### Educational Content for Correlation Coefficient Analysis#### Problem DescriptionUsing the given data set, complete parts (a) through (c) below (α = 0.05).#### Data Set:| \(x\) |10| 8 | 13 | 9 | 11 | 14 | 6 | 4 | 12 | 7 | 5 ||-----|---|---|----|---|----|----|---|---|----|---|---|| \(y\) |7.46| 6.77 | 7.74 | 7.11 | 7.81 | 8.84 | 6.09 | 5.39 | 8.14 | 6.43 | 5.72 |### Step b: Find the Linear Correlation Coefficient#### Linear Correlation Coefficient Calculation:The linear correlation coefficient \( r \) is computed and found to be: \[ r = 0.816 \]*The result is rounded to three decimal places.*### Interpretation:Based on the linear correlation coefficient \( r \) obtained, we analyze whether there is sufficient evidence to support the claim of a linear correlation between the two variables.### Graphical Representations:- **Graph A**: Plots \( x \) against \( y \) (appears nonlinear).- **Graph B**: Plots \( x \) against \( y \) (appears linear). \\ **This graph is marked as the correct one based on the analysis.**- **Graph C**: Plots \( x \) against \( y \) (appears negatively correlated and nonlinear).- **Graph D**: Plots \( x \) against \( y \) (appears parabolic).### Conclusion Based on Linear Correlation Coefficient:Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.#### Options for Conclusion:A. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables.B. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables.C. There is insufficient evidence to support the claim of a linear correlation between the two variables.D. There is sufficient evidence to support the claim of a linear correlation between the two variables.#### Correct Answer:D. There is sufficient evidence

The following data for the X and Y variables are provided to find the sample correlation…

Click here to view a table of critical values for the correlation coefficient. B. Oc. OD. 16 16 16 16- 12- 12 12- 12- 8- 8- *.. 4- 12 16 12 16 12 16 12 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= 0.816. (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. O A. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. O B. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables. OC. There is insufficient evidence to support the claim of a linear correlation between the two variables. O D. There is sufficient evidence to support the claim of a linear correlation between the two variables.

Click here to view a table of critical values for the correlation coefficient. B. Oc. OD. 16 16 16 16- 12- 12 12- 12- 8- 8- *.. 4- 12 16 12 16 12 16 12 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= 0.816. (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. O A. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. O B. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables. OC. There is insufficient evidence to support the claim of a linear correlation between the two variables. O D. There is sufficient evidence to support the claim of a linear correlation between the two variables.

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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Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (2,9) and find the correlation coefficient r and determine whether there is a linear correlation. 10- d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. AY Table of critical values 10 a. Do the data points appear to have a strong linear correlation? a = 05 a = 01 No 4. .950 990 878 959 V Yes 811 .917 7. .754 875 b. What is the value of the correlation coefficient for all 10 data points? 707 834 .666 .798 T=-0.906 (Simplify your answer. Round to three decimal places as needed.) 10 .632 765 11 .602 735 12 576 708 13 553 .684 532 .661 14 514 .641 15 Print Done Check answer…
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