The fish in my pond have mean length 12.53 inches with a standard deviation of 2.37 inches and mean weight 4.83 pounds with a standard deviation of .4 pounds.  The correlation coefficient of length and weight is .3.  If the length of a particular randomly selected fish is reported to be 17 inches, and if we use simple linear regression to predict the weight of a fish whose length is reported to be 15.8 inches long, then what is the expected squared error?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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The fish in my pond have mean length 12.53 inches with a standard deviation of 2.37 inches and mean weight 4.83 pounds with a standard deviation of .4 pounds.  The correlation coefficient of length and weight is .3.  If the length of a particular randomly selected fish is reported to be 17 inches, and if we use simple linear regression to predict the weight of a fish whose length is reported to be 15.8 inches long, then what is the expected squared error?

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