Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places) x y 4 37.5 5 35.6 6 33.7 7 30.3 8 29.4 9 25 10 23.8 11 21 12 20.2 13 16.9 14 15.2 15 12.1 16 11.4 17 8.2 18 3.3 19 3.6
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.
Based on the data shown below, calculate the
| x | y |
|---|---|
| 4 | 37.5 |
| 5 | 35.6 |
| 6 | 33.7 |
| 7 | 30.3 |
| 8 | 29.4 |
| 9 | 25 |
| 10 | 23.8 |
| 11 | 21 |
| 12 | 20.2 |
| 13 | 16.9 |
| 14 | 15.2 |
| 15 | 12.1 |
| 16 | 11.4 |
| 17 | 8.2 |
| 18 | 3.3 |
| 19 | 3.6 |
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