Based on the scatterplot and residual plot, which type of model would best summarize the
relationship between launch angle and punt height?
A punter for a football team is trying to determine
the optimal angle for striking the football off his foot
—this is called the launch angle. Using video, his
coach records a number of punts kicked using
different launch angles and the height in feet for
each punt. Using computer software, the coach
achieves a linear model by taking the log of each
launch angle and plotting against the log of each
height.
O A linear model is appropriate because the
residual plot shows a random scatter.
O A logarithmic model is appropriate because
logarithms were used to transform the data sets.
O A power model is appropriate because the
scatterplot of log angle and log height is roughly
linear.
O An exponential model is appropriate because the
scatterplot of log angle and log height is roughly
linear.
log(Height) vs. log(Launch Angle)
log(Height)
1.85
1.8
1.75
1.7
1.55
1.6
1.55
.
No