On the Naïve Bayes classifier

Table 1 below is a weather data set with 5 attributes (Outlook, Temp, Humidity, Windy, and Play) and 15 records. The last attribute Play is the class attribute and our goal is to find out a way to classify any given new record where the values of the first 4 attributes are known into one of the two classes Play=Yes or Play=Yes. In other words, we want to learn a way to predict whether Play=Yes or Play=Yes based on the values of the first 4 attributes of the record.

Outlook sunny sunny overcast rainy rainy rainy overcast sunny sunny rainy sunny overcast overcast rainy

Temp hot hot hot mild cool cool cool mild cool mild mild mild hot mild

Humidity high high high high normal normal normal high normal normal normal high normal high

Windy FALSE TRUE FALSE FALSE FALSE TRUE TRUE FALSE FALSE FALSE TRUE TRUE FALSE TRUE

Play (Class) no no yes yes yes no yes no yes yes yes yes yes no

Introduction to the Naïve Bayes classier:

Carefully read the overview of Naïve Bayes classifier here, which use the data set in Table I as an example. It is based on Sections 4.2 of Data Mining: Practical Machine Learning Tools and Techniques and describes the use of the naïve Bayes approach to collect statistics based on existing data to classify new instances. It shows how you can collect the statistics needed in the naïve Bayes method step by step using the weather data set in Table 1 above and show we can apply them to classify a new case like the following one.

Outlook	Temp	Humidity	Windy	Play (Class)
Sunny	Cool	High	True	???

Things to do for this homework:

Table 2 is another weather data set for this homework.

Outlook Sunny Sunny Overcast Rainy Rainy Rainy Overcast Sunny Sunny Rainy Sunny Overcast Overcast Rainy

Temp Humidity Windy hot high FALSE hot high TRUE hot high FALSE mild high FALSE cool normal FALSE cool normal TRUE cool normal TRUE mild high FALSE cool normal FALSE mild normal FALSE mild normal TRUE mild high TRUE hot normal FALSE mild high TRUE

Play (Class) no yes no no yes no no no yes yes no yes yes yes

Show step by step, how you can determine the statistics needed for using the naïve Bayes method for classification based on the revised weather data set in Table 2, and show how you will classify the new case below in the bottom.

Outlook	Temp	Humidity	Windy	Play (Class)
Sunny	Cool	High	True	???