OPTIONS LS=72; TITLE 'EXAMPLE 6. SERIALLY CORRELATED ERRORS: EXPENDITURE DATA'; DATA EXPEND; INPUT T Y X; CARDS; 1 214.6 159.3 2 217.7 161.2 3 219.6 162.8 4 227.2 164.6 5 230.9 165.9 6 233.3 167.9 7 234.1 168.3 8 232.3 169.7 9 233.7 170.5 10 236.5 171.6 11 238.7 173.9 12 243.2 176.1 13 249.4 178.0 14 254.3 179.1 15 260.9 180.2 16 263.3 181.1 17 265.6 181.6 18 268.2 182.5 19 270.4 183.3 20 275.6 184.3 ; /* DURBIN-WATSON STATISTIC IN REGRESSION */ PROC REG DATA=EXPEND; MODEL Y=X/R DW; OUTPUT OUT=OUT1 PREDICTED=YPRED RESIDUAL=YRES; PLOT Y*X; PLOT RESIDUAL.*PREDICTED.; PLOT RESIDUAL.*X; RUN; /* REGRESSION WITH AR(1) ERROR */ PROC AUTOREG DATA=EXPEND; MODEL Y=X/NLAG=1; OUTPUT OUT=OUT2 P=YPRED R=YRES; RUN; /* ACF OF RESIDUALS */ PROC ARIMA DATA=OUT2; IDENTIFY VAR=YRES; RUN;