Here is a bivariate data set. x y 45.1 118.8 30.2 92.1 60.6 108.4 54.7 53.5 61.8 93.4 58.4 99.4 79.2 34.6 72.1 42.1 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 |
|---|---|
| 45.1 | 118.8 |
| 30.2 | 92.1 |
| 60.6 | 108.4 |
| 54.7 | 53.5 |
| 61.8 | 93.4 |
| 58.4 | 99.4 |
| 79.2 | 34.6 |
| 72.1 | 42.1 |
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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