Here is a bivariate data set. x y 60 30.3 33.8 24.8 61.4 32.5 34.3 19 47.1 11.7 76.7 40.6 49.2 25.9 55.5 10.1 45.5 22.1 62.8 27.6 46.4 27.5 64.8 37.2 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 |
|---|---|
| 60 | 30.3 |
| 33.8 | 24.8 |
| 61.4 | 32.5 |
| 34.3 | 19 |
| 47.1 | 11.7 |
| 76.7 | 40.6 |
| 49.2 | 25.9 |
| 55.5 | 10.1 |
| 45.5 | 22.1 |
| 62.8 | 27.6 |
| 46.4 | 27.5 |
| 64.8 | 37.2 |
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 =
*please answer percentage correctly*
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