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 a) Find the predicted percentage of successful field goals for a player with x = 81% successful free throws. (Round your answer to two decimal places.) % b) Find a 90% confidence interval for y when x = 81. (Round your answers to one decimal place.) lower limit % upper limit %
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 |
a) Find the predicted percentage of successful field goals for a player with x = 81% successful free throws. (Round your answer to two decimal places.)
%
b) Find a 90% confidence interval for y when x = 81. (Round your answers to one decimal place.)
| lower limit | % |
| upper limit | % |
The data is given as:
| x | 67 | 64 | 75 | 86 | 73 | 73 |
| y | 42 | 39 | 48 | 51 | 44 | 51 |
The sample size is
Y: percentage of successful field goals a professional basketball player makes in a season.
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