Please give a detailed answer to the following example questions

Curve Fitting and Miscellany 1. The table below shows experimental measurements of volt- age v measured across the length of a neuron when a cur- rent i is applied. V i 11 22 35 49 (a) Show that the solution of the matrix equation below yields a least squares fit of the data to the line v = mi + c. m 7][] = E's 111 17 56 17 10 [10 marks] (b) Calculate the line fit and use your estimates of m,c to calculate the standard error of the fit. [5 marks] (c) In the measurement of data, outliers can occur. De scribe the effect of outliers on the estimation of m,c in this case. Propose one alternative cost function which could reduce this effect and explain why it is suitable. Use at most one page. [10 marks]