With reference to Exercise 11.16, fit a straight line to the data by the method of least squares, using \(M_{\text {ext }}\) as the independent variable, and draw its graph on the diagram obtained in part (a) of Exercise 11.16. Note that the two estimated regression lines do not coincide.

Data From Exercise 11.16

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11.16 Recycling concrete aggregate is an important compo- nent of green engineering. The strength of any po- tential material, expressed in terms of its resilient modulus, must meet standards before it is incorpo- rated in the base of new roadways. There are two methods of obtaining the resilient modulus. The ex- terior measurement Mext (MPa) and interior mea- surement Mint (MPa) can be measured on each sam- ple. The results for n = 9 samples are (Courtesy of Tuncer Edil) Mext| 204.7 184.8 181.1 166.5 165.2 154.1 135.8 173.4 142.7 M; int 707.1 632.2 603.6 522.4 554.4 483.5 449.7 545.1 473.8 (a) Draw a scatter plot to verify the assumption that the relationship is linear, letting Mint be x and Mext be y. (b) Fit a straight line to these data by the method of least squares, and draw its graph on the diagram obtained in part (a).