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Let X_mean and y_mean be the means for the independent and dependent variables o

ID: 3209291 • Letter: L

Question

Let X_mean and y_mean be the means for the independent and dependent variables of a sample of size n. Fit the simple linear regression model y_i = beta_0+ beta_1 x_i + e_i to the sample, and determine which of the following statement is TRUE: The fitted regression line passes through the point (x-mean, y_mean). The prediction error increases linearly as a function of (x_i - x_mean). c. For a given x, . the confidence interval always has the same length as the prediction interval. d The length of the confidence interval is zero at x_i = x_mean.

Explanation / Answer

option a ) the fitted regression line passes through the point (Xmean, Ymean)

because When we use regression model to predict about x-values we didn't use to make the regression line.

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