Part XXXXXXXXXXpoints). A state is considering an overhaul of its restaurant health-inspection protocol. The data in columns A through E resulted from inspections done (“Pass” or “Fail” using the...

Part 1 (120 points).A state is considering an overhaul of its restaurant health-inspection protocol. The data in columns A through E resulted from inspections done (“Pass” or “Fail” using the proposed protocol) on a large number of small (seating cap.

1. Using your first 200 observations as a training sample, formulate (and summarize) a logistic regression model that would allow you to predict whether a particular location will pass the inspection. How do those predictors that you use in your model influence the likelihood of a location’s passing? Are all predictors "significant"?


2. Having decided on a model, use it to estimate the likelihood of your 100 held-out restaurants passing the inspection (use this rule … if the estimated probability of passing is less than or equal to 0.45, forecast that restaurant as a “fail”; if the estimated probability is greater than or equal to 0.55, forecast that restaurant as a “pass”). Summarize how well this fitted model works with a confusion matrix.

Part 2 (80 points).Using the same 200 observations you used to formulate your logistic regression model, develop (and prune, if appropriate) a classification tree to predict a restaurant’s inspection result. Draw a picture of this tree and summarize how well it predicts results in your hold-out sample with a confusion matrix.

Sheet1 RESULTEXPERAGECHAINREGION PASS1061B FAIL13111A PASS1861B FAIL13110B FAIL591C FAIL13110A PASS1551C FAIL1090A PASS1661C PASS8120B PASS1120B FAIL10101C PASS1460B FAIL1190B PASS1261C FAIL2091C FAIL13101C FAIL1270A FAIL1150C FAIL1361A PASS8120B PASS1061B FAIL13101C FAIL1190B PASS1261C PASS1551C FAIL13111A PASS1661C FAIL2091C PASS1460B FAIL591C PASS1120B FAIL1090A FAIL1361A PASS1861B FAIL13110A FAIL13110B FAIL1270A FAIL10101C FAIL1150C PASS1061B FAIL13111A PASS1861B FAIL13110B FAIL591C FAIL13110A PASS1551C FAIL1090A PASS1661C PASS8120B PASS1120B FAIL10101C PASS1460B FAIL1190B PASS1261C FAIL2091C FAIL13101C FAIL1270A FAIL1150C FAIL1361A PASS8120B PASS1061B FAIL13101C FAIL1190B PASS1261C PASS1551C FAIL13111A PASS1661C FAIL2091C PASS1460B FAIL591C PASS1120B FAIL1090A FAIL1361A PASS1861B FAIL13110A FAIL13110B FAIL1270A FAIL10101C FAIL1150C PASS1061B FAIL13111A PASS1861B FAIL13110B FAIL591C FAIL13110A PASS1551C FAIL1090A PASS1661C PASS8120B PASS1120B FAIL10101C PASS1460B FAIL1190B PASS1261C FAIL2091C FAIL13101C FAIL1270A FAIL1150C FAIL1361A PASS8120B PASS1061B FAIL13101C FAIL1190B PASS1261C PASS1551C FAIL13111A PASS1661C FAIL2091C PASS1460B FAIL591C PASS1120B FAIL1090A FAIL1361A PASS1861B FAIL13110A FAIL13110B FAIL1270A FAIL10101C FAIL1150C PASS1061B FAIL13111A PASS1861B FAIL13110B FAIL591C FAIL13110A PASS1551C FAIL1090A PASS1661C PASS8120B PASS1120B FAIL10101C PASS1460B FAIL1190B PASS1261C FAIL2091C FAIL13101C FAIL1270A FAIL1150C FAIL1361A PASS8120B PASS1061B FAIL13101C FAIL1190B PASS1261C PASS1551C FAIL13111A PASS1661C FAIL2091C PASS1460B FAIL591C PASS1120B FAIL1090A FAIL1361A PASS1861B FAIL13110A FAIL13110B FAIL1270A FAIL10101C FAIL1150C PASS1061B FAIL13111A PASS1861B FAIL13110B FAIL591C FAIL13110A PASS1551C FAIL1090A PASS1661C PASS8120B PASS1120B FAIL10101C PASS1460B FAIL1190B PASS1261C FAIL2091C FAIL13101C FAIL1270A FAIL1150C FAIL1361A PASS8120B PASS1061B FAIL13101C FAIL1190B PASS1261C PASS1551C FAIL13111A PASS1661C FAIL2091C PASS1460B FAIL591C PASS1120B FAIL1090A FAIL1361A PASS1861B FAIL13110A FAIL13110B FAIL1270A FAIL10101C FAIL1150C PASS1061B FAIL13111A PASS1861B FAIL13110B FAIL591C FAIL13110A PASS1551C FAIL1090A PASS1661C PASS8120B PASS1120B FAIL10101C PASS1460B FAIL1190B PASS1261C FAIL2091C FAIL13101C FAIL1270A FAIL1150C FAIL1361A PASS8120B PASS1061B FAIL13101C FAIL1190B PASS1261C PASS1551C FAIL13111A PASS1661C FAIL2091C PASS1460B FAIL591C PASS1120B FAIL1090A FAIL1361A PASS1861B FAIL13110A FAIL13110B FAIL1270A FAIL10101C FAIL1150C PASS1061B FAIL13111A PASS1861B FAIL13110B FAIL591C FAIL13110A PASS1551C FAIL1090A PASS1661C PASS8120B PASS1120B FAIL10101C PASS1460B FAIL1190B PASS1261C FAIL2091C FAIL13101C FAIL1270A FAIL1150C FAIL1361A PASS8120B PASS1061B FAIL13101C FAIL1190B PASS1261C PASS1551C FAIL13111A PASS1661C FAIL2091C PASS1460B FAIL591C PASS1120B FAIL1090A FAIL1361A PASS1861B FAIL13110A FAIL13110B FAIL1270A FAIL10101C FAIL1150C PASS1061B FAIL13111A PASS1861B FAIL13110B FAIL591C FAIL13110A PASS1551C FAIL1090A PASS1661C PASS8120B PASS1120B FAIL10101C PASS1460B FAIL1190B PASS1261C FAIL2091C FAIL13101C FAIL1270A FAIL1150C FAIL1361A