62 BUSINESS APPLICATIONS OF MULTIPLE REGRESSION
the regression overlaid as a line. Notice that the line slopes up. This is
expected from the positive slope of 0.7350. Notice that the regression
line crosses the Y- axis just above the X- axis. This, too, is to be expected
from the Y- intercept value of 8.1149. Finally, notice how the points are
spread out widely and are not close to the line at all. This behavior indi-
cates a low r
2
, 0.1729 in this case. For a higher r
2
, the points would be
less scattered.
It is important not to read too much into the magnitude of the slope
or the Y- intercept, for that matter. Their values are a function of the
units used to measure the various variables. Had we measured the ages in
months or ...