predict the probability that customers will use the coupons provided to them by a store

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Read the simmons.csv file in R which contains data about the Simmons stores. The simmons.csv dataset contains the following information: UsesCoupon: Whether a customer uses a coupon provided by the stores.HasCard: Whether the customer has a store card or not. Spends: The total amount spent by the customer in the last year in the unit of $1000. • Customer: The id of the customer. The aim of the following exercise is to predict the probability that customers will use the coupons provided to them by a store (predicting the coupon variable below based on the spending level and whether the customer has a store card or not.) Hints: In class, we provided solutions in R to a similar problem but for a different dataset. (1) We will fit a logistic regression model with the UsesCoupon as the response and other variables Spends and HasCard as potential predictors using gradient descent. For this purpose, we will take the following steps: (a) Let N be the number of data points we have. We first form the data matrix A whose first column is the vector of ones; second column is the Spends and third column is the HasCard vector. The matrix A should have size N 3. Let y be the UsesCoupon variable, which is a vector of zero and ones

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