For Analytic Solver, partition data sets into 50% training, 30% validation, and 20% test and use 12345 as the default random seed. If the predictor variable values are in the character format, th

 For Analytic Solver, partition data sets into 50% training, 30% validation, and 20% test and use 12345 as the default random seed. If the predictor variable values are in the character format, then treat the predictor variable as a categorical variable. Otherwise, treat the predictor variable as a numerical variable.

The excel worksheet of the accompanying data file is used to classify individuals as likely or unlikely to attend church using five predictor variables: years of education (Educ), annual income (Income in $), age, sex (F = female, M = male), and marital status (Married, Y = yes, N = no). The outcome variable is Church (1 = attends, 0 otherwise). Create a classification tree model for predicting whether the individual is likely to attend church.

a-1. How many leaf nodes are in the best-pruned tree and minimum error tree?

a-2. Which of the following is NOT a rule that can be derived from the best-pruned tree?

multiple choice

  • If age is greater than or equal to 34.5 then the individual is likely to go to church.
  • If age is greater than or equal to 34.5 then the individual is not likely to go to church.
  • If age is less than 34.5 then the individual is not likely to go to church.
  • If age is greater than or equal to 34.5 , the income is greater than or equal to 10 , 600 , and the age is greater than or equal to 62.5 then the individual is likely to go to church.

b. What are the accuracy rate, sensitivity, specificity, and precision of the best-pruned tree on the test data?

Note: Round your answers to 2 decimal places.

c. Generate the ROC curve. What is the area under the ROC curve (or AUC value)?

Note: Round your answer to 4 decimal places.

d. Score the cases in the Church_Score worksheet using the best-pruned tree. What percentage of the individuals in the score data set are likely to go to church based on a cutoff probability value of 0.5?

Note: Round your answer to 2 decimal places.

Sheet1

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Educ Income Age Sex Married Church
8 97700 71 F N 1
18 3900 35 F Y 1
15 124500 33 M Y 0
15 57400 54 F Y 1
15 108500 32 M Y 0
18 95500 44 F Y 1
20 120200 49 M N 1
18 151300 45 M Y 1
20 144400 66 M Y 0
20 39400 57 F Y 0
18 195600 43 F Y 1
15 48800 37 M Y 1
13 109800 50 F Y 0
18 366400 46 F N 1
20 110600 59 F Y 0
18 46700 56 F Y 1
15 273200 38 F Y 0
18 154400 51 M Y 1
15 138700 31 M Y 0
18 132000 46 F Y 1
8 57500 66 F N 0
18 90100 37 F Y 1
12 233500 43 F Y 0
12 155000 36 F Y 1
20 86100 60 F Y 0
18 145600 37 F Y 0
8 118500 48 M Y 0
12 93200 34 F Y 0
15 227400 36 F Y 0
20 32300 53 F Y 1
18 216400 40 F N 1
18 61000 50 F N 0
15 107000 30 F Y 1
16 50200 59 F Y 1
8 37200 57 M Y 1
15 139400 36 F Y 1
18 30500 45 M N 1
8 257000 44 M Y 0
15 132400 29 F Y 0
16 62700 67 F Y 0
20 40800 61 F N 1
18 47600 40 F N 1
20 126400 62 M Y 0
16 215300 60 M Y 1
18 59700 44 M N 1
15 69400 42 M Y 0
20 259700 42 F Y 1
18 177100 53 F Y 0
8 25600 43 F N 0
20 5900 43 F Y 0
20 128900 60 F N 0
12 204600 45 F Y 0
20 34800 46 F N 0
20 26600 59 F Y 1
15 167300 45 F Y 1
18 115100 46 F N 1
20 221500 52 F Y 1
8 229800 44 F Y 1
18 11300 45 F N 1
20 221100 70 F Y 0
12 190700 45 F Y 1
15 80400 37 F Y 0
15 68100 56 F Y 0
15 84100 50 F Y 1
18 541700 49 F Y 1
18 485600 42 F N 1
15 285100 35 F Y 0
20 49200 71 F N 0
15 297700 29 F Y 0
20 212900 49 F Y 0
20 76400 58 F N 1
8 109800 56 F N 1
20 105600 57 F Y 1
15 154500 30 M Y 0
15 513600 29 F Y 0
10 157300 55 M Y 0
16 182600 45 M Y 0
20 64300 40 F N 0
15 17700 60 F Y 1
15 175600 35 F Y 1
18 48600 55 F N 1
20 30500 60 F N 0
15 417200 33 F Y 0
18 127500 37 F Y 1
18 45400 48 F Y 1
15 252200 34 F Y 0
15 17300 36 F Y 0
12 130800 43 F Y 0
20 103700 60 F Y 0
15 55400 40 M Y 1
12 130700 44 M Y 1
18 57200 53 M Y 1
8 47400 49 M Y 1
20 107700 62 F Y 1
12 188300 32 M Y 0
9 95500 35 F N 0
18 44200 48 F N 1
20 51500 54 F Y 0
15 16800 49 F Y 0
20 86400 48 F Y 1
15 174500 34 M Y 0
8 38500 41 F Y 1
18 136600 46 F Y 0
8 96400 32 F Y 1
18 143300 49 F Y 0
15 133600 41 F Y 0
8 22300 66 M Y 1
8 59600 38 M N 1
18 125000 48 F Y 1
18 20700 43 F Y 0
20 45100 63 F N 1
20 124300 67 M Y 1
10 23800 54 F Y 0
8 26000 41 F N 1
20 113600 56 M N 1
15 67100 43 F Y 0
16 338500 56 M Y 0
20 119000 63 F Y 0