### Standard error of estimate for the first-order model

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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.

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