Which of the following is true of the least-squares regression line y = b 1 x +
Question:
Which of the following is true of the least-squares regression line ŷ = b1x + b0?
(a) The predicted value of y, ŷ, is an estimate of the mean value of the response variable for a particular value of the explanatory variable.
(b) The predicted value of y, ŷ, is an estimate of the mean value of the explanatory variable for a particular value of the response variable.
(c) The predicted value of y, ŷ, is an estimate of the value of the response variable for a particular value of the explanatory variable.
(d) The predicted value of y, ŷ, is an estimate of the value of the explanatory variable for a particular value of the response variable.
(e) The sign of the linear correlation coefficient, r, and the sign of the slope of the least-squares regression line, b1, are the same.
(f) The least-squares regression line maximizes the sum of squared residuals.
(g) The least-squares regression line always contains the point (0, 0).
(h) The least-squares regression line always contains the point (x̅, y̅).
(i) The least-squares regression line minimizes the sum of squared residuals.
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