b. Find the linear correlation coefficient, r, then determine whether there 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 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 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. VD. There sufficient evidence support the claim of a linear correlation between the two variables. c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. O A. The scatterplot does not reveal a perfect straight-line pattern. O B. The scatterplot reveals a perfect straight-line pattern and does not contain any outliers. OC. The scatterplot does not reveal a perfect straight-line pattern, and contains one outlier. O D. The scatterplot reveals a perfect straight-line pattern, except for the presence of one outlier.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Correlation Analysis and Interpretation**

Use the given data set to complete parts (a) through (c) below. (Use α = 0.05.)

| | 7 | 9 | 11 | 14 | 6 | 4 | 12 | 7 | 5 |
| :--: | :--: | :--: | :--: | :--: | :--: | :--: | :--: | :--: | :--: |
| **x** | 7.46 | 6.77 | 12.74 | 7.11 | 7.81 | 8.84 | 6.09 | 5.39 |
| **y** | 7.11 | 7.81 | 8.84 | 6.09 | 5.39 | 8.14 | 6.43 | 5.72 |

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

**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.**

\( \mathbf{D} \). There is sufficient evidence to support the claim of a linear correlation between the two variables.

**c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below.**

\( \mathbf{C} \). The scatterplot does not reveal a perfect straight-line pattern and contains one outlier.

---

**Graphs and Diagrams Explanation:**

1. **Scatterplot Observations (a):**
   - The scatterplot in part (a) shows points that are generally clustered around a straight line, suggesting a potential linear relationship between the two variables.
   
2. **Scatterplots and Distribution (a):**
   - Left Graph: Data points are widely dispersed, suggesting no apparent pattern or correlation.
   - Middle Graph: Data points form a tight linear pattern, indicating a strong correlation.
   - Right Graph: Data points are clustered but still form an evident
Transcribed Image Text:**Correlation Analysis and Interpretation** Use the given data set to complete parts (a) through (c) below. (Use α = 0.05.) | | 7 | 9 | 11 | 14 | 6 | 4 | 12 | 7 | 5 | | :--: | :--: | :--: | :--: | :--: | :--: | :--: | :--: | :--: | :--: | | **x** | 7.46 | 6.77 | 12.74 | 7.11 | 7.81 | 8.84 | 6.09 | 5.39 | | **y** | 7.11 | 7.81 | 8.84 | 6.09 | 5.39 | 8.14 | 6.43 | 5.72 | **a.** Click here to view a table of critical values for the correlation coefficient. **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.** \( \mathbf{D} \). There is sufficient evidence to support the claim of a linear correlation between the two variables. **c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below.** \( \mathbf{C} \). The scatterplot does not reveal a perfect straight-line pattern and contains one outlier. --- **Graphs and Diagrams Explanation:** 1. **Scatterplot Observations (a):** - The scatterplot in part (a) shows points that are generally clustered around a straight line, suggesting a potential linear relationship between the two variables. 2. **Scatterplots and Distribution (a):** - Left Graph: Data points are widely dispersed, suggesting no apparent pattern or correlation. - Middle Graph: Data points form a tight linear pattern, indicating a strong correlation. - Right Graph: Data points are clustered but still form an evident
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