Here is a bivariate data set. x y 50.3 92.2 56 80.8 83.5 76.8 79.6 75.9 58.4 77.9 75.8 67.3 86.1 60.7 36.7 82.7 56.7 76.7 63 89.2 50.3 67.3 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 |
|---|---|
| 50.3 | 92.2 |
| 56 | 80.8 |
| 83.5 | 76.8 |
| 79.6 | 75.9 |
| 58.4 | 77.9 |
| 75.8 | 67.3 |
| 86.1 | 60.7 |
| 36.7 | 82.7 |
| 56.7 | 76.7 |
| 63 | 89.2 |
| 50.3 | 67.3 |
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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