Consider the following 10 data pairs (xi , yi ), i = 1, . . . , 10, relating y, the percent yield of a laboratory experiment, to x, the temperature at which the experiment was run.

A plot of yi versus xi — called a scatter diagram — is given in Figure 9.1. As this scatter diagram appears to reflect, subject to random error, a linear relation between y and x, it seems that a simple linear regression model would be appropriate

i xj Yi 1 100 2 110 92 45 52 3 120 54 4 130 63 16989 i xi yi 150 68 7 160 75 8 170 76 180 92 5 140 62 10 190 88