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
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Author:Amos Gilat
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91f76606-a4d9-42f0-be0d-7b1366a5593f%2F678ecc48-73c3-45cb-9005-95686e384d91%2Fql62zy_processed.png&w=3840&q=75)
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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