The table shows the numbers of people y (in millions) in the United States who participated in snowboarding in selected years from 2003 to 2007.t Year Number, y 2003 6.3 2005 6.0 2007 5.1 (a) Use a system of equations to find the equation of the parabola y = system using matrices. (Round your coefficients to three decimal places.) at? + bt + c that passes through the points. Let t represent the year, with t = 3 corresponding to 2003. Solve the У 3 (c) Use the equation in part (a) to estimate the number of people who participated in snowboarding in 2009. Does your answer seem reasonable? Explain. (Round your answer to one decimal place.) million (d) Do you believe that the equation can be used for years far beyond 2007? Explain. Yes, because the model predicts future behavior based on passed behavior. Yes, because the model can continue out infinitely. No, because the model will eventually hit negative numbers. No, because the model is too large.

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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.