A football coach is looking for a way to identify players that are "under weight". The coach decides to get data for each player's height (æ, in inches) and weight (y, in pounds), then does a linear regression. The results are: y = - 57 + 3.2a, r = 0.87 and the standard error is S. = 11.4. Since there is a strong linear correlation the coach, who also majored in Statistics, decides to identify all "outliers" in the data. Obviously, any player whose weight is above the regression line is not "under weight". So the only outliers the coach is interested in are those that are below the regression line. What is the lowest weight possible for a 71 inch player to not be considered "under weight"? Do not round.

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A football coach is looking for a way to identify players that are "under weight". The coach decides to get
data for each player's height (x, in inches) and weight (y, in pounds), then does a linear regression. The
results are:
y = - 57 + 3.2a, r = 0.87 and the standard error is S. = 11.4.
Since there is a strong linear correlation the coach, who also majored in Statistics, decides to identify all
"outliers" in the data.
Obviously, any player whose weight is above the regression line is not "under weight". So the only outliers
the coach is interested in are those that are below the regression line.
What is the lowest weight possible for a 71 inch player to not be considered "under weight"? Do not round.
Transcribed Image Text:A football coach is looking for a way to identify players that are "under weight". The coach decides to get data for each player's height (x, in inches) and weight (y, in pounds), then does a linear regression. The results are: y = - 57 + 3.2a, r = 0.87 and the standard error is S. = 11.4. Since there is a strong linear correlation the coach, who also majored in Statistics, decides to identify all "outliers" in the data. Obviously, any player whose weight is above the regression line is not "under weight". So the only outliers the coach is interested in are those that are below the regression line. What is the lowest weight possible for a 71 inch player to not be considered "under weight"? Do not round.
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