The following bivariate data set contains an outlier. Enter the data into StatCrunch. Using it's graphing ability, draw a scatter plot of the data. Sketch the plot on your paper in your notebook. y 61 -374 65 -15 67 -296 76 817 63 -989 67 -510 121 -6407 What is the correlation coefficient with the outlier? Use StatCrunch. rwith {3 decimal places} What is the correlation coefficient without the outlier? Use StatCrunch. rwithout {3 decimal places} %3D Would inclusion of the outlier change the evidence for or against a significant linear correlation? O Yes. Including the outlier changes the evidence regarding a linear correlation. O No. Including the outlier does not change the evidence regarding a linear correlation.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The following bivariate data set contains an outlier. Enter the data into StatCrunch. Using its graphing ability, draw a scatter plot of the data. Sketch the plot on your paper in your notebook.

| x  | y    |
|----|------|
| 61 | -374 |
| 65 | -15  |
| 67 | -296 |
| 76 | 817  |
| 63 | -989 |
| 67 | -510 |
| 121| -6407|

**Questions:**

1. What is the correlation coefficient with the outlier? Use StatCrunch.
   - \( r_{\text{with}} = \_\_\_\_ \) {3 decimal places}

2. What is the correlation coefficient without the outlier? Use StatCrunch.
   - \( r_{\text{without}} = \_\_\_\_ \) {3 decimal places}

3. Would inclusion of the outlier change the evidence for or against a significant linear correlation?
   - ○ Yes. Including the outlier changes the evidence regarding a linear correlation.
   - ○ No. Including the outlier does not change the evidence regarding a linear correlation.
Transcribed Image Text:The following bivariate data set contains an outlier. Enter the data into StatCrunch. Using its graphing ability, draw a scatter plot of the data. Sketch the plot on your paper in your notebook. | x | y | |----|------| | 61 | -374 | | 65 | -15 | | 67 | -296 | | 76 | 817 | | 63 | -989 | | 67 | -510 | | 121| -6407| **Questions:** 1. What is the correlation coefficient with the outlier? Use StatCrunch. - \( r_{\text{with}} = \_\_\_\_ \) {3 decimal places} 2. What is the correlation coefficient without the outlier? Use StatCrunch. - \( r_{\text{without}} = \_\_\_\_ \) {3 decimal places} 3. Would inclusion of the outlier change the evidence for or against a significant linear correlation? - ○ Yes. Including the outlier changes the evidence regarding a linear correlation. - ○ No. Including the outlier does not change the evidence regarding a linear correlation.
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