Problem 2 Given the experimental data y = 13.26 14.15 13.86 14.81 15.68 15.64 15.58 15.67 16.08 16.36 16.14 .. 16.68 16.00 15.66 16.05 16.22 16.17 16.03 16.69 15.83 16.21 16.13.. 16.36 16.42 16.92 16.65 16.94 17.47 18.07 17.52]; x= 1.00 1.13 1.27 1.41 1.55 1.68 1.82 1.96 2.10 2.24 2.37 2.51 2.65 .. 2.79 2.93 3.06 3.20 3.34 3.48 3.62 3.75 3.89 4.03 .. 4.17 4.31 4.44 4.58 4.72 4.86 5.00]; 1. Find the least-squares line that fit this data. 2. By inspecting the residuals, can you determine if the previous model is suitable? 3. Can you find a better model than 1.? Use residual plot to measure "betterness".

Fig: 1