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 Jump
|
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.