20. • Example: Atmospheric Pressure vs. Temperature Temperature AtmosphericPressure 10°C 1003 hPa 15°C 1005 hPa 20°C 1010 hPa 25°C 1011 hPa 30°C 1014 hPa Perform linear regression to determine the regression formula terms and correlation coefficient for the data nearby. Next, use the regression formula to estimate atmospheric pressure at 18°C and temperature at 1000 hPa. Enter REG Mode (Linear Regression) qq 21 A m = (Memory Clear) 10 P1003 S 15 P1005 S 20 P1010 S 25 P 1011 S 30.00 30 P1014 S REG (Regression Coefficient A) A q= 997.400 (Regression Coefficient B) A w= 0.5600 (Correlation Coefficient r) A J = 0.98260736800 (Atmospheric Pressure at 18°C) 18 A b 1007.4800 (Temperature at 1000 hPa) 1000 A O 4.64285714300 •Quadratic Regression • The regression formula for quadratic regression is: y = A + Bx +Cx2. •Input data using the following key sequence. P S • Example: xi yi 29 1.6 50 23.5 74 38.0 103 46.4 118 48.0 Perform quadratic regression to determine the regression formula terms and correlation coefficient for the data nearby. Next, use the regression formula to estimate the values for .y (estimated value of y) for xi = 16 and .x (estimated value of x) for yi = 20. 21. Enter REG mode (Quadratic regression) FF2 r 3 A m = 29 P 1.6 S 50 P 23.5 S 74 P 38.0 S103 P 46.4 S 118 P 48.0 S 118. REG (Regression Coefficient A) A q = -35.59856934 (Regression Coefficient B) A w = 1.495939413 (Regression Coefficient C) A e = -6.71629667-03 (.y when xi = 16) 16 A b -13.38291067 (.x 1 when yi = 20) 20 A O 47.14556728 (.x 2 when yi = 20) A O 175.5872105 Data Input Precautions • SS inputs the same data twice. •You can also input multiple entries of the same data using A G. To input the data “20 and 30” five times, for example, press 20 P 30 A G 5 S. • The above results can be obtained in any order, and not necessarily that shown above. •To delete data you have just input, press A U. Complex Number Calculations (CMPLX Mode) •Press F2 to enter the CMPLX Mode for calculations that include complex numbers. •You can use variables A, B, C and M only. Variables D, E, F, X, and Y are used for storage of the imaginary parts of values and so cannot be used by you. 22. • Example: (2 + 3i) + (4 + 5i) Enter CMPLX Mode F 2 R 2 + 3 i T + R 4 + 5 i T = 6. Real number part A r 8. i Imaginary number part k Absolute Value/Argument Calculation • The procedure described below can be used to determine the absolute value (Abs) and argument (arg) for a complex number of the format Z = a + bi, which is presumed to exist as coordinates on a Gaussian plane. • Example: To obtain the absolute value (r) and argument (.) for the complex number 3 + 4i, when DEG is set for the angle unit mode Imaginary number axis Determine the absolute value. AAR3 +4 iT= Re...
