The mean numbers of lightning deaths per million people per year are shown in Table 63 for various decades, and the percentages of Americans who live in rural areas are shown in the table for various years.

Let y be the lightning fatality rate (mean number of lightning deaths per million people per year) at x years since 1900.
a. Find a regression equation.
b. Estimate the lightning fatality rate in 2000.
c. Use your result in part (b) to estimate the number of lightning deaths in 2000. The U.S. population was 281 million in that year.
d. The ratio of injuries to deaths, both from lightning, is about 10 to 1. Use your result in part (c) to estimate the number of injuries from lightning in 2000.
e. Let A be the percentage of Americans who live in rural areas at x years since 1900. Find a regression equation.
f. It has been hypothesized that the lightning fatality rate has decreased due to the migration of Americans from rural areas to urban ones. Explain why this is probably not the only reason by comparing the meaning of the bases of the models you found in parts (a) and (e).

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Table 63 Mean Numbers of Lightning Deaths per Million People per Year; Percentages of Americans Who Live in Rural Areas Year Used to Lightning Represent Fatality Percentage of Americans Who Decade Decade Rate Year Live in Rural Areas 1940-1949 1950-1959 1960-1969 1970-1979 1980-1989 1990-1999 2000-2010 1945 1955 1965 1975 1985 1995 2005 24 1950 11 1960 0.7 1970 0.5 04 36.0 30.1 26.3 26.3 24.8 22.0 21.0 1980 1990 0.2 2000 0.1 2010