# regression coefficient

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Related to regression coefficient: correlation coefficient
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 Noun 1 regression coefficient - when the regression line is linear (y = ax + b) the regression coefficient is the constant (a) that represents the rate of change of one variable (y) as a function of changes in the other (x); it is the slope of the regression linestatistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parametersparametric statistic - any statistic computed by procedures that assume the data were drawn from a particular distributionlinear regression, rectilinear regression - the relation between variables when the regression equation is linear: e.g., y = ax + b
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The components of the CPI most affected by a devaluation are: (regression coefficient - Source: air travel (-1.29), vegetables (-1.22), gas (-0.71), fuel (-0.54), books (-0.35).
The regression coefficient, [R.sup.2], is useful because it gives the proportion of the variance (fluctuation) of one variable that is predictable from the other variable.
Preventable patient harm was more prevalent in advanced specialties compared with general hospitals (intensive care or surgery, regression coefficient b = 0.07).
In Table VIII, positive regression coefficient of the fs1 at second period was significant (p<0.01).
we note from test statistics; t and calculated significance; Pr >| t value | that, in market share of Brazil both regression coefficients [beta]13, I,1 significant at 0.05 while the regression coefficient [beta]12 significant at 0.20, while the market share of France, the regression coefficient I,2 is significant at 0.01, but the regression coefficients [beta]22, [beta]23 significant at 0.10, and the market share of other countries the regression constant [alpha]3 is significant at 0.01, the regression coefficient [beta]31 is significant at 0.05.
We used the non-standardized regression coefficient to generate the regression equation.
The table-I indicates that the interaction effect of trauma exposure and social support is non-significant (as p>0.05) for the regression coefficient of trauma exposure x social support on PTSD, however, the interaction effect trauma exposure and social support has significant effect on delinquency as (p<0.001).
[[alpha].sub.1] : Regression coefficient of financing supply equation (i=1, 2, 3, 4)
Where [TYM.sub.i] is the fixed test-year-month effect i; [b.sub.jm] is the mth fixed regression coefficient specific to parity; (one level for the first lactation, and four levels each for the second through fifth lactations); [u.sub.km] and [p.sub.km] are mth RR coefficients specific to cow k for AG and PE effects, respectively; w[([t.sub.kl]).sub.m] is a covariate associated with DIM [t.sub.kl] for TD record l of cow k; and [e.sub.ijkl] is a random residual effect associated with Y1.
For the development of effective genetic improvement programme, it is necessary to acquire knowledge about the genetic parameters including correlation, regression coefficient, heritability and repeatability (Bilgin et al., 2004).
Calculated F test value ([F.sub.stat] = 27,379) is greater than the critical F value ([F.sub.crit] = 2,734) for [alpha] = 0,05 level of significance with 3 and 71 degrees of freedom which means that there is at least one regression coefficient [b.sub.i] (i = 1,2,3) different from zero.
Hypothesis model regression test of multiple linear regressions was obtained by value of variable regression coefficient of GRDP at CMV to per capita income obtained value equal to 1.918 with positive direction.

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