The following data indicate the numbers of accidents bus drivers had in one year as a function of the numbers of years on the job.
years on job(xi)= 2,4,6,8,10,12
accidents(yi)= 10,8,3,8,45

(a) fit these data with a regression model of the form ŷ= qx +r determine q and r by computing the pseudoinverse of x, the matrix whose first column is the vector of xi's and whose second column is a 1's vector.
(b) what is the condition number of the matrix (xtx)? is the problem poorly conditioned?
(c) repeat the calculations in part (a) by first shifting the x-values to make the average x-value be 0