The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? Selling Price (x) List Price (y) 402 300 375 434 457 477 315 353 420 332 413 320 390 440 486 476 322 366 431 343

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

Please explain the test statistic t 

The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. Construct a scatterplot, find the value of the linear correlation coefficient \( r \), and find the P-value using \( \alpha = 0.05 \). Is there sufficient evidence to conclude that there is a linear correlation between the two variables?

| Selling Price (x) | 402 | 300 | 375 | 434 | 457 | 477 | 315 | 353 | 420 | 332 |
|--------------------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| List Price (y)     | 413 | 320 | 390 | 440 | 486 | 476 | 322 | 366 | 431 | 343 |

### Hypotheses:
- \( H_0: \rho = 0 \)
- \( H_1: \rho \neq 0 \)

### Construct a scatterplot. Choose the correct graph below:
- **A.**
- **B.**
- **C.**
- **D.** (Correct answer)

### Calculation Results:
- The linear correlation coefficient \( r \) is **0.991**.  
  *(Round to three decimal places as needed.)*

- The test statistic \( t \) is **?**  
  *(Round to three decimal places as needed.)*

### Instructions:
Enter your answer in the answer box and then click Check Answer. 

[Note: In the scatterplot (D), data points show a clear positive correlation, indicating a strong linear relationship between selling price and list price.]
Transcribed Image Text:The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. Construct a scatterplot, find the value of the linear correlation coefficient \( r \), and find the P-value using \( \alpha = 0.05 \). Is there sufficient evidence to conclude that there is a linear correlation between the two variables? | Selling Price (x) | 402 | 300 | 375 | 434 | 457 | 477 | 315 | 353 | 420 | 332 | |--------------------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----| | List Price (y) | 413 | 320 | 390 | 440 | 486 | 476 | 322 | 366 | 431 | 343 | ### Hypotheses: - \( H_0: \rho = 0 \) - \( H_1: \rho \neq 0 \) ### Construct a scatterplot. Choose the correct graph below: - **A.** - **B.** - **C.** - **D.** (Correct answer) ### Calculation Results: - The linear correlation coefficient \( r \) is **0.991**. *(Round to three decimal places as needed.)* - The test statistic \( t \) is **?** *(Round to three decimal places as needed.)* ### Instructions: Enter your answer in the answer box and then click Check Answer. [Note: In the scatterplot (D), data points show a clear positive correlation, indicating a strong linear relationship between selling price and list price.]
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
Hypothesis Tests and Confidence Intervals for Means
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