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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.
Based on the scatterplot and residual plot, which type of model would best summarize the relationship between launch angle and punt height?
A linear model is appropriate because the residual plot shows a random scatter.
A logarithmic model is appropriate because logarithms were used to transform the data sets.
A power model is appropriate because the scatterplot of log angle and log height is roughly linear.
An exponential model is appropriate because the scatterplot of log angle and log height is roughly linear.
