[SAS Program] data recip; input x y; trdep=y/x; trind=1/x; cards; 0294 030 0247 032 0267 037 0358 044 0423 047 0311 049 0450 056 0534 062 0438 068 0697 078 0688 080 0630 084 0709 088 0627 097 0615 100 0999 109 1022 114 1015 117 0700 106 0850 128 0980 130 1025 160 1021 97 1200 180 1250 112 1500 210 1650 135 ; PROC REG SIMPLE CORR; MODEL Y=X /ADJRSQ STB; PLOT X*Y RESIDUAL.*X /HPLOTS=2 VPLOTS=2; PROC REG SIMPLE CORR; MODEL TRDEP=TRIND /ADJRSQ STB; PLOT TRIND*TRDEP RESIDUAL.*TRIND /HPLOTS=2 VPLOTS=2; [SAS Output] The SAS System 12:19 Tuesday, December 28, 1999 1 Descriptive Statistics Variables Sum Mean Uncorrected SS INTERCEP 27 1 27 X 20500 759.25925926 19245812 Y 2550 94.444444444 293500 Variables Variance Std Deviation INTERCEP 0 0 X 141576.81481 376.26694622 Y 2025.6410256 45.007121944 Correlation CORR X Y X 1.0000 0.8808 Y 0.8808 1.0000 The SAS System 12:19 Tuesday, December 28, 1999 2 Model: MODEL1 Dependent Variable: Y Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 1 40862.60266 40862.60266 86.544 0.0001 Error 25 11804.06401 472.16256 C Total 26 52666.66667 Root MSE 21.72930 R-square 0.7759 Dep Mean 94.44444 Adj R-sq 0.7669 C.V. 23.00750 Parameter Estimates Parameter Standard T for H0: Variable DF Estimate Error Parameter=0 Prob > |T| INTERCEP 1 14.448059 9.56201165 1.511 0.1433 X 1 0.105361 0.01132565 9.303 0.0001 Standardized Variable DF Estimate INTERCEP 1 0.00000000 X 1 0.88083608 The SAS System 12:19 Tuesday, December 28, 1999 3 ---+----+----+----+----+----+--- -+----+----+----+----+----+----+- | | | | 2000 + + 50 + + | | | | | | | 1 1 1 | | 1 | | | | | 25 + 1 + 1500 + 1 + | 111 | X | | R | 1 | | 1 | E | 1 1 | | 1 | S 0 + 1 1 + | | I |2 1 1 1 1 2 | 1000 + 1211 1 + D | 1 1 1 1 | | 1 | U | | | | A -25 + 1 + | 21 1 | L | 1 | | 1 2 | | | 500 + 2 + | | | 11 1 | -50 + + | 111 | | 1 | | 1 | | | | | | | 0 + + -75 + + | | | | ---+----+----+----+----+----+--- -+----+----+----+----+----+----+- 0 50 100 150 200 250 250 500 750 1000 1250 1500 1750 Y X The SAS System 12:19 Tuesday, December 28, 1999 4 Descriptive Statistics Variables Sum Mean Uncorrected SS INTERCEP 27 1 27 TRIND 0.0465041534 0.0017223761 0.0001046967 TRDEP 3.4436072844 0.1275410105 0.4523992974 Variables Variance Std Deviation INTERCEP 0 0 TRIND 9.4611956E-7 0.0009726868 TRDEP 0.0005076209 0.0225304447 Correlation CORR TRIND TRDEP TRIND 1.0000 0.1642 TRDEP 0.1642 1.0000 The SAS System 12:19 Tuesday, December 28, 1999 5 Model: MODEL1 Dependent Variable: TRDEP Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 1 0.00036 0.00036 0.693 0.4131 Error 25 0.01284 0.00051 C Total 26 0.01320 Root MSE 0.02266 R-square 0.0270 Dep Mean 0.12754 Adj R-sq -0.0120 C.V. 17.77059 Parameter Estimates Parameter Standard T for H0: Variable DF Estimate Error Parameter=0 Prob > |T| INTERCEP 1 0.120990 0.00899864 13.445 0.0001 TRIND 1 3.803296 4.56974538 0.832 0.4131 Standardized Variable DF Estimate INTERCEP 1 0.00000000 TRIND 1 0.16419629 The SAS System 12:19 Tuesday, December 28, 1999 6 -+------+------+------+------+-- -+------+------+------+------+- | | | | 0.18 + + 0.04 + + | | | 1 | | | | 1 | | 1 | | 1 | 0.16 + 1 + | 1 1 1 1 1 | | 1 1 1 | 0.02 + + T | 1 1 1 | R | 1 | R | | E | | D 0.14 + 1 1 + S | 1 1 | E | 1 1 | I | 1 | P | 1 | D 0.00 + + | 1 1 1 | U | 1 1 | 0.12 + + A | 1 1 1| | 1 1 1 | L | 1 1 1 | | 2 1 1 | | 1 1 | | | -0.02 + 1 + 0.10 + 1 + | | | 1 | | 1 | | 1 | | 1 | | | | 1 | 0.08 + 1 + -0.04 + 1 + | | | | -+------+------+------+------+-- -+------+------+------+------+- 0.000 0.001 0.002 0.003 0.004 0.000 0.001 0.002 0.003 0.004 TRIND TRIND