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From a sample of n observations, the arithmetic mean and variance are calculated. It is then found that one of the values, x₁, is in error and should be replaced by x₁'. Show that the adjustment to the variance to correct this error is : 1/(x₁ - x₁ ) ( x1² + x1 - 2 1 - 1 + 2T), X1' n n where T is the total of the original results.

From a sample of n observations, the arithmetic mean and variance are calculated. It is then found that one of the values, x₁, is in error and should be replaced by x₁'. Show that the adjustment to the variance to correct this error is : 1/(x₁ - x₁ ) ( x1² + x1 - 2 1 - 1 + 2T), X1' n n where T is the total of the original results.

Calculus For The Life Sciences
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
Problem 1E
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From a sample of n observations, the arithmetic mean and variance are calculated. It is then found that one of the values, x₁, is in error and should be replaced by x₁'. Show that the adjustment to the variance to correct this error is : +2T '- (x₁ - x1)(x1 + x1 - 31²-31 + 27 X1 X1 n where T is the total of the original results.
Transcribed Image Text:From a sample of n observations, the arithmetic mean and variance are calculated. It is then found that one of the values, x₁, is in error and should be replaced by x₁'. Show that the adjustment to the variance to correct this error is : +2T '- (x₁ - x1)(x1 + x1 - 31²-31 + 27 X1 X1 n where T is the total of the original results.
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