Cat Jumping
Researchers have investigated factors that are related to the
jumping ability of domestic cats (Harris and Steudel, 2002). The
following table of data was measured on
healthy adult cats:
a. Determine and report the least squares line
for predicting takeoff velocity from percent body fat.
Round
to one decimal place and
to three decimal places. The equation of the least squares line is
, where
,
.
b. Report and interpret the slope
coefficient.
Round your answer to three decimal places.
The takeoff velocity is predicted to
increasedecrease
by
cm/sec on average for each one percent increase in body fat.
c. Report and interpret the value of
.
Round your answer to one decimal place.
of the percentage of variability in the takeoff velocities is
explained by this linear regression with percent body fat.
d. Examine a residual plot, and comment on what it
reveals about whether a straight line is a reasonable model for the
relationship between takeoff velocity and percent body fat.
There
is a
patternis not a pattern
in the residual plot which means
there is notthere is
a better regression for this data.
