The following bivariate data set contains an outlier. x y 77.4 103.8 83 -11.8 74.3 1265.9 68.7 366.8 66.5 693 70.7 1220.2 66.5 -205.9 76.2 69.8 73.7 453.7 71.4 246.5 73.5 -371.3 74.3 322.5 60.2 -243.4 81.9 662.7 151.4 648.4 What is the correlation coefficient with the outlier? What is the correlation coefficient without the outlier?
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 |
|---|---|
| 77.4 | 103.8 |
| 83 | -11.8 |
| 74.3 | 1265.9 |
| 68.7 | 366.8 |
| 66.5 | 693 |
| 70.7 | 1220.2 |
| 66.5 | -205.9 |
| 76.2 | 69.8 |
| 73.7 | 453.7 |
| 71.4 | 246.5 |
| 73.5 | -371.3 |
| 74.3 | 322.5 |
| 60.2 | -243.4 |
| 81.9 | 662.7 |
| 151.4 | 648.4 |
What is the
What is the correlation coefficient without the outlier?
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