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| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| public:calculator:guides:dm15l_curve_fit [01/02/26 22:05 GMT] – [Background] john | public:calculator:guides:dm15l_curve_fit [01/02/26 22:26 GMT] (current) – [Method for Power] john | ||
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| The idea is that the 3 different non-linear function forms can be expressed as linear expression '' | The idea is that the 3 different non-linear function forms can be expressed as linear expression '' | ||
| - | The different curves require different treatment of the data to linearize, and the resulting coefficients may require | + | The different curves require different treatment of the data to linearize, and the resulting coefficients may require |
| + | |||
| + | ===== Tl;dr ===== | ||
| + | |||
| + | ==== Method for Exponential==== | ||
| + | **y = b.e< | ||
| + | |||
| + | '' | ||
| + | |||
| + | |Enter Accumulation data | '' | ||
| + | |Calculate coefficients | ''< | ||
| + | |Estimate ŷ & r for a new '' | ||
| + | |||
| + | ==== Method for Logarithmic ==== | ||
| + | **y=a.ln(x)+b** | ||
| + | |||
| + | '' | ||
| + | |||
| + | |Enter Accumulation data | '' | ||
| + | |Calculate coefficients |< | ||
| + | |Estimate ŷ & r for a new '' | ||
| + | |||
| + | ==== Method for Power ==== | ||
| + | **y=b.x< | ||
| + | |||
| + | '' | ||
| + | |||
| + | |Enter Accumulation data |'' | ||
| + | |Calculate coefficients |< | ||
| + | |Estimate ŷ & r for a new '' | ||
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| Once the L.R. has run you can find estimates of '' | Once the L.R. has run you can find estimates of '' | ||
| - | === Method | + | ==== Mechanism ==== |
| To enter the data points you convert the '' | To enter the data points you convert the '' | ||
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| Once all the data has been entered you get the Linear Regression coefficients '' | Once all the data has been entered you get the Linear Regression coefficients '' | ||
| - | === Example Data === | + | ==== Example Data ==== |
| - | |**x**|0.8|1.1|1.7|2.1| | ||
| |**y**|2.8|3.6|5.8|8.0| | |**y**|2.8|3.6|5.8|8.0| | ||
| + | |**x**|0.8|1.1|1.7|2.1| | ||
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| To estimate '' | To estimate '' | ||
| - | === Method | + | ==== Mechanism ==== |
| Line 112: | Line 143: | ||
| '' | '' | ||
| - | === Example Data === | + | ==== Example Data ==== |
| - | |**x**|0.8|1.7|2.6|4.9| | ||
| |**y**|1.5|1.7|1.8|2.1| | |**y**|1.5|1.7|1.8|2.1| | ||
| + | |**x**|0.8|1.7|2.6|4.9| | ||
| + | |||
| < | < | ||
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| - | === Method | + | ==== Mechanism ==== |
| Accumulate using | Accumulate using | ||
| Line 180: | Line 212: | ||
| '' | '' | ||
| - | === Example Data === | + | ==== Example Data ==== |
| - | |**x**|0.6|1.3|2.4|3.6| | ||
| |**y**|1.3|2.2|3.3|4.4| | |**y**|1.3|2.2|3.3|4.4| | ||
| + | |**x**|0.6|1.3|2.4|3.6| | ||
| + | |||
| < | < | ||
