Here is a bivariate data set. x y 62.4 32 62.2 26.6 47.7 56.6 120.5 -33.2 49 49.4 69.1 26.4 53.2 42.8 66 29.3 87 5.9 92.3 -2.2 70.3 23.2 67.6 32 69 26.4 86.8 6.5 51.2 47.6 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.
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 |
|---|---|
| 62.4 | 32 |
| 62.2 | 26.6 |
| 47.7 | 56.6 |
| 120.5 | -33.2 |
| 49 | 49.4 |
| 69.1 | 26.4 |
| 53.2 | 42.8 |
| 66 | 29.3 |
| 87 | 5.9 |
| 92.3 | -2.2 |
| 70.3 | 23.2 |
| 67.6 | 32 |
| 69 | 26.4 |
| 86.8 | 6.5 |
| 51.2 | 47.6 |
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.
Step by step
Solved in 3 steps
