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    Assume that you are a sales manager for a telecommunication company and that your company has a mobile phone operation. Due to the introduction of a special subscription plan by your competitor, you have lost some customers to them within the first several days. In order to prevent further loss, your manager would like you to take a close look at the following data set sampled from those customers who responded to a survey. In the survey, the customers were asked if they would remain with the current subscription plan or switch to the competitor’s.

    Customer Average  Average   Total                                    Decision
    No.         Monthly   Payment   Duration of Calls Calling Time
    1 215.16 6.84 41.63 Stay
    2 320.32 14.76 97.25 Switch
    3 218.24 3.96 124.88 Stay
    4 352.00 8.04 56.00 Undecided
    5 259.16 11.88 82.50 Stay
    6 462.44 2.64 162.38 Undecided
    7 220.66 2.16 69.75 Switch
    8 214.72 8.04 96.88 Switch
    9 373.78 9.24 122.50 Undecided
    10 409.86 17.28 180.50 Switch
    11 378.62 18.60 83.50 Undecided
    12 195.36 5.88 138.88 Switch
    13 291.94 9.00 111.13 Stay
    14 342.10 12.00 96.38 Stay
    15 317.68 10.68 126.38 Switch
    16 197.54 4.4 147.3 Stay
    17 404.43 17.4 171.7 Switch
    18 264.11 5.7 107.1 Switch
    19 430.44 3.14 100.74 Undecided
    20 273.43 8.7 98.7 Undecided

    a) Assume that k = 5, using the k-NN algorithm, what do you expect the decision of a customer, who has an average monthly payment of 293.26, an average duration of calls of 6.96 and a total calling time of 110.25, to be?

    b) Assume again that k = 5 and ignoring the "decision" of the customers. Using the k-NN algorithm, what do you expect the average duration of calls of a customer to be, given that his average monthly payment of 271.48 and a total calling time of 114.00?

    c) If you are free to choose the value of k, what will your choice be? Why?


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