Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 13 8.73 X y UM AY Click here to view a table of critical values for the correlation coefficient. 104 8- 6- 4- 10 9.14 2- 04 0 00000 ...... 8 8.13 12 16 Q a UD. AY 10-1 8- 6- 4 2- 14 04 0 9 8.76 ........... 4 8 12 16 Q Q C 11 9.25 14 8.11 US Ay 10+ 8- 64 4- 2- 0- 6 6.13 12 16 Q Q 4 3.09 5.9. AY 12 9.14 104 8- 6- 4- 24 0- 0 8 12 16 7 7.26 Q Q G 5 4.73
Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 13 8.73 X y UM AY Click here to view a table of critical values for the correlation coefficient. 104 8- 6- 4- 10 9.14 2- 04 0 00000 ...... 8 8.13 12 16 Q a UD. AY 10-1 8- 6- 4 2- 14 04 0 9 8.76 ........... 4 8 12 16 Q Q C 11 9.25 14 8.11 US Ay 10+ 8- 64 4- 2- 0- 6 6.13 12 16 Q Q 4 3.09 5.9. AY 12 9.14 104 8- 6- 4- 24 0- 0 8 12 16 7 7.26 Q Q G 5 4.73
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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Transcribed Image Text:**Transcription for Educational Website**
### Data Set and Analysis
Use the given data set to complete parts (a) through (c) below. (Use α = 0.05).
| x | 10 | 8 | 13 | 9 | 11 | 14 | 6 | 4 | 12 | 7 | 5 |
|----|-----|----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| y | 9.14| 8.13| 8.73| 8.76| 9.25| 8.11| 6.13| 3.09| 9.14| 7.26| 4.73|
**Note:** Click here to view a table of critical values for the correlation coefficient.
### Graphical Analysis
The provided graphs (A, B, C, D) display the relationship between the variables 'x' and 'y' in the data set:
- **Graph A:**
- The graph is a scatter plot with nine points.
- It shows a positive linear trend, indicating a potential positive correlation between 'x' and 'y'.
- **Graph B:**
- This graph is also a scatter plot with nine points.
- It portrays a strong negative linear trend, suggesting a negative correlation between 'x' and 'y'.
- **Graph C:**
- The scatter plot has nine points, appearing to be random with no obvious trend.
- The data suggests no clear correlation between 'x' and 'y'.
- **Graph D:**
- The plot consists of nine points with a distinct curve.
- It indicates a possible non-linear relationship between 'x' and 'y', with an upward curve.
Each graph is accompanied by tools to zoom in and out for better visualization.

Transcribed Image Text:**Use the given data set to complete parts (a) through (c) below. (Use α = 0.05.)**
| x | 10 | 8 | 13 | 9 | 11 | 14 | 6 | 4 | 12 | 7 | 5 |
|----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| y | 9.14| 8.13| 8.73| 8.76| 9.25| 8.11| 6.13| 3.09| 9.14| 7.26| 4.73|
Click here to view a table of critical values for the correlation coefficient.
---
The linear correlation coefficient is r =
(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.
- A. There is insufficient evidence to support the claim of a linear correlation between the two variables.
- B. There is sufficient evidence to support the claim of a linear correlation between the two variables.
- C. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables.
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