Question 1 (5 points). Below is the output of a decision tree constructed using SAS Enterprise Miner. Variable Importance Number of Variable Nas Label Splitting Rules Importance Validation Importance Ratio of Validation to Training Importance GiftCnt36 GiftTimeLast PromCntAll DenMedHomeValue StatusCatStarAll Gift Count 36 Months 1.0000 1.0000 1.0000 Time since Last Gift 1 0.5493 0.6180 1.1251 Promotion Count All Months 1 0.4676 0.2387 0.5104 Median Home Value Region 1 0.4643 0.2631 0.5666 Status Category Star All Months 2 0.3917 0.4216 1.0763 Gift Amount Average All Months 0.3799 0.2315 0.6093 GiftTimeFirst Time Since First Gift 0.3529 0.3310 0.9379 Tree Leaf Report Training Node Id Depth Training Observations Percent Validation Validation Observationa Percent 1 6 2 1780 0.61 884 0.62 11 3 1284 0.45 634 0.43 15 3 976 0.47 474 0.47 9 3 750 0.34 405 0.35 14 3 685 0.59 397 0.54 21 4 511 0.40 212 0.48 17 4 394 0.42 194 0.45 20 4 57 0.01 21 0.71 16 4 19 0.84 9 0.89 Data Role-VALIDATE Target Variable-target_churn Target Label-Churn 1 or 0 Mean Depth Gain Lift Cumulative Lift * Response Cumulative * Response Number of Observations Posterior Probability 5 89.0862 1.89086 1.89086 10 89.0862 1.89086 1.89086 91.8534 91.8534 91.8534 118 0.93075 91.8534 118 0.93075 15 89.0862 1.89086 1.89086 91.8534 91.8534 118 0.93075 20 89.0862 1.89086 1.89086 91.8534 91.8534 117 0.93075 25 83.2418 1.59914 1.83242 77.6820 89.0143 118 0.79089 30 75.4210 1.36383 1.75421 66.2515 85.2151 118 0.69031 35 68.7653 1.28887 1.68765 62.6102 81.9819 118 0.66976 40 63.8123 1.28887 1.63812 62.6102 79.5759 117 0.66976 45 59.9244 1.28887 1.59924 62.6102 77.6873 118 0.66976 50 56.8154 1.28887 1.56815 62.6102 76.1770 118 0.66976 55 50.4833 0.87269 1.50483 42.3933 73.1010 118 0.35899 60 44.8807 0.82821 1.44881 40.2324 70.3794 117 0.33191 65 38.3504 0.60153 1.38350 29.2208 67.2072 118 0.30000 70 32.7547 0.60153 1.32755 29.2208 64.4889 118 0.30000 75 26.8410 0.44200 1.26841 21.4711 61.6162 118 0.22239 80 20.1650 0.19340 1.20165 9.3949 58.3731 117 0.07717 85 14.2223 0.19340 1.14222 9.3949 55.4863 118 0.07717 90 8.9411 0.19340 1.08941 9.3949 52.9208 118 0.07717 95 4.2168 0.19340 1.04217 9.3949 50.6259 118 0.07717 100 0.0000 0.19340 1.00000 9.3949 48.5775 117 0.07717 1) What are the two least important input variables in the decision tree? Why? (2 point)