Statistics
Description
Author: Eddie Shore, November 2011
Extended Statistics Program
This statistics program offers four regression models:
Linear (LIN): y = a + b x
Flags 1 and 2 are Clear
Logarithmic (LOG): y = b + a ln x
Flag 1 is Set, Flag 2 is Clear
Power (PWR): y = b × x^a
Flags 1 and 2 are Set
Exponential (EXP): y = b × e^(ax)
Flag 1 is Clear, Flag 2 is Set
Caution: With this program, a new set of data must be entered for each calculation.
Instructions:
1. Run Program A. ( [ f ] [ √ ] (A) )
2. Set and/or clear flags 1 and 2 to select the regression model.
3. Enter y data point, press [ENTER].
4. Enter x data point, press [ f ] [e^x] (B).
5. Repeat steps 2 and 3 as necessary.
6. Run Program C. ( [ f ] [10^x] (C) ).
Regression Models:
Linear: Clear Flag 1, Clear Flag 2
Logarithmic: Set Flag 1, Clear Flag 2
Power: Set Flag 1, Set Flag 2
Exponential: Clear Flag 1, Set flag 2
Example:
Fit the following data to the four regressions: linear, logarithmic, exponential, and power.
(40.5, 104.5)
(38.6, 102)
(37.9, 100)
(36.2, 97.5)
(35.1, 95.5)
(34.6, 94)
Source: HP 33S Manual
A run through for Linear Regression (key strokes are similar for the others, just set and/or clear flags where necessary):
[ f ] [√ ] (A)
104.5 [ENTER] 40.5 [ f ] [e^x] (B)
102 [ENTER] 38.6 [ f ] [e^x] (B)
100 [ENTER] 37.9 [ f ] [e^x] (B)
97.5 [ENTER] 36.2 [ f ] [e^x] (B)
95.5 [ENTER] 35.1 [ f ] [e^x] (B)
94 [ENTER] 34.6 [ f ] [e^x] (B)
[ f ] [10^x] (C)
Results: r ≈ 0.9955, a ≈ 1.7601, b ≈ 33.5271
Logarithmic:
b = 65.8446, a = -139.0088, r = 0.9965
Power:
b = 0.6640, a = 8.9730, r = 0.9959
Exponential Regulation:
b = 0.0177, a = 51.1312, r = 0.9945
Program resources
Labels
| Name |
Description |
|
| A |
Initialization |
|
| B |
Enter Data |
|
| C |
Analysis |
|
Flags
| Number |
Description |
|
| 1 |
statistics register |
|
| 2 |
statistics register |
|
Program
| Line |
Display |
Key Sequence |
|
| 000 |
|
|
|
| 001 |
42.21.11 |
f LBL A |
|
| 002 |
42 32 |
f ∑ |
|
| 003 |
43 32 |
g RTN |
|
| 004 |
42.21.12 |
f LBL B |
|
| 005 |
43. 6. 1 |
g F? 1 |
|
| 006 |
43 12 |
g LN |
|
| 007 |
34 |
x↔y |
|
| 008 |
43. 6. 2 |
g F? 2 |
|
| 009 |
43 12 |
g LN |
|
| 010 |
34 |
x↔y |
|
| 011 |
49 |
∑+ |
|
| 012 |
43 32 |
g RTN |
|
| 013 |
42.21.13 |
f LBL C |
|
| 014 |
42 49 |
f L.R. |
|
| 015 |
43. 6. 2 |
g F? 2 |
|
| 016 |
12 |
ℯˣ |
|
| 017 |
31 |
R/S |
|
| 018 |
34 |
x↔y |
|
| 019 |
31 |
R/S |
|
| 020 |
1 |
1 |
|
| 021 |
42 48 |
f ŷ,r |
|
| 022 |
34 |
x↔y |
|
| 023 |
43 32 |
g RTN |
|