What is the correlation coefficient with the outlier? rw = [Round your answer to three decimal places.] What is the correlation coefficient without the outlier? rwo = [Round your answer to three decimal places.] Would inclusion of the outlier change the evidence for or against a 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.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The following bivariate data set contains an outlier.
| x | y |
|---|---|
| 47.6 | -450.2 |
| 49.6 | 3875.1 |
| 50.7 | 810.4 |
| 45 | 2185.1 |
| 43.7 | -2798.3 |
| 49.4 | 2559.2 |
| 47.1 | -2470.1 |
| 54.7 | -529.3 |
| 50.7 | -782.7 |
| 70.6 | 1759.5 |
| 52 | -300.9 |
| 50.4 | -2081.5 |
| 46.7 | 584.2 |
| 48.3 | -1207.1 |
| 151.3 | -22818.5 |
What is the
rw = [Round your answer to three decimal places.]
What is the correlation coefficient without the outlier?
rwo = [Round your answer to three decimal places.]
Would inclusion of the outlier change the evidence for or against a
- Yes. Including the outlier changes the evidence regarding a linear correlation.
- No. Including the outlier does not change the evidence regarding a linear correlation.
Question for thought: Would you always draw the same conclusion with the addition of an outlier?
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