# coefficient of determination

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## coefficient of determination

[¦kō·ə′fish·ənt əv di‚tər·mə′nā·shən]
(statistics)
A statistic which indicates the strength of fit between two variables implied by a particular value of the sample correlation coefficient r. Designated by r 2.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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(2002) obtained higher values of repeatability, with three to seven cycles of measurements indicated as sufficient to predict the real value of the palm heart production characters, with coefficient of determination higher than 85%.
Table 6 summarizes the results of the experimental verification for three different types of models in the form of the mean relative error MRE and the coefficient of determination [R.sup.2].
Fitted models for the leaf area (LA, [cm.sup.2] per leaf) of Acca sellowiana, adjusted coefficient of determination ([R.sup.2]), mean absolute error (MAE) and concordance correlation coefficient (CCC), according to the dimensions of the leaves: width (W) and length (L) of leaf blade Equation [R.sup.2] MAE CCC (%) Mod.
The value of coefficient of determination, [R.sup.2] is 0.517 or 51.70% which indicates that around 52% of variation in the dependent variable (CAR) can be explained by the independent variable (NPL) in the above mentioned regression model.
For the SIN IgG2 subclass, the coefficient of determination with the LC-MS/MS IgG subclass measurements was also improved when multivariate linear regression incorporating both IgG2 and IgG4 ([R.sup.2] = 0.74) was used compared with using LC-MS/MS IgG2 alone ([R.sup.2] = 0.46; Table 2).
Parameter Value [[lambda].sub.max] (nm) 422 Beer's law limit ([micro]g/mL) 1-30 Molar absorptivity (L/mol/cm) 2.285 x [10.sup.4] LOD ([micro]g/mL) 0.0691 LOQ ([micro]g/mL) 0.2095 Linear regression equation (Y = a + bc) Slope (b) 0.0259 Intercept (a) -0.0133 Coefficient of determination ([r.sup.2]) 0.9992 TABLE 4: Recovery study of miconazole nitrate from pharmaceutical formulations.
The median values of the coefficient of determination ([R.sup.2]) of all semimeridians in the two groups were both above 0.9.
The linearity was evaluated at 8 levels of concentration and in the two methodologies with a coefficient of determination > 0.98.
Caption: Figure 11: Comparison of the accuracy of monthly precipitation downscaled by MLR-based algorithm after residuals correction (termed as MLRARC) and GWR-based algorithm between before residuals correction (termed as GWRBRC) using Root Mean Square Error (RMSE), Mean Absolute Error (MAE), and coefficient of determination ([R.sup.2]).
g) Coefficient of Determination (R2) was identified, in which the highest result was X1.1 Quality standards (0.913)
In comparison, the other reduced parameter set considering the density, DVPE, AVP, distillation range, aromatics and olefins shows a comparable coefficient of determination, but the distinction between different fuels on the index scale becomes more unincisive, as can be seen for the three fuels China, China (2) and EU-Worst-Case at MW index = 0.7.
In relation to the coefficient of determination ([R.sup.2]) of the obtained equations, the AFLi-Cor and AFReal relationship (Figure 1A, B and C) presented satisfactory fits of the points to the line, with determination coefficient of 0.79; for small leaf, 0.84 for medium leaf and 0.93 for large leaf when classified by leaf size and 0.97 when disregarding leaf classification (Figure 1D).

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