From problem 3, give a practical interpretation of the estimates of the y-interc

Question

From problem 3, give a practical interpretation of the estimates of the y-intercept of the least squares line. The regression line for the given data is y = 2.097 x - 0.552. Determine the residual of a data point for which x =3 and y = 6. A history instructor has given the same pretest and the same final examination each semester. He is interested in determining if there is a relationship between the scores of the two tests. He computes the linear correlation coefficient and notes that it is 1.15. What does this correlation coefficient value tell the instructor?

Explanation / Answer

Q5.
Regression Equation = 2.097x - 0.552
Residual for which x=3 and y = 6 is (y-Yi)^2 => Y' = 2.097(3) - 0.552 = 5.739

Y - Yi= (6 - 5.739) = 0.261

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