Note c2-c5 are Xi(1) Xi(3) Xi(5) W MTB > describe c2-c5 N MEAN MEDIAN TRMEAN STDEV SEMEAN C2 40 44.16 43.90 44.09 7.24 1.14 C3 40 54.21 53.63 54.21 7.24 1.14 C4 40 64.27 63.21 64.49 9.24 1.46 C5 40 14.992 15.200 14.986 2.803 0.443 MIN MAX Q1 Q3 C2 30.45 59.35 38.18 49.56 C3 39.87 67.71 48.61 60.45 C4 42.06 81.84 57.90 73.01 C5 9.462 20.399 13.288 16.837 MTB > print c1-c5 ROW C1 C2 C3 C4 C5 1 1 37.5591 49.2905 61.0219 15.9725 2 2 45.6543 51.5845 57.5147 15.3772 3 3 40.9388 52.8798 64.8208 11.4790 4 4 47.3594 55.4488 63.5382 16.8894 5 5 52.7051 62.7035 72.7019 19.1783 6 6 30.4523 46.3408 62.2293 11.8182 7 7 43.6463 58.3700 73.0938 15.3287 8 8 41.1555 49.2628 57.3700 13.2081 9 9 44.1515 51.9980 59.8446 13.0904 10 10 38.1596 46.5943 55.0289 10.3156 11 11 37.6759 39.8673 42.0587 10.2613 12 12 45.3005 54.3828 63.4651 15.5985 13 13 39.3695 48.1535 56.9376 13.9009 14 14 36.6637 43.7512 50.8387 13.5257 15 15 53.3985 62.3164 71.2344 14.4470 16 16 59.3546 62.8025 66.2505 20.1588 17 17 53.1397 64.3491 75.5585 16.1145 18 18 44.9017 58.8249 72.7481 15.0577 19 19 41.7863 59.4402 77.0942 18.3338 20 20 38.2456 48.9803 59.7150 13.7722 21 21 47.2360 60.7889 74.3419 15.8823 22 22 53.5713 67.7081 81.8449 18.2535 23 23 35.5429 43.5109 51.4790 10.1454 24 24 37.5435 50.2488 62.9541 9.4617 25 25 37.0655 49.7070 62.3485 15.8149 26 26 32.3981 44.6891 56.9800 11.6046 27 27 45.2164 62.0766 78.9367 14.0775 28 28 35.6718 47.4212 59.1706 12.1867 29 29 38.3018 51.1347 63.9675 14.0722 30 30 52.6135 55.5175 58.4216 16.6798 31 31 38.3620 48.4903 58.6186 15.0716 32 32 45.1399 51.4356 57.7314 13.9429 33 33 53.8190 64.2745 74.7299 20.3992 34 34 49.4558 61.4248 73.3937 15.9967 35 35 56.2855 59.0422 61.7988 17.4674 36 36 49.5883 57.5779 65.5674 17.2962 37 37 41.4488 59.4312 77.4136 15.8574 38 38 47.4177 57.4216 67.4255 18.9465 39 39 56.9980 65.7324 74.4667 18.8964 40 40 41.0608 43.5436 46.0265 13.7900 MTB > corr c2-c5 C2 C3 C4 C3 0.842 C4 0.536 0.907 C5 0.766 0.765 0.598 MTB > regress c4 2 c2 c3 The regression equation is C4 = -0.000003 - 1.00 C2 + 2.00 C3 Predictor Coef Stdev t-ratio p Constant -0.00000309 0.00000000 * * C2 -1.00000 0.00000 * * C3 2.00000 0.00000 * * s = 0 R-sq = 100.0% R-sq(adj) = 100.0% Analysis of Variance SOURCE DF SS MS F p Regression 2 3330.4 1665.2 * * Error 37 0.0 0.0 Total 39 3330.4 SOURCE DF SEQ SS C2 1 956.1 C3 1 2374.3 MTB > GStd. MTB > Plot c4 c3; SUBC> Symbol '*'; SUBC> Title 'time 5 vs time 3'. time 5 vs time 3 - C4 - - * - 2 * 75+ * 2 * - ** * ** - - * 2 * - * *** ** * 60+ * *2 * - * * * 2 * - * - 2 - 45+ * - * - --------+---------+---------+---------+---------+--------C3 42.0 48.0 54.0 60.0 66.0 MTB > GPro. MTB > GStd. MTB > Plot c4 c2; SUBC> Symbol '*'; SUBC> Title 'time 5 vs time 1'. time 5 vs time 1 - C4 - - * - ** * 75+ * ** * - * * * ** - - * * * * - * *** * * * 60+ * *2 * - * * * ** * - * - * * - 45+ * - * - ----+---------+---------+---------+---------+---------+--C2 30.0 36.0 42.0 48.0 54.0 60.0 MTB > GPro. MTB > GStd. MTB > Plot c3 c2; SUBC> Symbol '*'; SUBC> Title 'time 3 vs time 1'. time 3 vs time 1 - * C3 - * - ** - * * ** * 60+ ** * * - * * * * - * * - * - * * *** 50+ *2 * - * 2 * - * * - * * * * - 40+ * - - ----+---------+---------+---------+---------+---------+--C2 30.0 36.0 42.0 48.0 54.0 60.0 MTB > note let's look at exog variable in c5 MTB > regress c4 2 c5 c3 The regression equation is C4 = 0.68 - 0.757 C5 + 1.38 C3 Predictor Coef Stdev t-ratio p Constant 0.683 4.555 0.15 0.882 C5 -0.7570 0.3329 -2.27 0.029 C3 1.3822 0.1290 10.72 0.000 s = 3.752 R-sq = 84.4% R-sq(adj) = 83.5% Analysis of Variance SOURCE DF SS MS F p Regression 2 2809.5 1404.8 99.80 0.000 Error 37 520.8 14.1 Total 39 3330.4 SOURCE DF SEQ SS C5 1 1192.8 C3 1 1616.7 Unusual Observations Obs. C5 C4 Fit Stdev.Fit Residual St.Resid 19 18.3 77.094 68.962 0.947 8.132 2.24R R denotes an obs. with a large st. resid. MTB > regress c4 2 c5 c2 The regression equation is C4 = 31.2 + 1.50 C5 + 0.239 C2 Predictor Coef Stdev t-ratio p Constant 31.213 7.546 4.14 0.000 C5 1.5004 0.6678 2.25 0.031 C2 0.2392 0.2587 0.92 0.361 s = 7.514 R-sq = 37.3% R-sq(adj) = 33.9% Analysis of Variance SOURCE DF SS MS F p Regression 2 1241.10 620.55 10.99 0.000 Error 37 2089.28 56.47 Total 39 3330.38 SOURCE DF SEQ SS C5 1 1192.84 C2 1 48.26 Unusual Observations Obs. C5 C4 Fit Stdev.Fit Residual St.Resid 27 14.1 78.94 63.15 1.45 15.79 2.14R 40 13.8 46.03 61.72 1.31 -15.70 -2.12R R denotes an obs. with a large st. resid. MTB > regress c4 3 c5 c3 c2 The regression equation is C4 = -0.000003 -0.000000 C5 + 2.00 C3 - 1.00 C2 Predictor Coef Stdev t-ratio p Constant -0.00000312 0.00000000 * * C5 -0.00000004 0.00000000 * * C3 2.00000 0.00000 * * C2 -1.00000 0.00000 * * s = 0 R-sq = 100.0% R-sq(adj) = 100.0% Analysis of Variance SOURCE DF SS MS F p Regression 3 3330.4 1110.1 * * Error 36 0.0 0.0 Total 39 3330.4 SOURCE DF SEQ SS C5 1 1192.8 C3 1 1616.7 C2 1 520.8 MTB > GStd. MTB > Plot C2 C5; SUBC> Symbol '*'; SUBC> Title 'time=1 vs W'. time=1 vs W 60+ * - C2 - * * - * * * * - * * 50+ * * - * * * - 2 ** - * * * - * * * * 40+ * * - * ** ** * ** - * * * - - * 30+ * - ----+---------+---------+---------+---------+---------+--C5 10.0 12.0 14.0 16.0 18.0 20.0 MTB > GPro. MTB > GStd. MTB > Plot C3 C5; SUBC> Symbol '*'; SUBC> Title 'time=3 vs W'. time=3 vs W - * C3 - * - * * - * * * * * 60+ 2 * * - * * * * - ** - * - * * 2 * 50+ * * ** - * ** * - * * - * * ** - 40+ * - - ----+---------+---------+---------+---------+---------+--C5 10.0 12.0 14.0 16.0 18.0 20.0 MTB > GPro. MTB > GStd. MTB > Plot C4 C5; SUBC> Symbol '*'; SUBC> Title 'time=5 vs W'. time=5 vs W - C4 - - * - * * * 75+ * * * * - * * * * * - - * * * * - * * * ** * * 60+ * * * * * - * * 2 * * - * - * * - 45+ * - * - ----+---------+---------+---------+---------+---------+--C5 10.0 12.0 14.0 16.0 18.0 20.0 MTB > GPro. MTB > corr c2-c5 C2 C3 C4 C3 0.842 C4 0.536 0.907 C5 0.766 0.765 0.598 ================================================================ ================================================================ NOTE c22-c25 are X(1) X(3) X(5) W MTB > corr c22-c25 C22 C23 C24 C23 0.716 C24 0.491 0.741 C25 0.716 0.652 0.619 MTB > regress c24 2 c22 c23 The regression equation is C24 = 5.05 - 0.121 C22 + 1.19 C23 Predictor Coef Stdev t-ratio p Constant 5.054 9.052 0.56 0.580 C22 -0.1212 0.2360 -0.51 0.611 C23 1.1943 0.2358 5.07 0.000 s = 7.507 R-sq = 55.2% R-sq(adj) = 52.7% Analysis of Variance SOURCE DF SS MS F p Regression 2 2565.3 1282.7 22.76 0.000 Error 37 2085.1 56.4 Total 39 4650.4 SOURCE DF SEQ SS C22 1 1119.6 C23 1 1445.7 Unusual Observations Obs. C22 C24 Fit Stdev.Fit Residual St.Resid 37 37.5 80.05 75.71 3.58 4.34 0.66 X X denotes an obs. whose X value gives it large influence. MTB > note use W with fallible data MTB > regress c24 2 c25 c23 The regression equation is C24 = 3.04 + 0.924 C25 + 0.876 C23 Predictor Coef Stdev t-ratio p Constant 3.038 8.705 0.35 0.729 C25 0.9240 0.5471 1.69 0.100 C23 0.8763 0.2100 4.17 0.000 s = 7.259 R-sq = 58.1% R-sq(adj) = 55.8% Analysis of Variance SOURCE DF SS MS F p Regression 2 2700.8 1350.4 25.63 0.000 Error 37 1949.7 52.7 Total 39 4650.4 SOURCE DF SEQ SS C25 1 1783.5 C23 1 917.2 Unusual Observations Obs. C25 C24 Fit Stdev.Fit Residual St.Resid 27 14.1 83.92 69.66 2.20 14.26 2.06R R denotes an obs. with a large st. resid. MTB > regress c24 2 c25 c22 The regression equation is C24 = 25.7 + 2.14 C25 + 0.145 C22 Predictor Coef Stdev t-ratio p Constant 25.690 8.821 2.91 0.006 C25 2.1431 0.7181 2.98 0.005 C22 0.1447 0.2759 0.52 0.603 s = 8.770 R-sq = 38.8% R-sq(adj) = 35.5% Analysis of Variance SOURCE DF SS MS F p Regression 2 1804.70 902.35 11.73 0.000 Error 37 2845.74 76.91 Total 39 4650.44 SOURCE DF SEQ SS C25 1 1783.55 C22 1 21.16 Unusual Observations Obs. C25 C24 Fit Stdev.Fit Residual St.Resid 27 14.1 83.92 62.25 1.56 21.67 2.51R 40 13.8 42.67 61.03 1.58 -18.36 -2.13R R denotes an obs. with a large st. resid. MTB > regress c24 3 c25 c23 c22 The regression equation is C24 = 4.47 + 1.36 C25 + 1.04 C23 - 0.389 C22 Predictor Coef Stdev t-ratio p Constant 4.467 8.602 0.52 0.607 C25 1.3637 0.6093 2.24 0.032 C23 1.0446 0.2338 4.47 0.000 C22 -0.3893 0.2542 -1.53 0.134 s = 7.131 R-sq = 60.6% R-sq(adj) = 57.4% Analysis of Variance SOURCE DF SS MS F p Regression 3 2820.00 940.00 18.49 0.000 Error 36 1830.44 50.85 Total 39 4650.44 SOURCE DF SEQ SS C25 1 1783.55 C23 1 917.21 C22 1 119.25 Unusual Observations Obs. C25 C24 Fit Stdev.Fit Residual St.Resid 17 16.1 78.98 63.54 2.54 15.44 2.32R R denotes an obs. with a large st. resid. MTB >