ted below are numbers of registered pleasure boats in Florida measured in tens of thousands (the x-values) and the numbers of dolphin fatalities from encounters with boats in Florida (the y-values) for each of several recent years. Find the linear correlation coefficient (r). [Round to 3 decimal places] x y x y x 2 y 2 99 92 9108 9801 8464 99 73 7227 9801 5329 97 90 8730 9409 8100 95 97 9215 9025 9409 90 83 7470 8100 6889 90 88 7920 8100 7744 87 81 7047 7569 6561 90 73 6570 8100 5329 90 68 6120 8100 4624
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.
Listed below are numbers of registered pleasure boats in Florida measured in tens of thousands (the x-values) and the numbers of dolphin fatalities from encounters with boats in Florida (the y-values) for each of several recent years. Find the
| x | y | x y | x 2 | y 2 |
| 99 | 92 | 9108 | 9801 | 8464 |
| 99 | 73 | 7227 | 9801 | 5329 |
| 97 | 90 | 8730 | 9409 | 8100 |
| 95 | 97 | 9215 | 9025 | 9409 |
| 90 | 83 | 7470 | 8100 | 6889 |
| 90 | 88 | 7920 | 8100 | 7744 |
| 87 | 81 | 7047 | 7569 | 6561 |
| 90 | 73 | 6570 | 8100 | 5329 |
| 90 | 68 | 6120 | 8100 | 4624 |
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