From problem 3 give a practical interpretation of the estima

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?

Solution

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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