Instruction
a) The table gives the tension T newtons in a stretched spring when its length is L meters.
L 0.8 0.9 1.0 1.2
T 8 16 24 32
T and L are related by the equation T = a L + b, where a and b are constants.
Use the method of least squares with L and T replacing x and y respectively to find the best fit values of a and b.
(8 marks)
b) Estimate T when L = 0.96 and L when T = 27