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1) Researchers are curious whether the age a couple gets married affects the number of children they have. They collect the following set of data: ● Father's age at marriage (x₁) ● Mother's age at marriage (x₂) ● The number of children they have had after 10 years of marriage (y) They look at the following models, model 1 number of children as a function of Father's age and Mother's age, model 2 number of children as a function of Father's age, and model 3 number of children as a function of Mother's age. Model 1

1) Researchers are curious whether the age a couple gets married affects the number of children they have. They collect the following set of data: ● Father's age at marriage (x₁) ● Mother's age at marriage (x₂) ● The number of children they have had after 10 years of marriage (y) They look at the following models, model 1 number of children as a function of Father's age and Mother's age, model 2 number of children as a function of Father's age, and model 3 number of children as a function of Mother's age. Model 1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1) Researchers are curious whether the age a couple gets married affects the number of children they have. They collect the following set of data: ● Father's age at marriage (x₁) ● Mother's age at marriage (x₂) ● The number of children they have had after 10 years of marriage (y) They look at the following models, model 1 number of children as a function of Father's age and Mother's age, model 2 number of children as a function of Father's age, and model 3 number of children as a function of Mother's age. Model 1 Source Df SS MS 45.73 Model 3 137.18 Residual 12 61.09 5.09 Total 15 198.27 Model 2 Source Df SS MS Model 2 123.25 61.625 Residual 13 75.02 5.77 Total 15 198.27 Model 3 Source Df SS MS Model 2 112.78 56.39 Residual 13 85.49 6.576 Total 15 198.27 a. What write the three models we consider with this data? b. Given the ANOVA tables for each model, are they valid models C. Given the ANOVA tables and using the extra sum of square
Transcribed Image Text:1) Researchers are curious whether the age a couple gets married affects the number of children they have. They collect the following set of data: ● Father's age at marriage (x₁) ● Mother's age at marriage (x₂) ● The number of children they have had after 10 years of marriage (y) They look at the following models, model 1 number of children as a function of Father's age and Mother's age, model 2 number of children as a function of Father's age, and model 3 number of children as a function of Mother's age. Model 1 Source Df SS MS 45.73 Model 3 137.18 Residual 12 61.09 5.09 Total 15 198.27 Model 2 Source Df SS MS Model 2 123.25 61.625 Residual 13 75.02 5.77 Total 15 198.27 Model 3 Source Df SS MS Model 2 112.78 56.39 Residual 13 85.49 6.576 Total 15 198.27 a. What write the three models we consider with this data? b. Given the ANOVA tables for each model, are they valid models C. Given the ANOVA tables and using the extra sum of square
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