A grocery store chain wants to determine if a customer would buy Minute Maid MM or another brand. The variable Purchase is 1 if the purchase was Minute Maid and 0 if the purchase was Citrus Hill. They want to determine this based on price charged for Citrus Hill PriceCH, price charged for Minute Maid PriceMM, and if the sale is at Store 7 Store7 (Yes/No). a) Using all the variables indicated above, what is the model, write it out, watch out for categorical variables. b) Write out the R code for how you would get the estimates of this model. c) The following is the output for the model: # # Coefficients: Estimate Std. Error z value Pr(> |z1) (Intercept) 1. 5220 2. 3142 0. 658 0. 5108 PriceCH 2. 2321 1. 4682 1.520 0. 1285 PriceMM -2.7813 1. 1042 -2.519 0. 0118 Store7Yes -1. 2020 0. 2804 -4.286 1. 82e-05 Signif. codes: 0 's*+' 0.001 '*#' 0.01 '-' 0.05 .' 0.1 1 (Dispersion parameter for binomial family taken to be 1) Null deviance: 429.17 on 320 degrees of freedom Residual deviance: 398.62 on 317 degrees of freedom ## AIC: 406.62