Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 67 64 75 86 73 73 y 42 39 48 51 44 51   Find the predicted percentage  of successful field goals for a player with x = 65% successful free throws. (Round your answer to two decimal places.)   (e) Find a 90% confidence interval for y when x = 65. (Round your answers to one decimal place.) lower limit  % upper limit  % (f) Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.) t   critical t   (g) Find a 90% confidence interval for β. (Round your answers to three decimal places.) lower limit   upper limit

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.