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

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**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:**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.
**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.
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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