The total attendances at Major League Baseball (MLB) games are shown in Table 62 for various years.

Let y be the total attendance (in millions) at MLB games in the year that is x years since 1900.
a. Construct a scatterplot.
b. Find the linear regression equation and the exponential regression equation. Which model describes the association better?
c. Use the exponential model to estimate the total attendance in 1940. Find the residual. On the basis of the fact that World War II was happening in 1940, explain why it is not surprising that the residual is negative.
d. Use the exponential model to estimate the total attendance in 2010. Find the residual. On the basis of the fact that the economy was suffering in 2010, explain why it is not surprising that the residual is negative.
e. Use the exponential model to estimate the total attendance in 2014. Find the residual. The economy was stronger in 2014 than in 2010. Does this suggest that MLB attendance is strongly affected by the economy?
f. On the basis of the data alone, can we be sure that World War II and/or changes in the economy caused changes in total attendance? Explain.

Table 62 Total Attendances at MLB Games Year 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010 2014 Attendance (millions) 83 5.93 9.12 10.13 9.82 1715 19.93 28.75 43.01 54.82 72.70 73.17 73.74