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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 α = 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? 7.4 7.0 108 159 width (cm) 9.9 254 Overhead Width 9.4 Weight 201 Click here to view a table of critical values for the correlation coefficient. width (cm) 8.6 192 The linear correlation coefficient is r= 0.938. (Round to three decimal places as needed.) 8.3 192 width (cm) The critical values are r = (Round to three decimal places as needed. Use a comma to separate answers as needed.) 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 α = 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? 7.4 7.0 108 159 width (cm) 9.9 254 Overhead Width 9.4 Weight 201 Click here to view a table of critical values for the correlation coefficient. width (cm) 8.6 192 The linear correlation coefficient is r= 0.938. (Round to three decimal places as needed.) 8.3 192 width (cm) The critical values are r = (Round to three decimal places as needed. Use a comma to separate answers as needed.) width (cm)

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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Below is the data regarding the overhead widths (in cm) of seals measured from photographs and the corresponding weights (in kg) of the seals. **Data:** - Overhead Width (cm): 7.0, 7.4, 9.9, 9.4, 8.6, 8.3 - Weight (kg): 108, 159, 254, 201, 192, 192 **Task:** 1. **Construct a Scatterplot:** Plot the overhead widths on the x-axis and weights on the y-axis. 2. **Find the Linear Correlation Coefficient (r):** This measures the strength and direction of the linear relationship between the two variables. In this case, the calculated value is r = 0.938. 3. **Determine Critical Values for r:** Refer to a table of critical values for correlation coefficients with a significance level of α = 0.05 to evaluate the correlation. **Conclusion:** Evaluate if there is sufficient evidence to conclude that there is a significant linear correlation between the overhead widths of seals from photographs and their weights. **Graphs/Diagrams:** - A scatterplot should illustrate the relationship between the two variables. Each point on the graph represents a pair of measurements (width, weight). **Additional Resources:** - Click [here](#) to view a table of critical values for the correlation coefficient. **Notes:** - When evaluating the correlation, consider rounding the computed values to three decimal places. - Use comma separation if inputting multiple critical values.
Transcribed Image Text:Below is the data regarding the overhead widths (in cm) of seals measured from photographs and the corresponding weights (in kg) of the seals. **Data:** - Overhead Width (cm): 7.0, 7.4, 9.9, 9.4, 8.6, 8.3 - Weight (kg): 108, 159, 254, 201, 192, 192 **Task:** 1. **Construct a Scatterplot:** Plot the overhead widths on the x-axis and weights on the y-axis. 2. **Find the Linear Correlation Coefficient (r):** This measures the strength and direction of the linear relationship between the two variables. In this case, the calculated value is r = 0.938. 3. **Determine Critical Values for r:** Refer to a table of critical values for correlation coefficients with a significance level of α = 0.05 to evaluate the correlation. **Conclusion:** Evaluate if there is sufficient evidence to conclude that there is a significant linear correlation between the overhead widths of seals from photographs and their weights. **Graphs/Diagrams:** - A scatterplot should illustrate the relationship between the two variables. Each point on the graph represents a pair of measurements (width, weight). **Additional Resources:** - Click [here](#) to view a table of critical values for the correlation coefficient. **Notes:** - When evaluating the correlation, consider rounding the computed values to three decimal places. - Use comma separation if inputting multiple critical values.
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