ere is a bivariate data set. x y 61.6 77.9 86.4 55.6 75.6 62.4 60.1 69.2 76.4 60.4 74 60.1 59.7 66.7
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 |
|---|---|
| 61.6 | 77.9 |
| 86.4 | 55.6 |
| 75.6 | 62.4 |
| 60.1 | 69.2 |
| 76.4 | 60.4 |
| 74 | 60.1 |
| 59.7 | 66.7 |
Find the
r = __?__
What proportion 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 = __?__%
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