If you could stop time and live forever in good health at a particular age, what age would you choose? The mean ideal ages chosen by various age groups are shown in Table 46.

Let y be the mean ideal age (in years) chosen by people whose actual age is x years.
a. Construct a scatterplot.
b. Find the linear regression equation. Graph it on the scatterplot.
c. Construct a residual plot.
d. Find the age and the residual represented by the lowest dot in the residual plot. What does this tell you about the corresponding data point in the scatterplot and the regression line?
e. Find the age and the residual represented by the highest dot in the residual plot. What does this tell you about the corresponding data point in the scatterplot and the regression line?

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Table 46 Mean Ideal Ages Age Used to Age GroupRepresent Age Group Mean Ideal Age years) (years) lyears) 30-39 40-49 50-64 over 64 34.5 44.5 40 75 59