tailieunhanh - Ebook Applied statistics and probability for engineers (3/E): Part 2

Part 2 book “Applied statistics and probability for engineers” has contents: Simple linear regression and correlation, multiple linear regression, nonparametric statistics, statistical quality control, design of experiments with several factors, and other contents. | 5/20/02 1:14 PM Page 372 RK UL 6 RK UL 6:Desktop Folder:TEMP WORK:MONTGOMERY:REVISES UPLO D CH 1 14 FIN L:Quark Files: 11 Simple Linear Regression and Correlation CHAPTER OUTLINE 11-1 EMPIRICAL MODELS 11-2 SIMPLE LINEAR REGRESSION 11-3 PROPERTIES OF THE LEAST SQUARES ESTIMATORS 11-7 PREDICTION OF NEW OBSERVATIONS 11-4 SOME COMMENTS ON USES OF REGRESSION (CD ONLY) 11-8 ADEQUACY OF THE REGRESSION MODEL 11-5 HYPOTHESIS TESTS IN SIMPLE LINEAR REGRESSION Residual Analysis Use of t-Tests Lack-of-Fit Test (CD Only) 11-6 Confidence Interval on the Mean Response Coefficient of Determination (R2) Analysis of Variance Approach to Test Significance of Regression 11-9 CONFIDENCE INTERVALS 11-10 MORE ABOUT TRANSFORMATIONS (CD ONLY) Confidence Intervals on the Slope and Intercept TRANSFORMATIONS TO A STRAIGHT LINE 11-11 CORRELATION LEARNING OBJECTIVES After careful study of this chapter, you should be able to do the following: 1. Use simple linear regression for building empirical models to engineering and scientific data 2. Understand how the method of least squares is used to estimate the parameters in a linear regression model 3. Analyze residuals to determine if the regression model is an adequate fit to the data or to see if any underlying assumptions are violated 4. Test statistical hypotheses and construct confidence intervals on regression model parameters 5. Use the regression model to make a prediction of a future observation and construct an appropriate prediction interval on the future observation 6. Use simple transformations to achieve a linear regression model 7. Apply the correlation model 372 5/20/02 1:14 PM Page 373 RK UL 6 RK UL 6:Desktop Folder:TEMP WORK:MONTGOMERY:REVISES UPLO D CH 1 14 FIN L:Quark Files: 373 11-1 EMPIRICAL MODELS CD MATERIAL 8. Conduct a lack-of-fit test in a regression model where there are replicated observations. Answers for many odd .