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 ofr 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 Weight 7.1 7.7 114 181 9.9 9.2 8.7 8.1 179 249 196 200 Click here to view a table of critical values for the correlation coefficient. Construct a scatterplot. Choose the correct graph below. O B. Oc. c. OD. OD. Aweight (kg 300- Aweight (kg) 300 Aweight (kg) 300- Aweight (kg) 300 100 100 100 100 10 10 width (cm) width (cm) width (cm) width (om) The linear correlation coefficient is r= (Round to three decimal places as needed.)

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
Question
100%
**The critical values are \( r = \) [__________]**

*(Round to three decimal places as needed. Use a comma to separate answers as needed.)*

This instructional text is designed to guide students in determining the critical values for a given statistical analysis. Students should calculate or refer to a table to find these values and list them in the provided input field. The instructions clearly state that answers should be rounded to three decimal places and separated by commas if there are multiple values.
Transcribed Image Text:**The critical values are \( r = \) [__________]** *(Round to three decimal places as needed. Use a comma to separate answers as needed.)* This instructional text is designed to guide students in determining the critical values for a given statistical analysis. Students should calculate or refer to a table to find these values and list them in the provided input field. The instructions clearly state that answers should be rounded to three decimal places and separated by commas if there are multiple values.
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 the overhead widths of seals from photographs and the weights of the seals?

| Overhead Width (cm) | Weight (kg) |
|---------------------|-------------|
| 7.1                 | 114         |
| 7.7                 | 181         |
| 9.9                 | 249         |
| 9.2                 | 196         |
| 8.7                 | 200         |
| 8.1                 | 179         |

[Click here to view a table of critical values for the correlation coefficient.](#)

Construct a scatterplot. Choose the correct graph below.

- Option A: A scatterplot grid with width (cm) on the x-axis and weight (kg) on the y-axis.
- Option B: A different layout of a scatterplot similar to option A.
- Option C: Another variation of the scatterplot layout.
- Option D: Another variation of the scatterplot layout.

The linear correlation coefficient is \( r = \_\_\_\_\_\_ \) (Round to three decimal places as needed.)

--- 

**Explanation of Diagrams:**

There are four scatterplots labeled as options A, B, C, and D. Each plot has the "width (cm)" on the horizontal axis ranging from 7 to 10 and "weight (kg)" on the vertical axis ranging from 100 to 300. Blue dots represent individual data points plotted on these graphs to show the relationship between overhead width and weight of the seals. 

Further analysis is required to select the diagram that accurately represents the given data set and to calculate the correlation coefficient \( r \).
Transcribed Image Text: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 the overhead widths of seals from photographs and the weights of the seals? | Overhead Width (cm) | Weight (kg) | |---------------------|-------------| | 7.1 | 114 | | 7.7 | 181 | | 9.9 | 249 | | 9.2 | 196 | | 8.7 | 200 | | 8.1 | 179 | [Click here to view a table of critical values for the correlation coefficient.](#) Construct a scatterplot. Choose the correct graph below. - Option A: A scatterplot grid with width (cm) on the x-axis and weight (kg) on the y-axis. - Option B: A different layout of a scatterplot similar to option A. - Option C: Another variation of the scatterplot layout. - Option D: Another variation of the scatterplot layout. The linear correlation coefficient is \( r = \_\_\_\_\_\_ \) (Round to three decimal places as needed.) --- **Explanation of Diagrams:** There are four scatterplots labeled as options A, B, C, and D. Each plot has the "width (cm)" on the horizontal axis ranging from 7 to 10 and "weight (kg)" on the vertical axis ranging from 100 to 300. Blue dots represent individual data points plotted on these graphs to show the relationship between overhead width and weight of the seals. Further analysis is required to select the diagram that accurately represents the given data set and to calculate the correlation coefficient \( r \).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
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