Here is a bivariate data set. x y 74.1 -144.3 70.4 7 48.4 39.6 42.5 58 75.4 -92.2 40.5 32.4 48 53.2 44.4 87.4 41.3 15.1 Find the correlation coefficient and report it accurate to three decimal places. 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 = %
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 |
|---|---|
| 74.1 | -144.3 |
| 70.4 | 7 |
| 48.4 | 39.6 |
| 42.5 | 58 |
| 75.4 | -92.2 |
| 40.5 | 32.4 |
| 48 | 53.2 |
| 44.4 | 87.4 |
| 41.3 | 15.1 |
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 = %
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