What Football shaped is
Football shaped is a type of probability distribution that is commonly used in statistical analysis. It is so-called because of its shape, which resembles that of a football.
Steps for Football shaped:
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Determine the mean (μ) and variance (σ2) of the data set.
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Calculate the coefficient of skewness (g1) and coefficient of kurtosis (g2).
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Use the mean and variance to create a football-shaped probability distribution.
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Plot the probability distribution on a graph.
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Estimate the probability of each possible outcome.
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Compare the results with the actual data set to verify the accuracy of the model.
Examples
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Football shaped data could be used to identify whether two variables are related, where the data is plotted on a graph with one variable on the x-axis and the other variable on the y-axis. If the data forms a football-shaped curve, it is most likely indicative of a positive correlation between the two variables.
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Football shaped data is often used to illustrate the impact of outliers on a data set. If a data set is shaped like a football, it likely has one or more outliers that are skewing the data.
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Football shaped data can be used to illustrate the effects of normalization on a data set. By normalizing the data, it is often possible to convert the data from a football-shaped curve to a more consistent, straight line.