ANSWER THE FOLLOWING: 1.) For exercise 5.7 and the first order linear model, wha

Question

ANSWER THE FOLLOWING:

1.) For exercise 5.7 and the first order linear model, what is df for the model? (the answer is not 1)

2.) For exercise 5.7 and the first order linear model, what is df for the error? (the answer is not 30)

3.) For exercise 5.7 and the second order linear model, what is df for the model? (the answer is not 2)

4.) For exercise 5.7 and the second order linear model, what is df for the error? (the answer is not 29)

5.) For exercise 5.7 and the second order linear model with interaction terms, what is df for the error? (the answer is not 28)

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 solar radiation X3 nitrogen in the air a. Write down a first order linear model. Determine the degrees of freedom for the model and the error term. b. Write down a second order linear model. Determine the degrees of freedom for the model and the error term. c. Write down a second order linear model with interaction. Determine the degrees of freedom for the model and the error term. d. Finish filling in the ANOVA table below base on the second order linear model (part b). Test if the model is useful. Idf Source Sum of squares Mean square Model 35 Error total 55

Explanation / Answer

Answer:

1.) For exercise 5.7 and the first order linear model, what is df for the model? (the answer is not 1)

Df=3 ( Three terms in the model, x1,x2,x3)

2.) For exercise 5.7 and the first order linear model, what is df for the error? (the answer is not 30)

df for the error = 31-3=28

3.) For exercise 5.7 and the second order linear model, what is df for the model? (the answer is not 2)

Df=6 ( 6 terms in the model, x1,x2,x3 ,x1^2, x2^2,x3^2)

4.) For exercise 5.7 and the second order linear model, what is df for the error? (the answer is not 29)

df for the error = 31-6=25

5.) For exercise 5.7 and the second order linear model with interaction terms, what is df for the error? (the answer is not 28)

Df for the model=9( 9 terms in the model, x1,x2,x3 ,x1^2, x2^2,x3^2,x1x2,x1x3,x2x3)

df for the error = 31-9=22

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