Suppose that eight specimens of a certain type of alloy were produced at different temperatures, and the durability of each specimen was then observed. The observed values are given in Table 11.3, where xi denotes the temperature (in coded units) at which specimen i was produced and yi denotes the durability (in coded units) of that specimen.
Table 11.3 Data for Exercise 7

a. Fit a straight line of the form y = β0 + β1x to these values by the method of least squares.
b. Fit a parabola of the form y = β0 + β1x + β2x2 to these values by the method of least squares.

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