The following table gives the gold medal times for every other Summer Olympics for the women's 100 meter freestyle (swimming). Year Time (seconds) 1912 82.2 1924 72.4 1932 66.8 1952 66.8 1960 61.2 1968 60.0 1976 55.65 1984 55.92 1992 54.64 2000 53.8 2008 53.1 Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.)
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.
The following table gives the gold medal times for every other Summer Olympics for the women's 100 meter freestyle (swimming).
Year | Time (seconds) |
---|---|
1912 | 82.2 |
1924 | 72.4 |
1932 | 66.8 |
1952 | 66.8 |
1960 | 61.2 |
1968 | 60.0 |
1976 | 55.65 |
1984 | 55.92 |
1992 | 54.64 |
2000 | 53.8 |
2008 | 53.1 |
Calculate the least squares line. Put the equation in the form of:
(Round your answers to three decimal places.)
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