OA OB. AY 10 10- 8- Ay 10- 10- 8- 6- 8- 8- 6- ..... e.. 6- 6- 44 4- 4- 4- 2- 2- 2+ 2- ..... ··· 4. 12 16 12 16 4. 8. 12 16 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= (Round to three decimal places as needed.) Get more help - Clear all

MATLAB: An Introduction with Applications
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**Educational Transcription: Linear Correlation Coefficient**

**Data Set:**
- \( x \): 10, 8, 9, 11, 14, 6, 4, 12, 7, 5
- \( y \): 9.13, 8.13, 8.75, 8.76, 9.26, 8.09, 6.13, 3.11, 9.13, 7.26, 4.74

**Task:**
Use the given data set to complete parts (a) through (c) below. (Use \(\alpha = 0.05\)).

**Graphs:**
Four scatter plots (labeled A, B, C, D) are provided, each depicting a different correlation relationship between variables \( x \) and \( y \).

**b. Linear Correlation Coefficient:**
- 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.

**Note:**
The linear correlation coefficient is \( r = \underline{\phantom{000}} \). (Round to three decimal places as needed).

**Instructions:**
Click "here" to view a table of critical values for the correlation coefficient.

**Graphs Explanation:**
- **Graph A:** Shows a positive linear trend.
- **Graph B:** Displays a negative linear trend.
- **Graph C:** Suggests a stronger positive linear relationship than A.
- **Graph D:** Exhibits a curved trend indicating a possible non-linear relationship.

For further assistance, click on "Get more help."
Transcribed Image Text:**Educational Transcription: Linear Correlation Coefficient** **Data Set:** - \( x \): 10, 8, 9, 11, 14, 6, 4, 12, 7, 5 - \( y \): 9.13, 8.13, 8.75, 8.76, 9.26, 8.09, 6.13, 3.11, 9.13, 7.26, 4.74 **Task:** Use the given data set to complete parts (a) through (c) below. (Use \(\alpha = 0.05\)). **Graphs:** Four scatter plots (labeled A, B, C, D) are provided, each depicting a different correlation relationship between variables \( x \) and \( y \). **b. Linear Correlation Coefficient:** - 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. **Note:** The linear correlation coefficient is \( r = \underline{\phantom{000}} \). (Round to three decimal places as needed). **Instructions:** Click "here" to view a table of critical values for the correlation coefficient. **Graphs Explanation:** - **Graph A:** Shows a positive linear trend. - **Graph B:** Displays a negative linear trend. - **Graph C:** Suggests a stronger positive linear relationship than A. - **Graph D:** Exhibits a curved trend indicating a possible non-linear relationship. For further assistance, click on "Get more help."
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