A the Standard Error of the Estimate $\mathrm{a}$ Be Bued to Determine a Range Within Which the

question 18

Short Answer

A. The standard error of the estimate $\mathrm{a}$ . be bued to determine a range within which the independent $\mathrm{X}$ variables can be predicted with varying degrees of statistical confidence based on the regression coefficients and the value for the $Y$ variable.
B. The best estimate of the $t^{\text {th }}$ value for the dependent variable is
$$\hat{Y}{ }_{t}$$

, as predicted by the regression equation
C. If the u error terms are normally distributed about the regression equation, there is a $95 \%$ probability that observations of the dependent variable will lie within roughly three standard errors of the estimate.
D. If $r=1$ , there is a perfect inverse line ar relation between the dependent $Y$ variable and a single independent $X$ variable.
E. If $r=0$ , the dependent and independent variables are autonomous.

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