For the following data X 30 28 41 18 30 45 Y 130.4 125.0 163.3 94.4 130.4 173.9 (a) Estimate the regression equation of
For the following data X 30 28 41 18 30 45 Y 130.4 125.0 163.3 94.4 130.4 173.9 (a) Estimate the regression equation of Y on X using OLS. (b) Estimate and interpret the increase in Y for a unit increase in X. (c) What value of Y would you predict for X-40? Why this value? (d) Calculate the residual for the fourth observation, e4, where X=18. (e) Does the estimated regression line pass through mean values of x and y ? (f) Find the sample mean of y and y. Are they always the same? (g) Compute the correlation between the X variable and the estimated residual. Explain the result. (h) Compute the expected (mean) value of the estimated residuals. Is the mean equal to zero?
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Authors: Ronald M. Weiers
7th Edition
978-0538452175, 538452196, 053845217X, 2900538452198, 978-1111524081
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