solve the problem using JMP software and answer the questions.

2. A manager at an ice cream store is trying to determine how many customers to expect on any given day. Overall business has been relatively steady over the past several years, but the a) Which variable is the response (y) ? customer count seems to have its ups and downs. He collects data over 30 days and records the number of customers, the high temperature that day, whether the day fell on a weekend/weekday and whether or not an employee stands outside the store's entrance and b) Define two dummy variables to recode the "Day of the week" and "Free Samples" columns. hands out free samples. c) Fit an MLR equation to the data (y=0+1x1+2x2+3x3). Write out the "full" model. d) Is the overall model significant? Justify with ANOVA hypotheses and p-value e) Are the individual variables significant? If not, remove the insignificant variables stepwise, until all remaining variables are significant. Also, check if there are any interactions between temperature and significant dummy variables. f) Write the "best" model you've come up with. g) Predict the number of customers the manager should expect on a Saturday with a forecasted high temperature of 80 degrees and an employee scheduled to hand out free samples. h) What is the slope term in the equation for "Temperature" when "Day of the Week" = Weekend? Interpret the meaning of this value in terms of the problem. What is the slope for "Temperature" when "Day of the Week" = Weekday? Interpret the meaning of this value in terms of the problem. i) Is it worth it, for the manager, to pay an employee to stand outside the entrance and give out free samples