The following bivariate data set contains an outlier. x y 73.6 -206 80.5 -1192.3 76.1 1251 55 -1686.8 80.6 -136.9 81.6 -2167 89.1 -1795.1 82.8 -2209.9 70.6 1395.6 96 223.2 71.4 104.5 81.4 651.5 80.7 3318.6 82.3 3000.1 219 19904.1 What is the correlation coefficient with the outlier? rw = What is the correlation coefficient without the outlier? rwo =
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 |
---|---|
73.6 | -206 |
80.5 | -1192.3 |
76.1 | 1251 |
55 | -1686.8 |
80.6 | -136.9 |
81.6 | -2167 |
89.1 | -1795.1 |
82.8 | -2209.9 |
70.6 | 1395.6 |
96 | 223.2 |
71.4 | 104.5 |
81.4 | 651.5 |
80.7 | 3318.6 |
82.3 | 3000.1 |
219 | 19904.1 |
What is the
rw =
What is the correlation coefficient without the outlier?
rwo =
Step by step
Solved in 3 steps