Here is a bivariate data set. x y 49 83.4 46 143.3 50.8 116.6 45.5 173.3 38.6 119.2 34.1 106.8 51.7 158.3 43.6 66.7 41.9 69.7 46.1 103 41.7 101.3 38.2 99.7 46.6 48.1 34.2 -53.4 59.6 140.9 37.5 85 37.1 30.4 29.8 20.5 Find the correlation coefficient and report it accurate to three decimal places. r = 0.595 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 pla
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 |
|---|---|
| 49 | 83.4 |
| 46 | 143.3 |
| 50.8 | 116.6 |
| 45.5 | 173.3 |
| 38.6 | 119.2 |
| 34.1 | 106.8 |
| 51.7 | 158.3 |
| 43.6 | 66.7 |
| 41.9 | 69.7 |
| 46.1 | 103 |
| 41.7 | 101.3 |
| 38.2 | 99.7 |
| 46.6 | 48.1 |
| 34.2 | -53.4 |
| 59.6 | 140.9 |
| 37.5 | 85 |
| 37.1 | 30.4 |
| 29.8 | 20.5 |
Find the
r = 0.595
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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