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Engineering Statistics Handbook Episode 5 Part 6

Tham khảo tài liệu 'engineering statistics handbook episode 5 part 6', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 4.I.3.2. Prediction ENGINEERING STATISTICS HANDBOOK home TOOLS ÍAIOỉ SEARCH BACK next 4. Process Modeling 4.1. Introduction to Process Modeling 4.1.3. What are process models used for 4.I.3.2. Prediction More on As mentioned earlier the goal of prediction is to determine future value s of the response Prediction variable that are associated with a specific combination of predictor variable values. As in estimation the predicted values are computed by plugging the value s of the predictor variable s into the regression equation after estimating the unknown parameters from the data. The difference between estimation and prediction arises only in the computation of the uncertainties. These differences are illustrated below using the Pressure Temperature example in parallel with the example illustrating estimation. Example Suppose in this case the predictor variable value of interest is a temperature of 47 degrees. Computing the predicted value using the equation p 7.749695 3.93Ũ123T yields a predicted pressure of 192.4655. http www.itl.nist.gov div898 handbook pmd section1 pmd132.htm 1 of 5 5 1 2006 10 21 52 AM 4.I.3.2. Prediction Predicted Value from a Repeated Experiment Of course if the pressure temperature experiment were repeated the estimates of the parameters of the regression function obtained from the data would differ slightly each time because of the randomness in the data and the need to sample a limited amount of data. Different parameter estimates would in turn yield different predicted values. The plot below illustrates the type of slight variation that could occur in a repeated experiment. http www.itl.nist.gov div898 handbook pmd section1 pmd132.htm 2 of 5 5 1 2006 10 21 52 AM