Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.0 Weight Click here to view a table of critical values for the correlation coefficient. A. Construct a scatterplot. Choose the correct graph below. O C. Aweight (kg) Q Aweight (kg) Q 300- REFE 100- 300 100 Aweight (kg) Q 7.7 9.8 109 174 245 width (cm) B. 300- 100- 9.3 8.9 8.2 196 205 188 width (cm) width (cm) O D. 300 Aweight (kg) Q 100- width (cm)
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.0 Weight Click here to view a table of critical values for the correlation coefficient. A. Construct a scatterplot. Choose the correct graph below. O C. Aweight (kg) Q Aweight (kg) Q 300- REFE 100- 300 100 Aweight (kg) Q 7.7 9.8 109 174 245 width (cm) B. 300- 100- 9.3 8.9 8.2 196 205 188 width (cm) width (cm) O D. 300 Aweight (kg) Q 100- width (cm)
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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### Task
1. **Construct a scatterplot:** Choose the correct graph below.
- A.
- B.
- C.
- D.
2. **Calculate the linear correlation coefficient \( r = \) \_\_\_
(Round to three decimal places as needed.)
3. **Identify the critical values \( r = \) \_\_\_
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
**Analysis:**
- Because the absolute value of the linear correlation coefficient is \_\_\_ than the positive critical value, there \_\_\_ sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals for a significance level of \( \alpha = 0.05 \).
### Table of Critical Values
| n | \( \alpha = 0.05 \) | \( \alpha = 0.01 \) |
|----|---------------------|---------------------|
| 3 | .997 | .990 |
| 4 | .950 | .917 |
| 5 | .878 | .805 |
| 6 | .811 | .729 |
| 7 | .754 | .669 |
| 8 | .707 | .632 |
| 9 | .666 | .602 |
|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff4f609e-581a-443b-8b38-f9a882250427%2F854a50f4-5094-4228-9b4b-2eb3c9e4509f%2F7h4qh9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Correlation and Scatterplot Analysis of Seal Measurements**
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient \( r \), and find the critical values of \( r \) using \( \alpha = 0.05 \). Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals?
| Overhead Width (cm) | 7.0 | 7.7 | 7.8 | 9.3 | 8.9 | 8.2 |
|---------------------|-----|-----|-----|-----|-----|-----|
| Weight (kg) | 109 | 174 | 245 | 196 | 205 | 188 |
[Click here to view a table of critical values for the correlation coefficient](#)
### Task
1. **Construct a scatterplot:** Choose the correct graph below.
- A.
- B.
- C.
- D.
2. **Calculate the linear correlation coefficient \( r = \) \_\_\_
(Round to three decimal places as needed.)
3. **Identify the critical values \( r = \) \_\_\_
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
**Analysis:**
- Because the absolute value of the linear correlation coefficient is \_\_\_ than the positive critical value, there \_\_\_ sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals for a significance level of \( \alpha = 0.05 \).
### Table of Critical Values
| n | \( \alpha = 0.05 \) | \( \alpha = 0.01 \) |
|----|---------------------|---------------------|
| 3 | .997 | .990 |
| 4 | .950 | .917 |
| 5 | .878 | .805 |
| 6 | .811 | .729 |
| 7 | .754 | .669 |
| 8 | .707 | .632 |
| 9 | .666 | .602 |
|
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