Construct a Residual Plot for the Given Data $\begin{array}{lllllllll} \hline x & 1 & 1 & 2 & 3 & 3 & 3 & 4 & 5 \\ \hline \mathrm{y} & 30 & 40 & 40 & 40 & 50 & 65 & 50 & 50 \\ \hline \end{array}$

Essay

Construct a residual plot for the given data.
-A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft)and the quality of the resulting lawn. Eight similar plots of land are selected and each is planted with a particular density of seed. One month later the quality of each lawn is rated on a scale of 0 to 100. The sample data are given below, where x denotes seed density, and y denotes lawn quality. $\begin{array}{lllllllll} \hline x & 1 & 1 & 2 & 3 & 3 & 3 & 4 & 5 \\ \hline \mathrm{y} & 30 & 40 & 40 & 40 & 50 & 65 & 50 & 50 \\ \hline \end{array}$ $\hat { y } = 33.14 + 4.54 x$