Compute the linear correlation coefficient with the additional data point. The linear correlation coefficient for the five pieces of data i
Compute the linear correlation coefficient with the additional data point. The linear correlation coefficient for the five pieces of data i
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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Compute the linear correlation coefficient with the additional data point. The linear correlation coefficient for the five pieces of data is
enter your response here.
(Round to three decimal places as needed.)

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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