0. 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.
1. Construct the k nearest neighbors scheme for predicting upgrades based on the data given in Table 2, and interpret the confusion matrix.

2. According to the data given in part 1, estimate the probability of upgrade for each division of the purchase amount, using Bayes' theorem.

PlatProfile UpGrade Purchases 0 7.471 21.142 RowNear 1 7 RowNear 2 40 RowNear 3 26 RowNear 4 29 1 0 N 0 0 33 10 25 14 3 1 39.925 1 17 19 37 38 4 1 32.450 1 32 22 39 38 LO 1 48.950 1 9 11 31 24 6 0 28.520 1 35 20 32 4 7 0 7.822 0 40 1 26 29 00 0 26.548 0 36 13 25 33 9 1 48.831 1 5 11 31 24 10 0 17.584 0 14 2 29 33 11 1 49.820 1 5 9 31 15 12 1 50.450 0 21 18 28 23 13 0 28.175 0 36 00 34 25 14 0 16.200 0 10 29 2 33 15 1 52.978 1 31 27 11 5 16 1 58.945 1 27 15 31 11 17 1 40.075 1 3 37 19 38 18 1 42.380 0 28 23 12 21 19 1 38.110 1 3 17 38 39 20 1 26.185 1 35 6 32 4 21 0 52.810 0 12 18 28 23 22 1 34.521 1 39 38 4 19 23 0 34.750 0 30 28 34 13 24 1 46.254 1 9 5 11 37 25 0 24.811 0 33 8 36 13 26 0 4.792 0 1 7 40 29 27 1 55.920 1 15 16 31 11 28 0 38.620 0 18 23 30 34 29 0 12.742 0 14 40 10 7 30 0 31.950 0 34 23 13 36 31 1 51.211 1 11 15 5 9 32 1 30.920 1 4 6 35 22 33 0 23.527 0 25 2 8 36 34 0 30.225 0 30 13 36 8 35 0 1 6 20 32 4 28.387 27.480 36 0 0 13 8 25 34 37 1 41.950 1 17 3 19 24 38 1 34.995 1 39 22 4 19 39 0 34.964 1 38 22 4 19 40 0 7.998 0 7 1 26 29 41 42.571 1 42 51.835 0