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Statistical applications to construction Chapter  12 253


                    2.00

                    1.50  y = 0.0596x + 0.0067
                              2
                  MH/LF  1.00  R  = 0.9997                   Series1
                    0.50                                     Linear (Series1)
                                                             Linear (Series1)
                    0.00
                       0        10        20       30
                               Pipe diameter (in.)
             FIG. 12.6.2 Handle S10S and lighter stainless steel pipe.

                                           2
                 The coefficient of determination, R is exactly +1 and indicates a positive fit
                 All data points lie exactly on the straight line. The relationship between X and Y
               variables is such that as X increases, Y also increases.


             12.7 Simple moving average forecast


               Example 12.7.1
               Calculate the forecast values for the time series using a simple moving average with
               m =3 (Table 12.7.1)
                 Data for input: Man-hours for the field erection of coal-fired power plant—
               weld casing seams
                 Year (t): 2005, 2006, 2007, 2008, 2009, 2010, 2011, and 2012
                 Average man-hour (y): 1053, 988, 1020, 950, 1061, 1177, 892, and 1089


               TABLE 12.7.1 Simple moving average forecast
               Year                        Average Man-hours
               t           y            Predict        (e)          e 2
               2005        1053
               2006        988
               2007        1020
               2008        950          1020.2         70.2         4932.7
               2009        1061         984.9          75.7         5722.9
               2010        1177         1005.3         172.0        29566.8
               2011        832          1118.9         287.2        82478.1
               2012        1089         1004.4         84.6         7152.1


                                                       MAE          MSE
                                                       137.9        25970.5
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