Use least-squares regression to fit a straight line to the experimental data in columns A and B of the following table: *iVi i-y 29 21 29 14 21 15 3 15 17 21 23 29 29 37 39 4 8 13 0 10 1) Fill out columns C and D, as well as the last line of columns A,B,C and D to compute the mean value of x (x), the mean value of y (y), the slope (a) and the intercept (ao). Do the calculations by hand (preferrably) or use MATLAB (but not POLYFIT); please do not use Excel! 2) Estimate the quality of your fit by computing the standard error of the estimate (Sy/x) and the correlation coefficient (R). Fill out columns E and F to help you compute these quantities. Include the filled-out table with the hard copy ot your homework. 3) Use Matlab to plot the data and the regression line that you computed in question 1.If someone made an additional measurement of x -10,y-10, would you suspect, based on visual assessement and the standard error, that the measurement was valid or faulty? Justify your conclusion