Question: Problem #5 Problem #5 Boating enthusiasts wishing to be granted a boating license in Delaware must take and pass a 14-question boating safety exam every

Problem #5

Problem #5 Boating enthusiasts wishing to be granted a boating license in Delaware must take and pass a 14-question boating safety exam every three years. Data is obtained from a random sample of n = 10 individuals taking the exam to renew their license. Let x represent the score the ( individual obtained three years ago, and let y represent the score obtained in the renewal exam. Suppose the goal is to fit the following linear regression model: M = a + 8x + ex (a) [2 pts] Find estimates of the parameters (a and ) from the model using the fact that y = 12.9, x = 10.8, So = 30.9778, and S'* = 28.6222. (b) [1 pt] Interpret both a and & from the model within the context of the problem. (c) [1 pt] Calculate the expected score for a boater who received a score of 10 on his or her exam three years ago

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