P(PlayTennis=yes, Outlook=rain, Temperature=mild, Humidity=high, Wind-strong) = P(PlayTennis=no, Outlook=rain, Temperature=mild, Humidity=high, Wind-strong) = P(PlayTennis=yes|Outlook=rain, Temperature=mild, Humidity=high, Wind-strong) = P(PlayTennis-no|Outlook=rain, Temperature=mild, Humidity=high, Wind-strong) = { Will the player play tennis on the given day? ✓ [Choose ] 4/9 = 0.444 0.010 3/5 = 0.60 4/5 = 0.80 0.027 0.73 3/9 = 0.33 NO, will most likely not play 2/5 = 0.4 5/14 = 0.36 0.27 YES, will most likely play today
Using the naive Bayes classifier approach, decide if a person will/will not play tennis on a day that is:
- Outlook=rain
- Temperature=mild
- Humidity=high
- Wind=strong
Use the "PlayTennis" dataset that was used in class (probabilities.pptx).
Calculate the prior probabilities
P(PlayTennis=yes) = 9/14 = 0.64
P(PlayTennis=no) =
Calculate the conditional probabilities
P(Outlook=rain|PlayTennis=yes) =
P(Outlook=rain|PlayTennis=no) =
P(Temperature=mild|PlayTennis=yes) =
P(Temperature=mild|PlayTennis=no) =
P(Humidity=high|PlayTennis=yes) =
P(Humidity=high|PlayTennis=no) =
P(Wind=strong|PlayTennis=yes) =
P(Wind=strong|PlayTennis=no) =
Calculate the joint probabilities (before normalization)
P(PlayTennis=yes, Outlook=rain, Temperature=mild, Humidity=high, Wind=strong) =
P(PlayTennis=no, Outlook=rain, Temperature=mild, Humidity=high, Wind=strong) =
Calculate the conditional probabilities (after normalization)
P(PlayTennis=yes|Outlook=rain, Temperature=mild, Humidity=high, Wind=strong) =
P(PlayTennis=no|Outlook=rain, Temperature=mild, Humidity=high, Wind=strong) =
Based on the above joint probabilities, is the player likely to play tennis on the given day?
![P(PlayTennis=yes, Outlook=rain, Temperature=mild, Humidity=high,
Wind-strong) =
P(PlayTennis=no, Outlook=rain, Temperature=mild, Humidity=high,
Wind-strong) =
P(PlayTennis=yes|Outlook=rain, Temperature=mild, Humidity=high,
Wind-strong) =
P(PlayTennis-no|Outlook=rain, Temperature=mild, Humidity=high,
Wind-strong) = {
Will the player play tennis on the given day?
✓ [Choose ]
4/9 = 0.444
0.010
3/5 = 0.60
4/5 = 0.80
0.027
0.73
3/9 = 0.33
NO, will most likely not play
2/5 = 0.4
5/14 = 0.36
0.27
YES, will most likely play today](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1942d21f-1f68-402e-935c-586383b38458%2F8d305acf-d18d-4351-97af-7d8b56c3a65c%2Fp86nd1_processed.png&w=3840&q=75)
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