MTB > let c4 = c3/c2 MTB > let c5 = loge(c4/(1 - c4)) MTB > print c1-c5 ROW C1 C2 C3 C4 C5 1 5 200 32 0.160 -1.65823 2 10 200 51 0.255 -1.07212 3 15 200 70 0.350 -0.61904 4 20 200 103 0.515 0.06002 5 30 200 148 0.740 1.04597 MTB > let c6 = c2*c4*(1 - c4) MTB > print c1-c6 ROW C1 C2 C3 C4 C5 C6 1 5 200 32 0.160 -1.65823 26.880 2 10 200 51 0.255 -1.07212 37.995 3 15 200 70 0.350 -0.61904 45.500 4 20 200 103 0.515 0.06002 49.955 5 30 200 148 0.740 1.04597 38.480 MTB > plot c5 c1 - 1.0+ * - C5 - - - 0.0+ * - - - * - -1.0+ * - - - * - -2.0+ ----+---------+---------+---------+---------+---------+--C1 5.0 10.0 15.0 20.0 25.0 30.0 MTB > regress c5 1 c1 c11 c12 The regression equation is C5 = - 2.19 + 0.109 C1 Predictor Coef Stdev t-ratio p Constant -2.18602 0.05722 -38.20 0.000 C1 0.108584 0.003150 34.47 0.000 s = 0.06059 R-sq = 99.7% R-sq(adj) = 99.7% Analysis of Variance SOURCE DF SS MS F p Regression 1 4.3624 4.3624 1188.27 0.000 Error 3 0.0110 0.0037 Total 4 4.3735 MTB > regress c5 1 c1 c21 c22; SUBC> weights c6. The regression equation is C5 = - 2.19 + 0.109 C1 Predictor Coef Stdev t-ratio p Constant -2.18506 0.06783 -32.21 0.000 C1 0.108700 0.003632 29.93 0.000 Analysis of Variance SOURCE DF SS MS F p Regression 1 151.98 151.98 895.53 0.000 Error 3 0.51 0.17 Total 4 152.49 MTB > print c1 c4 c12 c22 ROW C1 C4 C12 C22 1 5 0.160 -1.64310 -1.64156 2 10 0.255 -1.10018 -1.09806 3 15 0.350 -0.55726 -0.55455 4 20 0.515 -0.01435 -0.01105 5 30 0.740 1.07149 1.07595 MTB > let c13 = expo(c12)/(1 + expo(c12)) MTB > let c23 = expo(c22)/(1 + expo(c22)) MTB > print c1 c4 c13 c23 ROW C1 C4 C13 C23 1 5 0.160 0.162044 0.162253 2 10 0.255 0.249706 0.250104 3 15 0.350 0.364181 0.364808 4 20 0.515 0.496414 0.497237 5 30 0.740 0.744880 0.745727