A balance is calibrated in an environment at a temperature of 25C for the input range of 0-1000 grams, as tabulated below: Input: Weight 595 735 805 (gram) Output: Angular deflection () 115 25 185 55 325 82 405 105 485 140 160 189 905 220 239 995 260 (a) Plot the input/output characteristics and use linear regression to calculate the sensitivity and the zero drift of the (12 marks) (3 marks) balance. (b) Suggest a method to reduce the zero drift. (c) After eliminating the zero drift, the balance is now used for measurement under an ambient temperature of 40C. Suppose the sensitivity drift coefficient is +1.2%/gram/C, what will be the output () for an input of 500grams? (7 marks)