David F. Hendry 51
1940 1960 1980
–0.10
–0.05
0.00
0.05
0.10 a Δ~ef
Δef
1940 1960 1980
0.0
2.5
5.0 b ût
~ut
1940 1960 1980
–0.10
–0.05
0.00
0.05
0.10 Δ^ef^
Δef
1950 1960 1970 1980 1990
–0.050
–0.025
0.000
0.025
0.050
0.075
c d Δ~ef Δef
Figure 1.7 Fitted and actual values, residuals and forecasts foref,t
1920 1940 1960 1980 2000
–12.75
–12.50
–12.25
–12.00 ef, 1^
ef, 0
1920 1940 1960 1980 2000
–11.5
–11.0
–10.5
–10.0 e 0
e 1
1920 1940 1960 1980 2000
0.0
0.1
0.2
0.3
s 0
s 1
1920 1940 1960 1980 2000
1.0
1.2
1.4
a 1
a 0
Figure 1.8 Revised data on food expenditure time series