The mean numbers of viewers of American Idol are shown in Table 70 for various years.

Let y be the mean number (in millions) of viewers in the year that is x years since 2000.
a. Construct a scatterplot.
b. Find the linear regression equation. Graph it on the scatterplot.
c. Construct a residual plot.
d. Find the year 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 year 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 20 Mean Numbers of Viewers of American Idol Mean Number of Viewers (million) 30.7 28.3 22.5 19.1 11.7 10.9 Year 2006 2008 2010 2012 2014 2015