Given the data below, calculate by hand the coefficients a and b of the line-ofbest-fit using linear least squares regression. Determine the standard error (as defined by Wolfram) for both the coefficients. What transformations can you make to the data to improve the fit? Use a software tool to conduct the same fit and compare your results.
Time (min) Population Density
0.028
16 0.047
32 0.082
48 0.141