1. Data on the amount of the customers' shopping by using an account card and whether they decided to upgrade their account from silver status to platinum status after receiving the upgrade offer is shown in Table 2.

a. Construct the k nearest neighbor scheme for predicting upgrades based on the data given in Table 2, and interpret the confusion matrix.

2. The data are given in part 1 estimate the probability of upgrade for each division of the purchase amount using Bayes' theorem. Please provide your work in detail and include in-text citations. At least six (6) peer-reviewed references are required for PA’s and CLA’s

 

UpGrade Purchases PlatProfile RowNear 1 RowNear 2 RowNear 3 RowNear 4 1 7.471 7 40 26 29 2 21.142 33 10 25 14 3 1 39.925 17 19 37 38 4 32.450 32 22 39 38 1 48.950 11 31 24 28.520 1 35 20 32 4 7.822 40 26 29 26.548 36 13 25 33 9 48.831 1 11 31 24 10 17.584 14 2 29 33 11 49.820 1 5 9 31 15 12 50.450 21 18 28 23 13 28.175 36 8 34 25 14 16.200 10 29 2 33 15 52.978 1 31 27 11 5 16 58.945 1 27 15 31 11 17 1 40.075 1 3 37 19 38 18 42.380 28 23 12 21 19 38.110 1 3 17 38 39 20 26.185 1. 35 6 32 4 21 52.810 12 18 28 23 22 34.521 1 39 38 4 19 23 34.750 30 28 34 13 24 1 46.254 1 9 11 37 25 24.811 33 8 36 13 26 4.792 1 40 29 27 1 55.920 1. 15 16 31 11 28 38.620 18 23 30 34 29 12.742 14 40 10 7 30 31.950 34 23 13 36 31 1 51.211 1. 11 15 5 32 30.920 4 35 22 33 23.527 25 2 8 36 34 30.225 30 13 36 8. 35 28.387 6. 20 32 4 36 27.480 13 8 25 34 37 41.950 17 3. 19 24 38 34.995 1 39 22 4 19 39 34.964 1 38 22 19 40 7.998 26 29 41 42.571 42 51.835