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 \( \alpha = 0.1 \). 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 | 7.5 | 9.7 | 9.3 | 8.6 | 8.2 ||---------------------|-----|-----|-----|-----|-----|-----|| Weight (kg) | 108 | 154 | 245 | 200 | 197 | 185 |[Click here to view a table of critical values for the correlation coefficient]**Graphs and Diagrams:**1. **Scatterplot A**: - X-axis labeled as "width (cm)" - Y-axis labeled as "weight (kg)" - Data points show some correlation between width and weight.2. **Scatterplot B**: - Another representation with similar axes. - Data points may vary in distribution compared to A.3. **Scatterplot C**: - X-axis labeled as "width (cm)" - Y-axis labeled as "weight (kg)" - Distinct data distribution.4. **Scatterplot D**: - Similar axes with width and weight. - Data distribution may differ from the others.**Task:**The linear correlation coefficient is \( r = \) (Round to three decimal places as needed.)Enter your answer in the answer box and then click Check Answer.2 parts remaining.

Solution: n= 6 observation Let x= Overhead Width y = Weight The figure B is the correct scatter diagram for overhead Width and weight To find correlation coefficient r x y x y2 xy 7 108 49 11664 756 7.5 154 56.25 23716 1155 9.7 245 94.09 60025 2376.5 9.3 200 86.49 40000 1860 8.6 197 73.96 38809 1694.2 8.2 185 67.24 34225 1517 Total 50.3 1089 427.03 208439 9358.7 r=n∑xy- (∑x)×(∑y)(n∑x2-(∑x)2)×(n∑y2-(∑y)2r=6×9358.7-50.3×1089(6×427.03-50.32)×(6×208439-10892)r=56152.2-54776.7(2562.18-2530.09)×(1250634-1185921)r=1375.532.09×64713r=1375.52076640r=1375.51441.055=0.954509r= 0.955 To test the hypothesis Ho:ρ=0 VS Ha:ρ≠0 Test statistic t=r×n-21-r2t=0.955×6-21-0.9552t= 0.955×41-0.912025t=0.955×20.087975t= 1.910.2966057=6.4395256t = 6.440 The t critical value at α=0.01 is tα/2,n-2=t0.005,4=4.604 From t table The t critical value is 4.604 Decision : t > t critical 6.4015 > 4.604 Reject Ho Conclusion : Reject Ho there is sufficient evidence to conclude that there is correlation between overhead width of seals from photograph and the weights of the seals

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afe 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 =0.01 Is there sufficient evidence to conclude that there is a linear conelation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.0 108 7.5 9.7 9.3 200 8.6 8.2 185 Click here to view a table of critical values for the correlation coefficient Weight 154 245 197 Aght kg) 300 weight (ka) 300- Aweight (kgl 300 Amaight kg) 300 1004 100 180 10 width (om) 10 width cen) 10 width (om) width (am The linear correlation coofficient is r= (Round to three decimal places as needed) Enter your answer in the answer box and then click Check Answer,

afe 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 =0.01 Is there sufficient evidence to conclude that there is a linear conelation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.0 108 7.5 9.7 9.3 200 8.6 8.2 185 Click here to view a table of critical values for the correlation coefficient Weight 154 245 197 Aght kg) 300 weight (ka) 300- Aweight (kgl 300 Amaight kg) 300 1004 100 180 10 width (om) 10 width cen) 10 width (om) width (am The linear correlation coofficient is r= (Round to three decimal places as needed) Enter your answer in the answer box and then click Check Answer,

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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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=0.01. 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 7.1 7.5 9.6 9.3 8.7 8.2 Weight 115 193 237 196 198 186
what are the critical values r =?
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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 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 7.1 7.5 178 Click here to view a table of critical values for the correlation coefficient. 9.6 9.4 8.8 8.2 Weight 112 205 238 204 188 OA. YB. OC. KD D. Aweight (kg) 300- A weight (kg) Aweight (kg) 300- Aweight (kg) 300- 300- .. 100 100+ 100 7. rect: 0 10 10 10 10 width (om) width (cm) width (on) widn (om) The linear correlation coefficient is r= (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. O parts remaining Check Answer वी
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 = 0.01. 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 7.2 7.5 9.8 9.3 8.9 8.1 Weight 119 172 248 201 205 181 Click here to view a table of critical values for the correlation coefficient. Construct a scatterplot. Choose the correct graph below. A. В. OC. D. Aweight (kg) 300- Aweight (kg) 300- Aweight (kg) 300- Aweight (kg) 300- 100+ 1004 100- 100+ 10 7 10 7 10 7 10 width (cm) width (cm) width (cm) width (cm) The linear correlation coefficient is r= (Round to three decimal places as needed.) The critical values are r= (Round to three decimal places as needed. Use a comma to separate answers as needed.) Because the absolute…
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=0.01. 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 7.1 7.6 9.7 9.4 8.8 8.2 Weight 111 198 246 204 202 185 Construct a scatterplot. Choose the correct graph below. (inserted as picture) The linear correlation coefficient is r=__________ (Round to three decimal places as needed.) The critical values are r= (_______,________) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Because the absolute value of the linear correlation coefficient is (greater,less than, equal to) than the positive…
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