Based on the ages and weights of lions (see table below), calculate the correlation coefficient (rounded to three decimal places)
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.
From given data,
| X | Y | X*Y | X*X | Y*Y |
| 4 | 138.6 | 554.4 | 16 | 19209.96 |
| 5 | 143.5 | 717.5 | 25 | 20592.25 |
| 6 | 142.4 | 854.4 | 36 | 20277.76 |
| 7 | 147.3 | 1031.1 | 49 | 21697.29 |
| 8 | 150.2 | 1201.6 | 64 | 22560.04 |
| 9 | 155.1 | 1395.9 | 81 | 24056.01 |
| 10 | 155 | 1550 | 100 | 24025 |
| 11 | 160.9 | 1769.9 | 121 | 25888.81 |
| 12 | 159.8 | 1917.6 | 144 | 25536.04 |
Step by step
Solved in 2 steps with 2 images
