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QUANTITATIVE MODELS Data was collected on air pollution variables recorded at 12

ID: 3234038 • Letter: Q

Question

QUANTITATIVE MODELS

Data was collected on air pollution variables recorded at 12:00 noon in the Los Angeles area on 32 different days. The variables are:

Y = carbon monoxide in the air

X1 = the wind speed

X2 = solar radiation

X3 = nitrogen in the air

ANSWER THE FOLLOWING QUESTIONS:

1.) The first order linear model, what is df for the model?

2.) The first order linear model, what is df for the error?

3.) The second order linear model, what is df for the model?

4.) The second order linear model, what is df for the error?

5.) The second order linear model with interaction terms, what is df for the error?

Explanation / Answer

1) df for the model = Number of predictors = 1

2) df for the error = (32 - 1) - 1 = 30

3) df for the model = Number of predictors = 2

4) df for the error = (32 - 1) - 2 = 29

5) If it is with interaction term then:

df for the error = (32 - 1) - 3 = 28

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