Transcription of Standard errors of regression coefficients
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Standard errors of regression coefficients
Standard errors of regression coefficients PRECISION OF THE regression coefficients . Simple regression model: Y = b1 + b2X + u probability density function of b 2. Standard deviation of density function of b 2. b2 b 2. We have seen that the regression coefficients b 1 and b 2 are random variables. They provide point estimates of b1 and b2, respectively. In the last sequence we demonstrated that these point estimates are unbiased. 1. PRECISION OF THE regression coefficients . Simple regression model: Y = b1 + b2X + u probability density function of b 2. Standard deviation of density function of b 2. b2 b 2. In this sequence we will see that we can also obtain estimates of the Standard deviations of the distributions. These will give some idea of their likely reliability and will provide a basis for tests of hypotheses. 2. PRECISION OF THE regression coefficients . Simple regression model: Y = b1 + b2X + u . 1 X 2.
However, the size of the sum of the squared deviations depends on two factors: the number of observations, and the size of the deviations of X iabout its sample mean. To discriminate between them, it is convenient to define the mean square deviation of X, MSD(X). 9 MSD()1()2 XXX i n =å-PRECISION OF THE REGRESSION COEFFICIENTS Simple regression ...
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