Table 3 gives the total number of live Christmas trees sold (in millions) in the United States for select years from 2004 to 2011.
Year 2004 2006 2008 2010 2011
x 24.10 28.60 28.20 27 30.80
Table 3: Number of live Christmas trees sold (in millions), x, for select years.
(a) Use a spreadsheet to create the linear model for x ~ Years. Report the regression equation.
(b) Interpret the slope and vertical intercept in this context.
(c) Use you regression equation to predict the number of Christmas trees sold in 2013.
(d) Use your regression equation to predict the year in which 31.5 million Christmas trees would be sold in the US.
(e) Determine the residual for 2010. Is this an overestimate or underestimate?
(f) Would it be reasonable to use this model for the year 2030? Explain why or why not.