The following sample observations were randomly selected. 6 3. 4 4 y 13 15 7 12 13 11 9 5 Click here for the Excel Data File Determine the coefficient of correlation and the coefficient of determination. Interpret the association between x and y. (Round your coefficient of determination to 4 decimal places. Round all other answers to 2 decimal places. Negative values should be indicated by a minus sign.) y-y (y- (x- 7) (y-9) - 5 13 2.38 0.02 5.64 0.30 3 15 4.38 3.52 19.14 7 1.13 1.27 13.14 -4.08 3 12 -1.88 3.52 1.89 4 13 -0.88 2.38 5.64 -2.08 4 11 -0.88 0.38 0.14 -0.33 9. 1.13 -1.63 1.27 8. 3.13 -5.63 9.77 -17.58 39 85 Sx Sy The correlation coefficient of indicates a (Click to select) relationship between x and y. The coefficient of determination is found by squaring the value of x accounts for % of the variation in y.
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.
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