(Solved): Consider the following table which provides examples of weather conditions used to determine wheth ...

Consider the following table which provides examples of weather conditions used to determine whether a old age pensioner is likely to play golf on a given day. (4.1) Determine the root node of the decision tree for this table. Show all your calculations during the determination of the root node (all the entropy, remainder and information gain calculations). Use the table on page 4 for your entropy values and calculations. Entropy Table (Boolean valued variables) $p$ : Ratio of positive examples. $E$ : Corresponding entropy $\left(?\left({\log }_{2}p+(1?p){\log }_2(1?p)\right)\right)$. 1.00 | U.U0 Example: For a set of 4 positive examples, and 1 negative example (written $E[4,1]$ ), the ratio $p=\frac{4}{5}$, or 0.80 . The corresponding entropy value is given by the table as 0.72 . Always round the ratio to the nearest value on the table, for example: For $E[2,1]$, the ratio is $p=\frac{2}{3}?0.67?0.65$, which makes the $E[2,1]=0.93$. (4.3) Explain the significance of any of the listed attributes becoming the root node of the decision tree.