# Coefficient of determination

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## Coefficient of determination

A measure of the goodness of fit of the relationship between the dependent and independent variables in a regression analysis; for instance, the percentage of variation in the return of an asset explained by the market portfolio return. Also known as R-square.

## R Square

In statistics, the percentage of a portfolio's performance explainable by the performance of a benchmark index. The R square is measured on a scale of 0 to 100, with a measurement of 100 indicating that the portfolio's performance is entirely determined by the benchmark index, perhaps by containing securities only from that index. A low R square indicates that there is no significant relationship between the portfolio and the index. An R Square is also called the coefficient of determination. See also: Beta.
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Cumulative proportion of variation (%)###27.55###46.91###58.46###65.91###69.49
Proportion of variation in sensory evaluation of pork loin tenderness explained by WBS and TPA parameters using stepwise regression (n = 380) Sensory evaluation Soft IT Chew Break WBS 0.5 TPA parameters Hardness 15.11 *** 16.9 *** 18.5 *** 15.6 *** Cohesiveness Springiness 1.2 Gumminess Chewiness Cumulative contribution 15.1 18.1 18.5 16.1 Sensory evaluation Residue Juiciness Coating WBS 1.2 4.3 *** 1.2 * TPA parameters Hardness 6.6 *** 2.4 ** 5.2 *** Cohesiveness 0.5 Springiness 1.3 * 1.0 * Gumminess Chewiness Cumulative contribution 7.8 8.0 7.9 WBS, Warner-Bratzler shear force; TPA, Texture profile analysis; Soft, softness; IT, initial tenderness; Chew, chewiness; Break, rate of breakdown; Residue, amount of perceptible residue; Coating, mouth coating.
Thus, the explained Level-1 proportion of variation due to inclusion of both household level and child's characteristics in the model was 11%.
A measure of their adequacy for the user's needs is the proportion of variation in users' investment decisions explained by these cues.
As with DP, a high proportion of variation was explained by a relatively simple equation based on the same two variables.
Because MZ twins share 100% of their genes, and DZ twins share, on average, only 50% of their genes, the heritability of IQ (i.e., the proportion of variation in IQ that is due to genetic factors) can be estimated by doubling the difference between the correlations for MZ and DZ twins.
The proportion of variation in seed weight that was attributable to site, shrubs, and within-shrub, was remarkably similar to that found in other species.
Table 3 Regression Model of Percentage of Clients Entering Jobs Variable Coefficient Standard error Percentage of clients enrolled in JOBS .274 .096 Percentage of clients in job readiness activities .296 .062 Percentage of clients black -.361 .102 Percentage growth in employment -.382 .204 Population density .004 Proportion of variation explained .002 ([R.sup.2]) .54 Variable Significance Percentage of clients enrolled in JOBS .006 Percentage of clients in job readiness activities .000 Percentage of clients black .001 Percentage growth in employment .066 Population density .053 Proportion of variation explained ([R.sup.2])
Wetstein also, in my view, expresses an excessively positivist view of "explanation," equating it with proportion of variation explained or goodness of (empirical) fit.
The proportion of variation explained by the lineage or lineage x f effect is very low (Table 1).
[[Beta].sub.1] estimates, indicating the proportion of variation due to risk premium, are universally positive and reliably different from zero.
Indeed, in the 1980s, the proportion of variation due to unpredictable structural changes has increased for the effects of wealth on consumption and for the effects of the short-term interest rate on the bond rate and the exchange rate.

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