Here is a bivariate data set. x y 33.1 67.2 34.8 73.7 20.9 93.2 26.1 74.2 31.3 97.5 1.3 110.9 30.4 59.6 18.8 91.8 40.9 43.1 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 |
|---|---|
| 33.1 | 67.2 |
| 34.8 | 73.7 |
| 20.9 | 93.2 |
| 26.1 | 74.2 |
| 31.3 | 97.5 |
| 1.3 | 110.9 |
| 30.4 | 59.6 |
| 18.8 | 91.8 |
| 40.9 | 43.1 |
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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