Use credit$\_$card.xlsx to answer questions $1$ and $2.$ The data file contains information on $5,000$ observations on the following $4$ variables.

$\backslash$table$[[$default$,$A binary variable indicating whether the customer defaulted on their debt$],[$student$,$A binary variable indicating whether the customer is a student$],[$balance$,\backslash$table$[[$The average balance that the customer has remaining on their credit card after$],[$making their monthly payment$]]],[$income$,$Income of customer$]]$

$)($D$|$raw a scatter plot of predicted probabilities and balance. $($Put balance on the horizontal axis.$)$