Transcript Laboratory 7 Notes

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
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•
•
•
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
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•
•
•
SHIFT
2
2
EXE
xn =
fx-50FH
•
•
•
•
SHIFT
2
2
EXE
xn =
If you have entered your data correctly,
xn = 2.266911751
Standard deviation (sample)
fx-3650P
•
•
•
•
SHIFT
2
3
EXE
xn-1 =
fx-50FH
•
•
•
•
SHIFT
2
3
EXE
xn-1 =
If you have entered your data correctly,
xn-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
• xn
• xn-1
• y2
• y
• xy
• y
• yn
• yn-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