Question

1. A company wants to apply k-NN to find out whether new customers response to its marketing campaign or not. We have data of six existing customers and their response. In the table below, we list their response and their distances to two new customers (Jack and Colleen).

Customer	Response	Distance to Jack	Distance to Colleen
Janet	Yes	1.7	1.3
Adam	Yes	1.6	1.3
Tom	No	3.8	0.9
Sarah	Yes	2.4	1.2
Nancy	No	3.7	0.9
Joseph	No	2.5	1.5

What will be the predicted responses of Jack and Colleen using k-NN when k is set to the following values? Justify your answer.

1. k = 1
2. k = 3
3. k = 5

Answer 1

ANSWER::

RESPONSES OF JACK:

When  K=1 : Compairing K observation with Lowest difference (lowest distances)

Adam with distance 1.6 with response YES

  MAJORITY RESPONSE =YES

response of jack should be YES

When  K=3 : Compairing K observation with Lowest difference (lowest distances)

Adam with distance 1.6 with response YES

Janet with distance 1.7 with response YES

Sarah with distance 2.4 with response YES

  MAJORITY RESPONSE =YES

response of jack should be YES

When  K=5 : Compairing K observation with Lowest difference (lowest distances)

Adam with distance 1.6 with response YES

Janet with distance 1.7 with response YES

Sarah with distance 2.4 with response YES

Joseph with distance 2.5 with response NO

Nancy with distance 3.7 with response NO

  MAJORITY RESPONSE =YES

response of jack should be YES

RESPONSES OF COLLEN:

When  K=1 : Compairing K observation with Lowest difference (lowest distances)

Tom with distance 0.9 with response NO

or

  Nancy with distance 0.9 with response NO

  MAJORITY RESPONSE =NO

response of collen should be YES

When  K=3 : Compairing K observation with Lowest difference (lowest distances)

Tom with distance 0.9 with response No

Nancy with distance 0.9  with response No

Sarah with distance 1.2 with response YES

  MAJORITY RESPONSE =NO

response of collen should be NO

When  K=5 : Compairing K observation with Lowest difference (lowest distances)

Tom with distance 0.9 with response No

Nancy with distance 0.9  with response No

Sarah with distance 1.2 with response YES

Janet with distance 1.3 with response YES

Adam with distance 1.3 with response YES

  MAJORITY RESPONSE =YES

response of collen should be YES

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