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 44 39 48 51 44 51

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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 44 39 48 51 44 51

 

(d) Find the predicted percentage  of successful field goals for a player with x = 81% successful free throws. (Round your answer to two decimal places.)
 %

(e) Find a 90% confidence interval for y when x = 81. (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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