Coefficient of determination definition

Coefficient of determination. ( ) means:
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Coefficient of determination. (r2) means:
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Coefficient of determination. (commonly denoted as “r2”) means a statistical measure that determines how well the regression approximates the actual data points in the calibration curve, with a regression of 1 being a perfect fit.
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Examples of Coefficient of determination in a sentence

  • Coefficient of determination R2 and RMSE associated to the ANN (test) estimates of the worst-case requirement metric w(p,d ) = max g = max f (x = h(p),d ).

  • Performance evaluator.Performance evaluator Calculation Coefficient of determination =12 =∑=1( − )2∑=1( − )2 + ∑( − )2 The above performance analysis had indicated that Oi is true value, Pi is predicted value from type- 2 fuzzy logic and is predicted average value from type-2 fuzzy logic.

  • Table 10 Coefficient of determination testModel SummaryModelRR SquareAdjusted R SquareStd Error of Estimate1.586.343.328.31861 Table 7 shows that the coefficient of determination (R2) is 0.344, which means that 34.3% of the dependent variables, namely Differentiation Strategy (X1) and Product Innovation (X2) can be explained by the independent variable Competitive Advantage.

  • Coefficient of determination (R2) was used to measure the proportion of variance in the dependent variable that can be explained by independent variables.

  • The results show that all the correlations are statistically significant at 95% confidence level.Table 2: Coefficient of determination (R2) from the correlations between the monthly values of AOD and AI from the multiple satellite sensors over Sistan.

  • Coefficient of determination R square is a statistical measure of closeness of data fitted in regression line.

  • Coefficient of determination R is the measure of proportion of the variance of dependent variables about its mean that is explained by the independent or predictor variables.

  • Types of Statistics - descriptive and inferential.Measures of Central Tendency and Dispersion, Meaning, assumptions and limitations of Simple correlations and regression analysis; Pearson’s Product Moment Formula and Spearman’s Rank Correlations, Concept of least squares and lines of regression; Methods of estimating non-linear equations e.g. parabolic equation, Standard Error of estimate Partial and Multiple Correlations, Coefficient of determination.

  • Coefficient of determination is the square of correlation coefficient.

  • Coefficient of determination R2 : If we denote by yt∗ the fitted values from regression analysis, the coefficient of determination is defined as R2 = Cor2(y∗, yt).


More Definitions of Coefficient of determination

Coefficient of determination means a quantity that measures the degree of agreement between the points in a calibra- tion curve and the quadratic function derived to connect them.
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Coefficient of determination means a quantity that measures the degree of agreement between the points in a calibration and the function derived to connect the points.
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Coefficient of determination. (𝑟2) means: ∑𝑛 (𝑦𝑖 − 𝑎0 − (𝑎1 × 𝑥𝑖))2 𝑟2 = 1 − 𝑖=1 ∑𝑛 (𝑦𝑖 − 𝑦)2 𝑖=1 𝑎0 is the axis intercept of the linear regression line 𝑎1 is the slope of the linear regression line 𝑥𝑖 is the measured reference value 𝑦𝑖 is the measured value of the parameter to be verified 𝑦 is the mean value of the parameter to be verified 𝑛 is the number of values
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Coefficient of determination means a quantity that measures the degree of concordance between the points in a calibration curve and the quadratic function derived to connect them.
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Coefficient of determination. ( ) means: where: is the axis intercept of the linear regression line is the slope of the linear regression line is the measured reference value is the measured value of the parameter to be verified is the mean value of the parameter to be verified is the number of values
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Coefficient of determination. (r2) means: (r2)(1((ni 1[yi a0(a1 xi)]2)(ni 1(yiy)2)))
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Related to Coefficient of determination

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