Brandon works as a statistician for the Toronto Blue Jays, and wants to analyze the relationship between a player's age and how many strikeouts they accumulate in a season. He takes a sample of 8 Blue Jays players with age between 25 and 34 and finds there is a linear relationship between their ages and the number of strikeouts they had in the 2015 season. Here are the numerical summaries for age and the number of strikeouts: r = 0.67, age = 28.4, Sage = 3.96, strikeout= 102.9, S strikeout = 7.7 (a) What is the value of b₁, i.e. the fitted slope? (Round your answer to 3 decimal places) Answer: (b) What is the value of bo, i.e. the fitted intercept? (Round your answer to 3 decimal places.) Answer: (c) What is the percent of variation of the number of strikeouts that is explained by age using a linear regression? (Round your answer to 2 decimal places.) Answer: (d) Can we use this linear regression to predict the number of strikeouts for a player age 38? Answer: O No, because the correlation coefficient is not 1. OYes, because we know the slope and intercept values. O No, because we cannot extrapolate. OYes, because it is a linear relationship. O No, because we are uncertain about the range of the number of strikeouts.

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Brandon works as a statistician for the Toronto Blue Jays, and wants to analyze the relationship between a player's age and how many strikeouts they accumulate in a season. He takes a sample of 8 Blue Jays
players with age between 25 and 34 and finds there is a linear relationship between their ages and the number of strikeouts they had in the 2015 season. Here are the numerical summaries for age and the
number of strikeouts:
r = 0.67, age = 28.4, Sage = 3.96, strikeout= 102.9, S strikeout = 7.7
(a) What is the value of b₁, i.e. the fitted slope? (Round your answer to 3 decimal places)
Answer:
(b) What the value of bo, i.e. the fitted intercept? (Round your answer to 3 decimal places.)
Answer:
(c) What is the percent of variation of the number of strikeouts that is explained by age using a linear regression? (Round your answer to 2 decimal places.)
Answer:
%
(d) Can we use this linear regression to predict the number of strikeouts for a player age 38?
Answer:
O No, because the correlation coefficient is not 1.
O Yes, because we know the slope and intercept values.
O No, because we cannot extrapolate.
OYes, because it is a linear relationship.
O No, because we are uncertain about the range of the number of strikeouts.
Check
Transcribed Image Text:Brandon works as a statistician for the Toronto Blue Jays, and wants to analyze the relationship between a player's age and how many strikeouts they accumulate in a season. He takes a sample of 8 Blue Jays players with age between 25 and 34 and finds there is a linear relationship between their ages and the number of strikeouts they had in the 2015 season. Here are the numerical summaries for age and the number of strikeouts: r = 0.67, age = 28.4, Sage = 3.96, strikeout= 102.9, S strikeout = 7.7 (a) What is the value of b₁, i.e. the fitted slope? (Round your answer to 3 decimal places) Answer: (b) What the value of bo, i.e. the fitted intercept? (Round your answer to 3 decimal places.) Answer: (c) What is the percent of variation of the number of strikeouts that is explained by age using a linear regression? (Round your answer to 2 decimal places.) Answer: % (d) Can we use this linear regression to predict the number of strikeouts for a player age 38? Answer: O No, because the correlation coefficient is not 1. O Yes, because we know the slope and intercept values. O No, because we cannot extrapolate. OYes, because it is a linear relationship. O No, because we are uncertain about the range of the number of strikeouts. Check
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