Consider the Data Given in the Table Below A Plot the Data on a Scattergram

Consider the data given in the table below. $\begin{array}{cc}\hline \mathrm{X} & \mathrm{Y} \\\hline 1 & 4 \\2 & 6 \\2 & 5 \\3 & 7 \\4 & 7 \\4 & 6 \\5 & 4 \\5 & 5 \\6 & 3 \\\hline\end{array}$

a. Plot the data on a scattergram. Does a quadratic model seem to be a good fit for the data? Explain.
b. Use the method of least squares to find a quadratic prediction equation.
c. Graph the prediction equation on your scattergram.