An Ardent Fan of Television Game Shows Has Observed That

Essay

An ardent fan of television game shows has observed that, in general, the more educated the contestant, the less money he or she wins. To test her belief, she gathers data about the last eight winners of her favourite game show. She records their winnings in dollars and their years of education. The results are as follows. $\begin{array}{|c|c|c|r|r|}\hline \text { Contestant } & \begin{array}{c}\text { Years of } \\\text { education }\end{array} & \text { Winnings } & \begin{array}{c}\text { Predicted } \\\text { values }\end{array} & \text { Residuals } \\\hline 1 & 11 & 750 & 754.2 & -4.167 \\\hline 2 & 15 & 400 & 397.5 & 2.500 \\\hline 3 & 12 & 600 & 665.0 & -65.000 \\\hline 4 & 16 & 350 & 308.3 & 41.667 \\\hline 5 & 11 & 800 & 754.2 & 45.833 \\\hline 6 & 16 & 300 & 308.3 & -8.333 \\\hline 7 & 13 & 650 & 575.8 & 74.167 \\\hline 8 & 14 & 400 & 486.7 & -86.667 \\\hline\end{array}$ Plot the residuals against the predicted values. Does the variance appear to be constant?