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 91 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:

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

Transcribed Image Text:

Dependent variable is: Time (mins) R-squared-98.0% R-squared (adjusted)-:98.0% s 6.623 with 90 3 87 degrees of freedom Source Sum of Squares d Mean Square F-ratio Regression 189204 Residual Variable Intercept 10.3723 1.245 8.33 <0.0001 Climb (m) Distance (km) 4.04204 0.1448 27.9 <0.0001 2 94602.1 2157 3815.92 87 43.8612 Coefficient SE(Coeff) t-ratio P-value 0.034227 0.0022 57 <0.0001