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BIOL2608 Biometrics Use of Calculators Scientific calculators fx-3650P fx-50FH Statistics mode (SD mode) fx-3650P • MODE • MODE • 1 SD fx-50FH • MODE • MODE • 4 SD Clear data fx-3650P • • • • SHIFT MODE 1 (Scl) EXE Stat Clear fx-50FH • • • • SHIFT 9 1 (Stat) EXE (Clr Stat) Data Clear! Data entry fx-3650P • [Data] • M+ n= fx-50FH • [Data] • M+ Line = Try to enter the following data 102 103 104 104 104 104 104 105 106 108 108 110 Method: 102 M+ 103 M+ 104 M+ 104 M+ 104 M+ 104 M+ 104 M+ 105 M+ 106 M+ 108 M+ 108 M+ 110 M+ Data entry fx-3650P • [Data] • M+ fx-50FH • [Data] • M+ For multiple entries Repeat M+ OR Xi SHIFT , fi Try to enter the following data 102 103 104 104 104 104 104 105 106 108 108 110 Method: 102 M+ 103 M+ 104 SHIFT , 5 M+ 105 M+ 106 M+ 108 M+ M+ 110 M+ No. of observation fx-3650P • • • • SHIFT 1 3 EXE n= fx-50FH • • • • SHIFT 1 3 EXE n= If you have entered your data correctly, n = 12 Mean fx-3650P • • • • SHIFT 2 1 EXE x= fx-50FH • • • • SHIFT 2 1 EXE x= If you have entered your data correctly, x = 105.1666667 Standard deviation (population) fx-3650P • • • • SHIFT 2 2 EXE xn = fx-50FH • • • • SHIFT 2 2 EXE xn = If you have entered your data correctly, xn = 2.266911751 Standard deviation (sample) fx-3650P • • • • SHIFT 2 3 EXE xn-1 = fx-50FH • • • • SHIFT 2 3 EXE xn-1 = If you have entered your data correctly, xn-1 = 2.367712104 Sum of observations fx-3650P • • • • SHIFT 1 2 EXE x = fx-50FH • • • • SHIFT 1 2 EXE x = If you have entered your data correctly, x = 1262 Sum of square of observations fx-3650P • • • • SHIFT 1 1 EXE x2 = fx-50FH • • • • SHIFT 1 1 EXE x2 = If you have entered your data correctly, x2 = 132782 Maximum / Minimum fx-3650P No such function fx-50FH • • • • • • SHIFT 2 Right 1 (minimum) 2 (maximum) EXE If you have entered your data correctly, minX / maxX = minX = 102, maxX = 110 Exercise 1.28 1.33 0.96 1.88 1.25 0.93 1.19 2.25 1.63 2.67 1.87 2.54 1.00 0.92 1.22 1.04 0.96 2.16 3.00 3.06 1.55 0.83 0.96 1.05 3.00 1.58 2.31 1.78 1.25 0.76 0.97 0.90 1.19 N Mean SD (population) SD (sample) Sum of x Sum of x2 Exercise 1.28 1.33 0.96 1.88 1.25 0.93 1.19 2.25 1.63 2.67 1.87 2.54 1.00 0.92 1.22 1.04 0.96 2.16 3.00 3.06 1.55 0.83 0.96 1.05 3.00 1.58 2.31 1.78 1.25 0.76 0.97 0.90 1.19 N 33 Mean 1.554 SD (population) 0.688 SD (sample) 0.699 Sum of x 51.27 Sum of x2 95.2943 Linear Regression mode fx-3650P • • • • MODE MODE 2 1 REG fx-50FH • • • • MODE MODE 5 1 REG Again, you need to clear the previous data Clear data fx-3650P • • • • SHIFT MODE 1 (Scl) EXE Stat Clear fx-50FH • • • • SHIFT 9 1 (Stat) EXE (Clr Stat) Data Clear! Data entry fx-3650P • [x],[y] • M+ n= fx-50FH • [x],[y] • M+ Line = Linear Regression fx-3650P •Shift •1 •Shift •2 fx-50FH • x2 • x • n • x • xn • xn-1 • y2 • y • xy • y • yn • yn-1 •Shift •1 • A • B • r •Shift •2 •1 Calculating fx-3650P • • • • • • [y] SHIFT 2 RIGHT ( X 3) 1 EXE For and fx-50FH • [y] • SHIFT • 2 • 1 • RIGHT ( X 3) • 1 • EXE , enter [x] instead of [y] Exercise Sample xi yi 1 2 3 4 15 50 35 90 0.4 3.1 1.2 4.3 Find: • n • Sum, mean & sample SD of x • Sum, mean & sample SD of y • Sum of x2 • Sum of y2 • Sum of xy • A, B, r • when y = 3 • when x = 60 Exercise Find: • n • Sum, mean & sample SD of x • Sum, mean & sample SD of y • Sum of x2 • Sum of y2 • Sum of xy • A, B, r • when y = 3 • when x = 60 • • • • • • • • • 4 190, 47.5, 31.75 9, 2.25, 1.77 12050 29.7 590 -0.30, 0.054, 0.96 61.46 2.92 Exit of Statistics / Regression Mode fx-3650P fx-50FH • MODE • 1 • MODE • 1 COMP COMP