Scottish hill races Hill runningraces up and down hillshas a written history in Scotland

Chapter 28, Problem 14

(choose chapter or problem)

Scottish hill races Hill runningraces up and down hillshas 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 71 races (for which full information was available and omitting two unusual races) includes the Distance (miles), the Climb (elevation gained during the run in ft), and the Record Time (seconds). A regression to predict the mens records as of 2000 looks like this: Dependent variable is Mens record R-squared = 98.0, R-squared (adjusted) = 98.0, s = 369.7 with 71 - 3 = 68 degrees of freedom Source Sum of Squares df Mean Square F-Ratio Regression 458947098 2 229473549 1679 Residual 9293383 68 136667 Variable Coefficient SE(Coeff) t-Ratio P-Value Intercept -521.995 78.39 -6.66 60.0001 Distance 351.879 12.25 28.7 60.0001 Climb 0.643396 0.0409 15.7 60.0001 a) Write the regression equation. Give a brief report on what it says about mens 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?