Here is a bivariate data set. x y 36 52 25 52.7 29.5 51.3 21.4 54.7 28 51.2 26.8 50.9 22 53.3 33.7 50.4 26.1 53.8 23.1 53.5 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 |
|---|---|
| 36 | 52 |
| 25 | 52.7 |
| 29.5 | 51.3 |
| 21.4 | 54.7 |
| 28 | 51.2 |
| 26.8 | 50.9 |
| 22 | 53.3 |
| 33.7 | 50.4 |
| 26.1 | 53.8 |
| 23.1 | 53.5 |
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 = %
Step by step
Solved in 2 steps with 2 images
