Exercise $9-23$ Algo

Consider the accompanying data file to estimate the logistic model for predicting loyalty $($Loyal equals $1$ if the member stoyed at the gym for at least one year, $0$ othenvise$).$ Predictor variables include the member's age and Income $($in $$1,000)$ and whether helshe joined on a single plan $($Single $-1$ if on a single plan, $0$ otherwise$).$

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a$.$ Use the estimated model to predlct the odde for a $50$ year$-$old member with income of $$80,000$ and on a single plan. Note: Do not round intemedlate calculations and round final answer to $2$ decimal places.

$\backslash$table$[[$Singloplan$,4920]]$

b$.$ Predict the corresponding odds for a member on a family plan.

Note: Do not round intermediate calculations and round final answer to $2$ decimal places.

Fantly Pan

c$.$ Interpret the percentsge change in the loysity odds when esch predictorvaribble increases by one unit, holding the other variables constant.

Note: Do not round Intermedlate calculations ond round finol enswers to $2$ decimal ploces.

$\backslash$table$[[$For Aga, the odds,by$,$Ent,pront$],[$For incoms, the odis,by:$,,$permint$],[$For Singe, the odds,by$,,$pirente$]]$