Here is a bivariate data set. x y 28.2 50.1 26.7 48.7 19 52.7 32.1 51.5 29.4 52.5 23.5 51.3 38.5 42.7 12.7 57.1 18.3 55.3 19.2 52.9 24 48.6 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 |
|---|---|
| 28.2 | 50.1 |
| 26.7 | 48.7 |
| 19 | 52.7 |
| 32.1 | 51.5 |
| 29.4 | 52.5 |
| 23.5 | 51.3 |
| 38.5 | 42.7 |
| 12.7 | 57.1 |
| 18.3 | 55.3 |
| 19.2 | 52.9 |
| 24 | 48.6 |
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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