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0 o 1.04719755100 • 0 n, 0 o swaps displayed value with value in memory. k Permutation • Example: To deter mine how many different 4-digit values can be produced using the numbers 1 through 7 •Numbers cannot be duplicated within the same 4-digit value (1234 is allowed, but 1123 is not). 7 A m 4 = 840. k Combination • Example: To deter mine how many different 4-member groups can be organized in a group of 10 individuals 10 n 4 = 210. (fx-85W: A n) E-18 Statistical Calculations k Standard Deviation (SD Mode) •Press F F 1 (fx-85W) to enter the SD Mode for statistical calculations using standard deviation. For other models, press F 2. •Data input always star ts with A m = to clear statistical memory. •Input data is used to calculate values for n, .x, .x2 , o, .n and .n-1 which you can recall using the key operations noted nearby. 0 1 .x2 0 2 .x 0 k n A M o A A .n A N .n-1 • Example: To calculate .n1, .n, o, n, .x, and .x2 for the following data : 55, 54, 51, 55, 53, 53, 54, 52 Enter SD Mode fx-85W: F F 1 Other models: F 2 A m = (Memory Clear) 55 S 54 S 51 S 55 S 53 S S 54 S 52 S 52.00 SD (Sample Standard Deviation .n1) A N = 1.40788595300 (Population Standard Deviation .n) A A = 1.31695671900 (Ar ithmetic Mean o) A M = 53.37500 (Number of Data n) 0 k 8.00 (Sum of Values .x) 0 H 427.00 (Sum of Squares of Values .x 2) 0 G 22805.00 E-19 Data Input Precautions • S S inputs the same data twice. •You can also input multiple entries of the same data using A G. To input the data 110 ten times, for example, press 110 A G 10 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. k Regression Calculations (REG Mode) •Press F F 2 (fx-85W) to enter the REG mode and then select one of the following regression types. For other models, press F 3. 1:Linear regression 2: Logarithmic regression 3:Exponential regression r 1:Power regression r 2:Inverse regression r 3:Quadratic regression •Data input always starts with A m = to clear statistical memory. • The values produced by a regression calculation depend on the values input, and results can be recalled using the key operations shown in the table below. 0 G .x2 A N x.n-1 0 H .x A l p 0 k n A d y.n 0 h .y2 A c y.n-1 0 n .y A q Regression coefficient A 0 o .xy A w Regression coefficient B 0 M .x3 A e Regression coefficient C 0 x .x2y A u Correlation coefficient r 0 y .x4 A O m A M o A b n A A x.n E-20 •Linear Regression The regression formula for linear regression is: y A Bx. • 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) fx-85W: q q 2 1 Other models: q 3 1 A m = (Memory Clear) 10 P1003 S 15 P1005 S 20 P1010 S 25 P1011 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 (Temper ature 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 E-21 • 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. Enter REG mode (Quadratic regression) fx-85W: F F 2 r 3 Other models: q 3 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 (Regression Coefficient A) A q = (Regression Coefficient B) A w = (Regression Coefficient C) A e = (.y when xi = 16) 16 A b (x. 1 when yi = 20) 20 A O (.x 2 when yi = 20) A O Data Input Precautions • S S 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. 118. REG -35.59856934 1.495939413 -6.71629667-03 -13.38291067 47.14556728 175.5872105 E-22 Formula Memory (fx-85W) •Formula memor y lets you input a single for mula in memor y, and then input values for the formula's variables to calculate results. •Memory can hold a single formula, up to 79 steps long. This function can be used in the COMP mode only. •Note that the formula is actually stored in memory when you press the C key in the sequence below. • Example: To save the following formula, recall it, and then use it to calculate a result: Y = X2 + 3X – 12 Input the...

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