The following data give, for certain years between 1982 and
2002, the
percentages of British women who were cigarette smokers.
Year 1982 1984 1988 1990 1994 1996 1998 2000 2002 Percentage
33.1 31.8 30.4 24.3 26.3 27.7 26.3 25.3 24.8
Treat these data as coming from a linear regression model,
with the input being the year and the response being the
percentage. Take 1982 as the base year, so 1982 has input value x =
0, 1986 has input value x = 4, and so on.
(a) Estimate the value of σ2.
(b) PredictthepercentageofBritishwomenwhosmokedin1997.