is an exponential model suitable for this data set? prove using maths.

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. 042 + 0.037 + 0. 033 + 0. 029 + 0. 026 + 0. 024 = 0. 048+ 0. 055 =0.875 ~ 0. 88095 ~ 0.89189 ~ 0.87879 ~0.89655 ~0.923 ~0.9167 ~ 0.8727 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 1 = - 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