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Fitting data to a function y = f(x) – HP 49g+ User Manual

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This information indicates that our data ranges from -9 to 9. To produce a
frequency distribution we will use the interval (-8,8) dividing it into 8 bins of
width 2 each.

Select the program

2. Frequencies..

by using

‚Ù˜ @@@OK@@@. The

data is already loaded in

Σ

DAT, and the option Col should hold the value

1 since we have only one column in

Σ

DAT.

Change X-Min to -8, Bin Count to 8, and Bin Width to 2, then press

@@@OK@@@.


Using the RPN mode, the results are shown in the stack as a column vector in
stack level 2, and a row vector of two components in stack level 1. The
vector in stack level 1 is the number of outliers outside of the interval where
the frequency count was performed. For this case, I get the values [ 14. 8.]
indicating that there are, in the

Σ

DAT vector, 14 values smaller than -8 and 8

larger than 8.

Press

ƒ to drop the vector of outliers from the stack. The remaining

result is the frequency count of data.


The bins for this frequency distribution will be: -8 to -6, -6 to -4, …,
4 to 6, and 6 to 8, i.e., 8 of them, with the frequencies in the column vector in
the stack, namely (for this case):

23, 22, 22, 17, 26, 15, 20, 33.


This means that there are 23 values in the bin [-8,-6], 22 in [-6,-4], 22 in [-4,-
2], 17 in [-2,0], 26 in [0,2], 15 in [2,4], 20 in [4,6], and 33 in [6,8]. You
can also check that adding all these values plus the outliers, 14 and 8, show
above, you will get the total number of elements in the sample, namely, 200.

Fitting data to a function y = f(x)

The program

3. Fit data..

, available as option number 3 in the STAT menu,

can be used to fit linear, logarithmic, exponential, and power functions to