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2. Researchers are trying to determine if there is a relationship between the average number of Pets (y), the average education level (x₁), and the number siblings (x₂). They look at the following models, model 1 number of pets as a function of education and number of siblings, model 2 number of pets as a function of education, and model 3 number of pets as a function of siblings. Model 1 Model 2 Model 3 Source Model Residual Total Source Model Residual Total Source Model Residual Df 3 15 74.3 18 204.67 SS 130.37 Df SS 2 16 18 Df 2 16 18 119.82 84.85 204.67 MS 43.4567 4.9533 MS 59.91 5.3031 MS 51.39 6.3681 SS 102.78 101.89 Total 204.67 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 to evaluate the models? d. If we also want to include the gender of the person in the model, give one example of a dummy variable setup that would work and confirm it?

2. Researchers are trying to determine if there is a relationship between the average number of Pets (y), the average education level (x₁), and the number siblings (x₂). They look at the following models, model 1 number of pets as a function of education and number of siblings, model 2 number of pets as a function of education, and model 3 number of pets as a function of siblings. Model 1 Model 2 Model 3 Source Model Residual Total Source Model Residual Total Source Model Residual Df 3 15 74.3 18 204.67 SS 130.37 Df SS 2 16 18 Df 2 16 18 119.82 84.85 204.67 MS 43.4567 4.9533 MS 59.91 5.3031 MS 51.39 6.3681 SS 102.78 101.89 Total 204.67 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 to evaluate the models? d. If we also want to include the gender of the person in the model, give one example of a dummy variable setup that would work and confirm it?

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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2. Researchers are trying to determine if there is a relationship between the average number of Pets (y), the average education level (x₁), and the number siblings (x₂). They look at the following models, model 1 number of pets as a function of education and number of siblings, model 2 number of pets as a function of education, and model 3 number of pets as a function of siblings. Model 1 Model 2 Model 3 Source Model Residual Total Source Model Residual Total Df SS 3 15 18 130.37 74.3 204.67 Df SS 2 16 84.85 18 119.82 204.67 Df SS 2 102.78 16 101.89 18 204.67 MS 43.4567 4.9533 MS 59.91 5.3031 Source Model Residual Total 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 to evaluate the models? d. If we also want to include the gender of the person in the model, give one example of a dummy variable setup that would work and confirm it? MS 51.39 6.3681
Transcribed Image Text:2. Researchers are trying to determine if there is a relationship between the average number of Pets (y), the average education level (x₁), and the number siblings (x₂). They look at the following models, model 1 number of pets as a function of education and number of siblings, model 2 number of pets as a function of education, and model 3 number of pets as a function of siblings. Model 1 Model 2 Model 3 Source Model Residual Total Source Model Residual Total Df SS 3 15 18 130.37 74.3 204.67 Df SS 2 16 84.85 18 119.82 204.67 Df SS 2 102.78 16 101.89 18 204.67 MS 43.4567 4.9533 MS 59.91 5.3031 Source Model Residual Total 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 to evaluate the models? d. If we also want to include the gender of the person in the model, give one example of a dummy variable setup that would work and confirm it? MS 51.39 6.3681
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