Consider a linear regression of response variable Y Y1 Yn

Consider a linear regression of response variable Y = (Y_1,. . . ,Y_n) on a predictor variable X = (X_1,. . . ,X_n). The least-squares estimates of intercept and slope, alpha and beta, are the values minimizing the function: Further, predicted values are y(x) = alpha + beta x. Find y(X), where X is the average of the X_i.

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