a. Explanation Given info: For a regression analysis S S T = 8 , 291.0 and S S R = 7 , 626.6 . Calculation: Total sum of square: (SST) The total variation in the observed values of the response variable is defined as the total sum of squares. The formula for total sum of square is S S T = ∑ i ( y i − y ¯ ) 2 where y i be the i -th observation value and y ¯ be the sample mean. Regression sum of square: (SSR) The variation in the observed values of the response variable explained by the regression is defined as the regression sum of squares. The formula for regression sum of square is S S R = ∑ i ( y ^ i − y ¯ ) 2 where y ^ i be the predicted value of the i -th observation and y ¯ be the sample mean b. To determine Determine the sum of square S S E .

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ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

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Chapter 14.3, Problem 87E

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Obtain the coefficient of determination.

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Determine the sum of square SSE.

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Chapter 14.3, Problem 86E

Chapter 14.3, Problem 88E

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Chapter 14 Solutions

Introductory Statistics (10th Edition)

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Obtain the coefficient of determination.

Solution Summary: The author explains the coefficient of determination, which describes the amount of variation in the observed values of the response variable.

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Obtain the coefficient of determination.

Determine the sum of square SSE.

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Chapter 14 Solutions