An explanation of the following answer would be greatly appreciated.
Consider n pairs of numbers (x1, y1), (x2, y2), . . . , (xn, yn). The mean and standard deviation of the x-values are xbar = 5 and sx = 4, respectively. The mean and standard deviation of the y-values is ybar = 10 and sy = 10, respectively. Of the following, which could be the LSRL?
A) y-hat = -5.0 + 3.0x B) y-hat = 3.0x C) y-hat = 5.0 + 2.5x D) y-hat = 8.5 + 0.3x E) y-hat = 10.0 + 0.4x
I can narrow it down to A or D since (xbar, ybar) has to be on the LSRL. D is stated to be the correct answer but I can't determine why.
Thanks for the help!
Deb Arnold Math Teacher Lakeville South High School