An animal trainer tests whether the number of hours of obedience training can predict where a dog places in a breed show. The hypothetical data are given below.
Hours of Training ____________________________ Place in Breed Show
______X____________________________________________Y_______
18 ..................................................................1
4 ....................................................................6
10 ..................................................................2
7 ....................................................................4
In terms of the method of least squares, which of the following regression lines is the best fit for these data?
(a) Y̑ = −0.338X + 6.545
(b) Y̑ = 0.338X − 6.545
(c) Y̑ = −1.3X + 5.25
(d) Y̑ = 1.3X − 5.25