answer questions and use supporting mathematical evidence.

DA 150% Normal text Times New.. - - 11 + B J U A GO O. = = = = 1 S E . F. BE X 2 5 6 9 1 11 1 12 1 1 13 1 1 + 14 1 1 15 76 1 17 18 Number of 0 10 20 30 40 50 60 70 80 completed swings (n) Scaled amplitude 55 48 42 37 33 29 26 24 22 of swing (mm) Amplitude of 0.055 0.048 0.042 0.037 0.033 0.029 0.026 0.024 0.022 swing (xm) Ratio ( n/a =X1+ * 10-10 =0.042 = 0.037 = 0.033 = 0.029 = 0.026 = 0.024 = 0.022 x + *-10) = 0. 048+ 0. 055 + 0. 048 + 0. 042 + 0. 037 + 0. 033 + 0. 029 + 0. 026 + 0. 024 ~0.8727 =0.875 0. 88095 ~0.89189 ~0.87879 ~0.89655 ~0.923 = 0.9167 In x In 0.055 In 0.048 In 0.042 In 0.037 In 0.033 In 0.029 In 0.026 In 0.024 In 0.022 = - 2.900 = - 3.037 = - 3.170 =- 3.297 = - 3.411 = - 3.540 = - 3. 6497 - - 3. 7297 = - 3. 8167 2. Does an exponential function appear to be a suitable model for this data set? Why/Why not? 3. Using Excel (or similar) plot n against In x. Include the linear 'trend line' (line of best fit) and identify the equation of the trendline in gradient intercept form. (3 marks) 4. What do the gradient and y-intercept of the trend-line found in question 3 represent? (2 marks) MacBook Air