53. Here is a bivariate data set. x 28 21.2 23.9 2.7 45.7 -4.8 46.7 y 14.9 -23 46.7 107.8 33.4 46.7 52.8 Find the correlation coefficient. r = [three decimal accuracy] 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 = % [one decimal accuracy]
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 28 21.2 23.9 2.7 45.7 -4.8 46.7
y 14.9 -23 46.7 107.8 33.4 46.7 52.8
Find the
r =
[three decimal accuracy]
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 =
%
[one decimal accuracy]
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