Math 30 2 Module Four Assignment Page | 30 3. For each of the following graphs, you are provided with the scatter plot and the line or curve of best fit. (8 marks) a. The equation of the line of best fit is y = 1.15x + 4.42. i. Devise a scenario that could be modelled using the data. Don't use a scenario that has already been provided in the textbook or in 24 the lesson. (2 marks) 22 20 18 16 14 12 ii. Provide the appropriate domain and range 10 for your scenario. (2 marks) Domain: Range: i. Make up a question that would involve N interpolation and the use of the model (regression equation) to solve. Provide the 0 2 4 6 8 10 12 14 16 solution. (2 marks) Question: Solution Involving interpolation: iii. Make up a question that would involve extrapolation and the use of the model (regression equation) to solve. Provide the solution. (2 marks) Question: Solution Involving extrapolation:pair 30 . Module Four Assignment Page | 31 b. The equation of the quadratic curve of best fit is y = -0.32x2 + 4.88x + 2.79. (8 marks) i. Devise a scenario that could be modelled using the data. Don't use a scenario that has already been provided in the textbook or in the lesson. (2 25 marks) 10 12 14 16 ii. Provide the appropriate domain and range for your scenario. (2 marks) Domain: Range: ii. Make up a question that would involve interpolation and the use of the model regression equation) to solve. Provide the solution. (2 marks) Question: Solution Involving interpolation: ili. Make up a question that would involve extrapolation and the use of the model (regression equation) to solve. Provide the solution. (2 marks) Question: Solution Involving extrapolation:Page | 32 Math 30 . 2 Module Four Assignment C. The equation of the cubic curve of best fit is y = 0.037x3 - 0.79x2 + 4.74x + 4.27. (8 marks) i. Devise a scenario that could 20 be modelled using the data. Don't use a scenario that has 18 already been provided in the textbook or in the lesson. (2 16 marks) 14 12 10 8 6 2 4 6 8 10 12 14 16 ii. Provide the appropriate domain and range for your scenario. (2 marks) Domain: Range: ii. Make up a question that would involve interpolation and the use of the model (regression equation) to solve. Provide the solution. (2 marks) Question: Solution Involving interpolation: iii. Make up a question that would involve extrapolation and the use of the model (regression equation) to solve. Provide the solution. (2 marks) Question: Solution Involving extrapolation