Compute the linear correlation coefficient with the additional data point. The linear correlation coefficient for the five pieces of data i

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Compute the linear correlation coefficient with the additional data point. The linear correlation coefficient for the five pieces of data is
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​(Round to three decimal places as​ needed.)
**Task: Analyzing Data Using Correlation Coefficients and Scatter Diagrams**

**Data Table:**
- \( x: \) 2.1, 4, 2.8, 4.8
- \( y: \) 3.8, 1.4, 3.6, 5

**Part (a): Compute the Linear Correlation Coefficient**
- The linear correlation coefficient for the four pieces of the given data is calculated as \( 0.073 \). (Rounded to three decimal places as needed.)

**Part (b): Draw a Scatter Diagram**
- With the additional data point (10.5, 9.4), choose the correct scatter diagram from the options below:

1. **Option A:**
   - A grid is displayed with points plotted according to the data set. The additional point might be visually identified.

2. **Option B:**
   - Another grid showing plotted data, which should match the new data point placement.

3. **Option C:**
   - A third possibility to compare the appropriateness of the added data point.

4. **Option D:**
   - The last grid, which may include the correct position of the new data point among the other plotted points.

- The task is to select the scatter diagram that accurately reflects the addition of (10.5, 9.4).

**Compute the Linear Correlation Coefficient with the Additional Data Point**
- With the five pieces of data, calculate the updated linear correlation coefficient. Enter your result rounded to three decimal places as necessary.
Transcribed Image Text:**Task: Analyzing Data Using Correlation Coefficients and Scatter Diagrams** **Data Table:** - \( x: \) 2.1, 4, 2.8, 4.8 - \( y: \) 3.8, 1.4, 3.6, 5 **Part (a): Compute the Linear Correlation Coefficient** - The linear correlation coefficient for the four pieces of the given data is calculated as \( 0.073 \). (Rounded to three decimal places as needed.) **Part (b): Draw a Scatter Diagram** - With the additional data point (10.5, 9.4), choose the correct scatter diagram from the options below: 1. **Option A:** - A grid is displayed with points plotted according to the data set. The additional point might be visually identified. 2. **Option B:** - Another grid showing plotted data, which should match the new data point placement. 3. **Option C:** - A third possibility to compare the appropriateness of the added data point. 4. **Option D:** - The last grid, which may include the correct position of the new data point among the other plotted points. - The task is to select the scatter diagram that accurately reflects the addition of (10.5, 9.4). **Compute the Linear Correlation Coefficient with the Additional Data Point** - With the five pieces of data, calculate the updated linear correlation coefficient. Enter your result rounded to three decimal places as necessary.
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