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A Scatter Diagram Includes the Data Points:
(X = 2,y y^\hat { y }

question 49

Essay

A scatter diagram includes the data points:
(x = 2,y = 5),
(x = 4,y = 12),
(x = 6,y = 20),
(x = 8,y = 28),and
(x = 10,y = 30).
Two regression lines are proposed:
(1) y^\hat { y } = -.6 + 3x
(2) y^\hat { y } = -1 + 5 x
Using the least squares criterion,which of these regression lines is the better fit to the data? Why?


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