Here is a bivariate data set. x y 51.1 30.8 58.7 10.3 46.7 50.1 42.7 32.1 40 46.7 42.9 33 40.3 15.9 56.1 -22.9 38.9 43.7 38.9 93.2 51.3 33.5 45.1 46.4 59.8 63.6 44.9 32.5 57.5 18.7 58.9 59.9 32.7 39.9 53.4 34.1 46.7 66.3 38.4 39.9 Find the correlation coefficient and report it accurate to three decimal places. r =
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.
Here is a bivariate data set.
| x | y |
|---|---|
| 51.1 | 30.8 |
| 58.7 | 10.3 |
| 46.7 | 50.1 |
| 42.7 | 32.1 |
| 40 | 46.7 |
| 42.9 | 33 |
| 40.3 | 15.9 |
| 56.1 | -22.9 |
| 38.9 | 43.7 |
| 38.9 | 93.2 |
| 51.3 | 33.5 |
| 45.1 | 46.4 |
| 59.8 | 63.6 |
| 44.9 | 32.5 |
| 57.5 | 18.7 |
| 58.9 | 59.9 |
| 32.7 | 39.9 |
| 53.4 | 34.1 |
| 46.7 | 66.3 |
| 38.4 | 39.9 |
Find the
r =
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