----|-----| | y | 33 | 28 | 15 | 17 | 11 | 35 | 42 | 1. **Find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg). Record the p-value below. Round to four decimal places.** - p-value = [________] 2. **Is there a linear correlation between horsepower and highway gas mileage (mpg)?** - [Yes/No] 3. **If there is a linear correlation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places.** - r = [________] 4. **If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places.** - ŷ = [________] 5. **Using the data shown above, predict the highway gas mileage (mpg) for a car that has a horsepower of 225. Round your final answer to two decimal places.** - [________] 6. **If there is a linear correlation, what percentage of variation in highway gas mileage (mpg) can be explained by horsepower? If there is not a linear correlation, leave it blank. Round your final answer to two decimal places.** - [________]% **Explanation of the Table:** - The "x" row represents the horsepower values for different vehicles. - The "y" row represents the corresponding highway gas mileage (mpg) for those vehicles. The questions guide the process of determining the correlation and creating a linear regression model if applicable.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
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.
Similar questions
  • SEE MORE 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