Chapter 9, Problem 14E

Scottish hill races Hill running—races up and down hills— has a written history in Scotland dating back to the year 1040. Races are held throughout the year at different locations around Scotland. A recent compilation of information for 90 races (for which full information was available and omitting two unusual races) includes the Distance (km), the Climb (m), and the Record Time (minutes). A regression to predict the men’s records as of 2008 looks like this:

Dependent variable is: Men’s Time (mins)

R-squared = 98.0%

s = 6.623 with 90 – 3 = 87 degrees of freedom

1. a) Write the regression equation. Give a brief report on what it says about men’s record times in hill races.
2. b) Interpret the value of R² in this regression.
3. c) What does the coefficient of Climb mean in this regression?