Here is a bivariate data set. x y 50.9 -89.4 57.6 55.2 45.5 105.3 43 -3.3 15.4 23.8 38.5 -17.5 71.1 129 49.5 210.3 41.8 50.9 Find the correlation coefficient and report it accurate to three decimal places. 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 = %
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 |
|---|---|
| 50.9 | -89.4 |
| 57.6 | 55.2 |
| 45.5 | 105.3 |
| 43 | -3.3 |
| 15.4 | 23.8 |
| 38.5 | -17.5 |
| 71.1 | 129 |
| 49.5 | 210.3 |
| 41.8 | 50.9 |
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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