08-09-2020, 03:44 PM
An extract from DEVELOPMENT AND CALIBRATION OF TWO AND FOUR WIRE WATER SURFACE WAVE HEIGHT MEASUREMENT SYSTEMS, Naval Postgraduate School, Thesis - MS ENGINEERING ACOUSTICS, December 1992
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APPENDIX A
I. HP-15C CALCULATOR LEAST SQUARES FIT STANDARD DEVIATIONS PROGRAM CODE
The standard deviations in all the least squares fit parameters were discussed in chapter II E. This is program code for the HP-15C hand held calculator, which can be used to solve equations (2.16 through 2.19) for data entered into the calculator using the summation key (B1 P66/67). The calculator stores the different summation values in the following register as shown in Table (A.1).
TABLE A.1. HP-15C REGISTER VALUES AFTER USING SUMMATION KEY.
Register Value
2 N, the number of samples
3 summation of Xn
4 summation of Xn²
5 summation of Vn
6 summation Of Vn²
7 summation of XnVn
The standard deviations in y, slope, and intercept are displayed at program lines 040, 054, and 067 respectfully. The program code is shown below.
Program Program Calculator
function line number keys
g[P/R] 000
f [LBL]C 001 42,21,13
RCL[5] 002 45,5
g[x²] 003 43,11
RCL[4] 004 45,4
× 005 20
2 006 2
ENTER 007 36
RCL[7] 008 45,7
× 009 20
RCL[3] 010 45,3
× 011 20
RCL[5] 012 45,5
× 013 20
CHS 014 16
- 015 30
RCL[2] 016 45,2
ENTER 017 36
RCL[7] 018 45,7
g[x²] 019 43,11
× 020 20
+ 021 40
RCL[2] 022 45,2
ENTER 023 36
RCL[4] 024 45,4
× 025 20
RCL[3] 026 45,3
g[x²] 027 43,11
- 028 30
÷ 029 10
CHS 030 16
RCL[6] 031 45,6
+ 032 40
RCL[2] 033 45,2
ENTER 034 36
2 035 2
- 036 30
÷ 037 10
√x 038 11
ST0[8] 039 44,8
R/S 040 31
RCL[4] 041 45,4
ENTER 042 36
RCL[4] 043 45,4
ENTER 044 36
RCL[2] 045 45,2
x 046 20
RCL[3] 047 45,3
g[x²] 048 43,11
- 049 30
÷ 050 10
√x 051 11
RCL[8] 052 45,8
× 053 20
R/S 054 31
RCL[2] 055 45,2
ENTER 056 36
RCL[2] 057 45,2
ENTER 058 36
RCL[4] 059 45,4
× 060 20
RCL[3] 061 45,3
g[x²] 062 43,11
- 063 30
÷ 064 10
√x 065 11
RCL[8] 066 45,8
× 067 20
g[RTN] 068 43,32
"
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APPENDIX A
I. HP-15C CALCULATOR LEAST SQUARES FIT STANDARD DEVIATIONS PROGRAM CODE
The standard deviations in all the least squares fit parameters were discussed in chapter II E. This is program code for the HP-15C hand held calculator, which can be used to solve equations (2.16 through 2.19) for data entered into the calculator using the summation key (B1 P66/67). The calculator stores the different summation values in the following register as shown in Table (A.1).
TABLE A.1. HP-15C REGISTER VALUES AFTER USING SUMMATION KEY.
Register Value
2 N, the number of samples
3 summation of Xn
4 summation of Xn²
5 summation of Vn
6 summation Of Vn²
7 summation of XnVn
The standard deviations in y, slope, and intercept are displayed at program lines 040, 054, and 067 respectfully. The program code is shown below.
Program Program Calculator
function line number keys
g[P/R] 000
f [LBL]C 001 42,21,13
RCL[5] 002 45,5
g[x²] 003 43,11
RCL[4] 004 45,4
× 005 20
2 006 2
ENTER 007 36
RCL[7] 008 45,7
× 009 20
RCL[3] 010 45,3
× 011 20
RCL[5] 012 45,5
× 013 20
CHS 014 16
- 015 30
RCL[2] 016 45,2
ENTER 017 36
RCL[7] 018 45,7
g[x²] 019 43,11
× 020 20
+ 021 40
RCL[2] 022 45,2
ENTER 023 36
RCL[4] 024 45,4
× 025 20
RCL[3] 026 45,3
g[x²] 027 43,11
- 028 30
÷ 029 10
CHS 030 16
RCL[6] 031 45,6
+ 032 40
RCL[2] 033 45,2
ENTER 034 36
2 035 2
- 036 30
÷ 037 10
√x 038 11
ST0[8] 039 44,8
R/S 040 31
RCL[4] 041 45,4
ENTER 042 36
RCL[4] 043 45,4
ENTER 044 36
RCL[2] 045 45,2
x 046 20
RCL[3] 047 45,3
g[x²] 048 43,11
- 049 30
÷ 050 10
√x 051 11
RCL[8] 052 45,8
× 053 20
R/S 054 31
RCL[2] 055 45,2
ENTER 056 36
RCL[2] 057 45,2
ENTER 058 36
RCL[4] 059 45,4
× 060 20
RCL[3] 061 45,3
g[x²] 062 43,11
- 063 30
÷ 064 10
√x 065 11
RCL[8] 066 45,8
× 067 20
g[RTN] 068 43,32
"
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