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5. Determine if each set of data is best represented by a linear, quadratic, exponential, or sinusoidal regression equation. Where possible, state the coefficient of determination r, for each equation. (6 marks) Table 1: X -3 -2 -1 0 2 3 0 -4.5 -4.5 0 4.5 4.5 Linear equation coefficient of determination: Quadratic equation coefficient of determination: Exponential equation coefficient of determination: Sinusoidal equation (yeso): Best type of equation: Table 2: X -2 -1 0 1 2 3 -6 -2 0 2 4 6 Linear equation coefficient of determination: Quadratic equation coefficient of determination: Exponential equation coefficient of determination: Sinusoidal equation (yeso): Best type of equation: Table 3: X -3 0 1 2 3 9 0 4 9 Linear equation coefficient of determination: Quadratic equation coefficient of determination: Exponential equation coefficient of determination: Sinusoidal equation (yeso): Best type of equation: Table 4: x -3 -2 -1 0 3 0.125 | 0.25 0.5 8Table 4: X -3 -2 -1 0 1 2 3 0.125 0.25 0.5 1 2 4 8 Linear equation coefficient of determination: Quadratic equation coefficient of determination: Exponential equation coefficient of determination: Sinusoidal equation (yeso): Best type of equation: Page 5 of 7 VVS: 30-2 A8 21/22 Sem 6. The Niagara Sky Wheel is a Ferris wheel in 70 4 Niagara Falls, Ontario. Instead of seats, visitors 60 ride in capsules which they enter and exit at the lowest point of the ride. The graph to the right 40 models the height of a particular capsule over height (m) the course of a ride. 30 - 20 10 24 time (min) a. State the value of each characteristic of the graph above and explain what it represents in the context of the question. i) amplitude (2 marks)4. For each graph, state the amplitude, period, equation of the midline and the sine equation. The starting point of each sine curve is marked with a square. Graphs was drawn on a TI calculator in degree mode with window settings of: WINDOW (10 marks) Xmin= -90 Xmax=360 Xsc1=30 Ymin= -2 Ymax=4 Yscl=1 YAA Amplitude: Period: Midline: Equation: Amplitude: Period: Midline: Equation: Amplitude: Period: Midline Equation: Amplitude: AANY Period:2. Complete the table by determining the following characteristics of each function. (8 marks) Equation Amplitude Period Horizontal Equation Translation of Midline y = sin(x -3) +1 y = 6sin 0.25(x+450) -9 y = 2sin 8(x+3) +5 y = 0.75 sin 4(x -60) 3. The graphs of two sine functions, y = asin (bx + c) + d , are shown below. Compare the values of the parameters a, b, c, and d for both graphs. Which would be the same and which would be different? Explain your answers. (4 marks) Graph I Graph 2 1204 21051. Insert numbers in the magic square below so that each horizontal, vertical, and diagonal line adds to 170. You may not repeat any numbers. (2 marks - 0.25 marks each) 70 20 35 30 45 40 55 50Amplitude: Period: Midline: Equation: Amplitude: Period: Midline: Equation: Amplitude: AAN Period: Midline: Equation