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7a. 5 marks Celiac disease is a digestive disease that damages the small intestine and affects the absorption of food. People who have this disease cannot tolerate gluten, which is a protein found in many grain products such as wheat, barley, and rye. In recent years, the incidence of diagnosed cases of this disease has risen dramatically. The following data has been collected on the incidence of celiac disease since 1950. Years Since 1950 16 24 32 40 48 52 56 60 Diagnosed Cases of 10 11 14 13 1 12 18 Celiac 31 40 x1000 Create a scatter plot of this data. (Feel free to use your own graph paper). ii. What regression model would best fit this model? iii. Find an appropriate equation for the curve of best fit. iv. Using your model, how many cases of celiac disease may be diagnosed in 2020? v. Using your model, in what year(s) were there 10 500 diagnosed cases? b. 5 marks The average retail price of a pair of designer jeans in Canada, from 1980 to 2011, can bemodelled by the polynomial function P(x) = 0.0045x3 - 0.'l88x2 + 4.331x + 18.65. i. Describe the characteristics of the graph of the polynomial function. Include the following: . degree and type of graph . end behaviour - possible number of turning points ii. Explain what the constant term means in the context of the problem. iii. What is the predicted value ofjeans in 2012 using this function? Show work. iv. State an appropriate domain and range