Here is a bivariate data set. x y 47.5 59.9 43.3 34.9 37.8 43.1 48.3 51.7 48.9 68.1 42.2 21.8 37.1 33.9 47 13.9 44.5 48 41.1 34.3 52.9 53.5 52.6 79.6 42.7 20.9 59.3 81.5 43.3 65.7 46.6 40.6 54 96 38.9 15.3 Find the correlation coefficient and report it accurate to three decimal places. r =
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 |
---|---|
47.5 | 59.9 |
43.3 | 34.9 |
37.8 | 43.1 |
48.3 | 51.7 |
48.9 | 68.1 |
42.2 | 21.8 |
37.1 | 33.9 |
47 | 13.9 |
44.5 | 48 |
41.1 | 34.3 |
52.9 | 53.5 |
52.6 | 79.6 |
42.7 | 20.9 |
59.3 | 81.5 |
43.3 | 65.7 |
46.6 | 40.6 |
54 | 96 |
38.9 | 15.3 |
Find the
r =
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