Print all the data 08:39 Wednesday, July 9, 2008 1 Obs y time humidity 1 4.3 4 0.2 2 5.5 5 0.2 3 6.8 6 0.2 4 8.0 7 0.2 5 4.0 4 0.3 6 5.2 5 0.3 7 6.6 6 0.3 8 7.5 7 0.3 9 2.0 4 0.4 10 4.0 5 0.4 11 5.7 6 0.4 12 6.5 7 0.4 Print all the data 08:39 Wednesday, July 9, 2008 2 Plot of y*time. Legend: A = 1 obs, B = 2 obs, etc. y | | 8 + A | | | A | | | 7 + | A | | A A | | | 6 + | | A | A | | | A 5 + | | | | | A | 4 + A A | | | | | | 3 + | | | | | | 2 + A | ---+------------------+------------------+------------------+-- 4 5 6 7 time Print all the data 08:39 Wednesday, July 9, 2008 3 Plot of y*humidity. Legend: A = 1 obs, B = 2 obs, etc. y | | 8 +A | | | A | | | 7 + |A | | A A | | | 6 + | | A |A | | | A 5 + | | | | |A | 4 + A A | | | | | | 3 + | | | | | | 2 + A | -+-----------------------------------+-----------------------------------+ 0.2 0.3 0.4 humidity For model y=time humidity 08:39 Wednesday, July 9, 2008 4 The GLM Procedure Number of Observations Read 12 Number of Observations Used 12 For model y=time humidity 08:39 Wednesday, July 9, 2008 5 The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 2 31.12416667 15.56208333 104.13 <.0001 Error 9 1.34500000 0.14944444 Corrected Total 11 32.46916667 R-Square Coeff Var Root MSE y Mean 0.958576 7.018102 0.386580 5.508333 Source DF Type I SS Mean Square F Value Pr > F time 1 26.00416667 26.00416667 174.01 <.0001 humidity 1 5.12000000 5.12000000 34.26 0.0002 Source DF Type III SS Mean Square F Value Pr > F time 1 26.00416667 26.00416667 174.01 <.0001 humidity 1 5.12000000 5.12000000 34.26 0.0002 Standard Parameter Estimate Error t Value Pr > |t| Intercept 0.666666667 0.69423219 0.96 0.3620 time 1.316666667 0.09981464 13.19 <.0001 humidity -8.000000000 1.36676829 -5.85 0.0002 For model y=time humidity 08:39 Wednesday, July 9, 2008 6 Obs y yhat res1 press1 1 4.3 4.33333 -0.03333 -0.05195 2 5.5 5.65000 -0.15000 -0.19355 3 6.8 6.96667 -0.16667 -0.21505 4 8.0 8.28333 -0.28333 -0.44156 5 4.0 3.53333 0.46667 0.60870 6 5.2 4.85000 0.35000 0.38889 7 6.6 6.16667 0.43333 0.48148 8 7.5 7.48333 0.01667 0.02174 9 2.0 2.73333 -0.73333 -1.14286 10 4.0 4.05000 -0.05000 -0.06452 11 5.7 5.36667 0.33333 0.43011 12 6.5 6.68333 -0.18333 -0.28571 Note the huge difference between full model error and PRESS error 7 08:39 Wednesday, July 9, 2008 The MEANS Procedure Variable Mean Variance USS -------------------------------------------------------- res1 1.221245E-15 0.1222727 1.3450000 press1 -0.0386903 0.2358518 2.6123334 -------------------------------------------------------- Note the huge difference between full model error and PRESS error 8 08:39 Wednesday, July 9, 2008 Plot of res1*y. Legend: A = 1 obs, B = 2 obs, etc. res1 | | 0.6 + | | | | A | A 0.4 + | A | A | | | 0.2 + | | | | | A 0.0 + | A A | | | A | A A -0.2 + | | A | | | -0.4 + | | | | | -0.6 + | | | | A | -0.8 + | --+----------+----------+----------+----------+----------+----------+-- 2 3 4 5 6 7 8 y Note the huge difference between full model error and PRESS error 9 08:39 Wednesday, July 9, 2008 The GLM Procedure Class Level Information Class Levels Values humidity 3 0.2 0.3 0.4 Number of Observations Read 12 Number of Observations Used 12 Note the huge difference between full model error and PRESS error 10 08:39 Wednesday, July 9, 2008 The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 3 31.72583333 10.57527778 113.81 <.0001 Error 8 0.74333333 0.09291667 Corrected Total 11 32.46916667 R-Square Coeff Var Root MSE y Mean 0.977106 5.533840 0.304822 5.508333 Source DF Type I SS Mean Square F Value Pr > F time 1 26.00416667 26.00416667 279.87 <.0001 humidity 2 5.72166667 2.86083333 30.79 0.0002 Source DF Type III SS Mean Square F Value Pr > F time 1 26.00416667 26.00416667 279.87 <.0001 humidity 2 5.72166667 2.86083333 30.79 0.0002