Question: Modeling jumps. Here are the summary statistics for the Olympic long jumps and high jumps displayed in the scatterplot above:
Event Mean StdDev
Long Jump 316.04 20.85
High Jmp 83.85 7.46
Correlation = 0.925
a) Write the equation of the line of regression for estimating High Jump from Long Jump.
b) Interpret the slope of the line.
c) In a year when the long jump is 350 inches, what high jump would you predict?
d) Why can't you use this line to estimate the long jump for a year when you know the high jump was 85 inches?
e) Write the equation of the line you need to make that prediction.