Explanation The model relating E ( y ) to one qualitative independent variable with k levels is given below: E ( y ) = β 0 + β 1 x 1 + β 2 x 2 + ... + β k − 1 x k − 1 . In this model, x i = { 1 if y is observed at level i +1 0 otherwise β 1 = μ 2 − μ 1 β 2 = μ 3 − μ 1 .... β k − 1 = μ k − μ 1 Here, μ i represents the value of E ( y ) at i th level. Therefore, the regression model relating E ( y ) to a qualitative independent with three levels is obtained as follows: E ( y ) = β 0 + β 1 x 1 + β 2 x 2

13th Edition

ISBN: 9780134080215

Author: James T. McClave, Terry T Sincich

Publisher: PEARSON

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Chapter 12.7, Problem 82UP

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Give a regression model relating E(y) to a qualitative independent with three levels.

Interpret the terms in the model.

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Chapter 12.7, Problem 81UP

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Chapter 12 Solutions

Statistics (13th Edition)

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Ch. 12.3 - Prob. 11LM Ch. 12.3 - 12.8 If the analysis of variance F-test leads to...Ch. 12.3 - Prob. 13ACB Ch. 12.3 - Prob. 14ACB Ch. 12.3 - Prob. 15ACB Ch. 12.3 - Dating and disclosure. Refer to the Journal of...Ch. 12.3 - Prob. 17ACB Ch. 12.3 - Prob. 18ACB Ch. 12.3 - Prob. 20ACB Ch. 12.3 - Study of adolescents with ADHD. Children with...Ch. 12.3 - Prob. 22ACI Ch. 12.3 - Prob. 23ACI Ch. 12.3 - A rubber additive made from cashew nut shells....Ch. 12.3 - Prob. 25ACI Ch. 12.3 - Prob. 26ACI Ch. 12.3 - Cooling method for gas turbines. 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Give a regression model relating E(y) to a qualitative independent with three levels. Interpret the terms in the model.

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Chapter 12 Solutions

Give a regression model relating E(y) to a qualitative independent with three levels.

Interpret the terms in the model.