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
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
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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.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F913862dd-ac5f-4038-847e-173683e2f265%2Ffc60f077-e6ba-4752-b11b-7576d3993a63%2F5nqrnzt_processed.jpeg&w=3840&q=75)
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.]
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