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The critical values are r= (Round to three decimal places as needed. Use a comma to separate answers as needed.)

The critical values are r= (Round to three decimal places as needed. Use a comma to separate answers as needed.)

MATLAB: An Introduction with Applications
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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### Analyzing the Correlation Between Seal Measurements Below is an analysis exploring the relationship between the overhead widths (in cm) of seals measured from photographs and their weights (in kg). #### Data Set - **Overhead Width (cm):** 7.2, 7.6, 9.8, 9.2, 8.8, 8.3 - **Weight (kg):** 115, 176, 249, 195, 200, 192 #### Instructions 1. **Plot a Scatterplot**: The exercise requires constructing a scatterplot to visualize the relationship between the seal's width and weight. 2. **Correlation Coefficient (r)**: Calculate the linear correlation coefficient to measure the strength and direction of a linear relationship between two variables. 3. **Critical Values**: Determine critical values to assess the statistical significance of the correlation at a significance level (α) of 0.01. #### Graphical Analysis - **Correct Scatterplot Choice**: Graph B is the correct scatterplot, as it accurately depicts the positive relationship between width and weight, with data points closely fitting a linear trend. #### Calculations - **Linear Correlation Coefficient (r)**: - Calculated value: \( r = 0.906 \). - This indicates a strong positive correlation between the width and weight of seals. - **Critical Values \( r = \) _____**: - Values need to be rounded to three decimal places. Use these concepts to determine if there is sufficient evidence to conclude a linear correlation between the overhead widths from photographs and seal weights.
Transcribed Image Text:### Analyzing the Correlation Between Seal Measurements Below is an analysis exploring the relationship between the overhead widths (in cm) of seals measured from photographs and their weights (in kg). #### Data Set - **Overhead Width (cm):** 7.2, 7.6, 9.8, 9.2, 8.8, 8.3 - **Weight (kg):** 115, 176, 249, 195, 200, 192 #### Instructions 1. **Plot a Scatterplot**: The exercise requires constructing a scatterplot to visualize the relationship between the seal's width and weight. 2. **Correlation Coefficient (r)**: Calculate the linear correlation coefficient to measure the strength and direction of a linear relationship between two variables. 3. **Critical Values**: Determine critical values to assess the statistical significance of the correlation at a significance level (α) of 0.01. #### Graphical Analysis - **Correct Scatterplot Choice**: Graph B is the correct scatterplot, as it accurately depicts the positive relationship between width and weight, with data points closely fitting a linear trend. #### Calculations - **Linear Correlation Coefficient (r)**: - Calculated value: \( r = 0.906 \). - This indicates a strong positive correlation between the width and weight of seals. - **Critical Values \( r = \) _____**: - Values need to be rounded to three decimal places. Use these concepts to determine if there is sufficient evidence to conclude a linear correlation between the overhead widths from photographs and seal weights.
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