The accompanying data file contains $100$ observations for a binary response variable y along with the predictor variables x$1$ and x$2.$ Use the k$-$fold crossvalidation method with k $=4$ to compare the accuracy rates of two logistic models for y$.$ For predictor variable$($s$),$ Model $1$ uses x$1$ and Model $2$ uses x$1$ and x$2.$

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a$-1.$ Derive the accuracy rates $($in $\%)$ to complete the following table.

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

a$-2.$ Which is the preferred model for making predictions?

multiple choice

Model $1$ because of its lower average accuracy.

Model $1$ because of its higher average accuracy.

Model $2$ because of its lower average accuracy.

Model $2$ because of its higher average accuracy.