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public:calculator:guides:ppc_cv [16/02/26 20:15 GMT] – [PPC ROM Curve Fit] johnpublic:calculator:guides:ppc_cv [17/02/26 08:00 GMT] (current) – [Further Information] john
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 ====== DM41X PPC ROM Curve Fit ====== ====== DM41X PPC ROM Curve Fit ======
  
-** CV **+The PPC ROM's ''CV'' function does similar Curve Fitting to the [[dm41x_curve_fitting|Advantage Pac CFIT]] program, without the limitation on negative data point values. 
 + 
 +Negative ''X'' values are acceptable for ''Linear'' and ''Exponential'' curves 
 + 
 +Negative ''Y'' values are acceptable for ''Linear'' and ''Logarithmic'' 
 + 
 +If any data point has **BOTH** ''X'' and ''Y'' negative then only ''Linear'' is possible. 
 + 
 + 
 +===== Running CV ===== 
 + 
 +<key>XEQ</key> <key>ALPHA</key>''CV''<key>ALPHA</key> 
 + 
 +Unlike ''CFIT'' there is no displayed menu for the top-row buttons, so you need to remember the functions. 
 + 
 +^ Key ^  A  ^  B   ^  C  ^  D  ^  E  ^ 
 +|Shift| ∑- | | | | Initialize| 
 +|     | Σ+ |  Solve Type J  |  Y  |  X  |  Solve Best Type  | 
 + 
 +Unlike normal Stats entry (where Y-value is entered first, then ENTER, then X-value is entered second, so that the X-value is in the ''X'' register before pressing ∑+) here we enter in "conventional" order. 
 + 
 +  * Clear old data <key>SHIFT</key> <key>'E'</key> (Initialize) 
 +  * ''X'' <key>ENTER</key> ''Y'' <key>'Σ+'</key> 
 +  * ''X'' <key>ENTER</key> ''Y'' <key>'Σ+'</key> 
 +  * ''X'' <key>ENTER</key> ''Y'' <key>'Σ+'</key> 
 +  * ''X'' <key>ENTER</key> ''Y'' <key>'Σ+'</key> 
 +  * etc..... 
 + 
 +once the data is accumulated either 
 + 
 +  * enter a fit-type digit (''J'') 
 +    * 1 : Linear : '' Y = b*X + a '' 
 +    * 2 : Exponential : '' Y = a*e<sup>bX</sup> '' 
 +    * 3 : Logarithmic : '' Y = b*Ln(X) + a '' 
 +    * 4 : Power : '' Y = a*X<sup>b</sup> '' 
 +  * then press <key>'B'</key> to ''Solve Type J'' 
 + 
 +or 
 + 
 +  * press <key>'E'</key> to ''Solve Best Type'' 
 + 
 +The solution appears as  
 + 
 +''Z'' : r correlation coefficient 
 +''Y'' : a coefficient 
 +''X'' : b coefficient 
 + 
 +You can now get estimates of ''Y'' (for a given ''X'') or ''X'' (for a given ''Y'') 
 + 
 +You can accumulate more data (to add to what's already there) and do another FIT calculation. 
 + 
 +If you want equally spaced ''X'' coordinates for single variable Y-data ''CV'' puts incrementing digit in ''X'' so you simply 
 + 
 +<key>ENTER</key> ''Y<sub>1</sub>'' <key>'Σ+'</key> 
 + 
 +<key>ENTER</key> ''Y<sub>2</sub>'' <key>'Σ+'</key> 
 + 
 +<key>ENTER</key> ''Y<sub>3</sub>'' <key>'Σ+'</key> 
 + 
 +<key>ENTER</key> ''Y<sub>4</sub>'' <key>'Σ+'</key> 
 + 
 +... 
 + 
 +and you accumulate as if you'd entered ''(1,Y<sub>1</sub>)'', ''(2,Y<sub>2</sub>)'', ''(3,Y<sub>3</sub>)'', ''(4,Y<sub>4</sub>)''...  
 + 
 +If you have ''X'' and ''Y'' data then the automatically incrementing ''X'' is overwritten by the manually entered //real// ''X'' values. 
 + 
 +===== Examples ===== 
 + 
 + 
 +==== Manual Linear Fit ==== 
 + 
 +=== Data === 
 + 
 +Negative ''X'' and ''Y'' values allowed for a ''Linear'' Fit 
 + 
 + 
 +^X^Y^ 
 +| -1.5 | -3| 
 +|1.1|5.2| 
 +|4.5|12.6| 
 +|8.0|20.0| 
 +|10.0|23.0| 
 +|15.6|34.0| 
 + 
 +=== Entry procedure === 
 + 
 +  * <key>SHIFT</key> <key>'E'</key> ''Initialize'' 
 +  * ''1.5''<key>CHS</key> <key>ENTER</key> ''3''<key>CHS</key> <key>'∑+'</key> 
 +  * ''1.1''<key>ENTER</key> ''5.2'' <key>'∑+'</key> 
 +  * ''4.5''<key>ENTER</key> ''12.6'' <key>'∑+'</key> 
 +  * ''8''<key>ENTER</key> ''20'' <key>'∑+'</key> 
 +  * ''10''<key>ENTER</key> ''23'' <key>'∑+'</key> 
 +  * ''15.6''<key>ENTER</key> ''34'' <key>'∑+'</key> 
 + 
 +=== Fit to Linear === 
 + 
 +  * ''1'' (for Linear Fit ''J'' = ''1'') <key>'B'</key> 
 + 
 +=== Results === 
 + 
 +  * Z : '' 0.995734680  '' : r correlation coefficient 
 +  * Y : '' 2.017167182  '' : a coefficient (y-intercept) 
 +  * X : '' 2.113978698  '' : b coefficient (gradient) 
 + 
 +Linear Equation : '' Y = 2.114 X + 2.017 '' 
 + 
 +=== Estimations === 
 + 
 +Predict ''Y'' for ''X = 20 '' 
 + 
 +  * ''20'' <key>'C'</key>  
 +    * '' 44.9674114 '' 
 + 
 +Predict ''X'' for ''Y = 25 '' 
 + 
 +  * ''25'' <key>'D'</key> 
 +    * '' 10.87183747 '' 
 + 
 + 
 + 
 +==== Best Fit Method ====
  
 FIXME FIXME
 +
  
  
 ===== Further Information ===== ===== Further Information =====
  
 +See also : [[dm41x_ppc|]]
  
 {{tag>calculator dm41x}} {{tag>calculator dm41x}}
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 Page created :  16/02/26 20:13 GMT Page created :  16/02/26 20:13 GMT
  
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