Casio CFX-9800G-w Owners Manual - Page 74
gREGEA, fllEi, 18ocog
UPC - 079767128685
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•Regression The following are the formulas the unit uses to calculate constant term A and regression coefficient B for the regression formula y=k+Bx. A= Ey -B-Ex n B= n-Exy-ErEy . . n•Ex2 -(£x)2 The following is the formula the unit uses to calculate correlation coefficient r and estimated' values of x and y. r= n•Exy-Ex•Ey -jEn•Ex -(Ex)21 [n•Ey2 -(Ey) 9=A+Bx y- A B ELinear Regression Example *Relationship between temPerature and the length of " a steel bar. Temperature Length 10°C 1003mm 15°C 1005mm 20°C 1010mm 25°C - 1011mm 30°C 1014mm The data in the above table can be used to obtain the terms of the regression formula and the correlation coefficient. Based on the regression formula, the estimated length,of the steel bar at 18°C and the temperature when the bar is 1000 mm long can be calculated. The critical coefficient (r2) and covariance (Exy-n-.1-.17 ) n-1 can also be calculated. Operation, Ea (SET) (DE(NON) OECDgiD(Scl)CI .(Clears memory) 10E(,)10030(DT) 15El(,)1005EI(En 20E(,)1010E1(DT) 25®(,)1011 Ft 30E(,)1014E(DT) g(R(CEonGst)aEnt (tAerm) A) fllEi (Regression coefficient B) F2 (B) (Correlation coefficient r)EINID 18ocog (Length at 18°C) Po (Temperature at 1000mm) ,.1000 (Critical coefficient) (Covariance) CIIMIERE) (EXYA:l D(8)CIME(DEV)ID(Tc) Irag(7)WOCIDEIME) F3(n)01Ulg Display 10 15 20 25 30 997.4 0.9826073689 1007.48 4.642857143 0.9655172414 35 -1 12- •Logarithmic Regression •The logarithmic regression formula is y=A+B•Inx. •Ex, Ex2, and £xy are obtained as Elnx, E(Inx)2, and Elnry respectivelY. . i Example xi yi 29 1.6 50 23.5 74 38.0 103 46.4 118 48.9 The data in the above table cad be used to obtain the terms of the regression formula and the correlation, coefficient. Based on the regression formula, estimated value 9 can be obtained for xi= 80, and estimated value R can be obtained for yi= 73. Operation -e-a,rEi SET) F2 min crs '"(Clears memory) 29E1(,)1.6E(DT) 50EI(,)23.5E(DT) 74g(,)38.0E(DT) 103®(,)46.4 Ft 11817)(,)48.9E(DT) (Constant term A) CffREG)CI(A)E F2 (B) (Regression coefficient B) (Correlation coefficient r) ENE) (9 when xr = 80) BOEL111g (Xi- when yi= 73) 73g(2)g ..Display 3.36729583 3.912023005 4.304065093 4.634728988 4.770684624 -111.1283976 34.0201475 0.9940139466 37.94879482 224.1541313 -113-