Here is a bivariate data set. x y 40.2 39.2 46.4 41.8 20 21.4 40.4 31.6 40 41.8 49.1 26 35.4 26.9 54.7 31.4
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.
| x | y |
|---|---|
| 40.2 | 39.2 |
| 46.4 | 41.8 |
| 20 | 21.4 |
| 40.4 | 31.6 |
| 40 | 41.8 |
| 49.1 | 26 |
| 35.4 | 26.9 |
| 54.7 | 31.4 |
Find the
r =
What percentage of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.
r² = %
Step by step
Solved in 2 steps with 1 images
