Here is a bivariate data set. x y 31.2 78.6 71.2 60.1 47.1 124.8 59.1 108.5 66.7 63.1 75.8 42.9 71 59 68.3 21.5 85.5 48.2 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 |
|---|---|
| 31.2 | 78.6 |
| 71.2 | 60.1 |
| 47.1 | 124.8 |
| 59.1 | 108.5 |
| 66.7 | 63.1 |
| 75.8 | 42.9 |
| 71 | 59 |
| 68.3 | 21.5 |
| 85.5 | 48.2 |
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 = %
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
