Standard error of estimate for the first-order model

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Reference no: EM13227856

The Quality of a product depends on temperature and Pressure (in PSI). Use the 27 observations in the table and answer the following questions:

Quality

Temp

PSI

 

Quality

Temp

PSI

50.80

80

50

 

97.40

90

55

50.70

80

50

 

70.90

90

60

49.40

80

50

 

68.80

90

60

93.70

80

55

 

71.30

90

60

90.90

80

55

 

46.60

100

50

90.90

80

55

 

49.10

100

50

74.50

80

60

 

46.60

100

50

73.00

80

60

 

69.80

100

55

71.20

80

60

 

72.50

100

55

63.40

90

50

 

73.20

100

55

61.60

90

50

 

38.70

100

60

63.40

90

50

 

42.50

100

60

93.80

90

55

 

41.40

100

60

92.10

90

55

 

 

 

 

1. Fit a first-order model to the data (make sure you include both independent variables.)

2. Report the equation of the model.

3. Interpret the estimated regression coefficients.

4. Report the coefficient of determination and the standard error of estimate for the first-order model. Based on these, how good is the model?

5. Fit an interaction model to the data.

6. Report the coefficient of determination and the standard error of estimate for the interaction model. Based on these, how good is the model?

7. Fit a complete second-order model to the data.

8. Report the coefficient of determination and the standard error of estimate for the complete second-order model. Based on these, how good is the model?

9. Which of the three models do you prefer? Why? Explain.

Reference no: EM13227856

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