a the voltage v across a capacitor at time t

Question

a) The voltage v across a capacitor at time t seconds is given by the following table

  t: 0 2 4 6 8

  v: 150 63 28 12 5.6

Use the method of least square to fit a curve of the form v=ae^kt to this data.

b) Fit a straight line y= a+bx to the following data by the method of moments

   x: 1 2 3 4

   y: 0.17 0.18 0.23 0.32