MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**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.
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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 \( r \).
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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 \( r \).
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