Asupermarket chain analyzed data on sales of a particular brand of snack cracker at 104 stores for a certain one week period. the analyst decided to build a regresion model to predict the sales of the snack cracker based on the total sales of all brands in the snack cracker category. a. develop a linear regression model that predict the cracker sales. show the prediction equation. b. is there sufficient evidence at 2.5% significance level to claim that linear relationship exists between category sales and cracker sales? show the test, and make the conclusion. c. the difference in category sales between two stores is 150. what is the predicted differnece of the cracker sales between these stores? d. make a prediction for sales in a week where sales in the entire snack cracker category is 1005. f. produce a 90% confidence prediction interval for the sales of the cracker in a store where the category sales is 1005. also produce the90 % confidence prediction interval in a store where category sales is 900.