Scottish hill races Hill runningraces up and down hillshas a

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 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 men\'s records as of 2000 looks like this: Dependent variable is Men\'s record R-squared = 98.0% R-squared (adjusted) = 98.0% s = 369.7 with 71 - 3 = 68 degrees of freedom Write the regression equation. Give a brief report on what it says about men\'s record times in hill races. Interpret the value of R2 in this regression. What does the coefficient of Climb mean in this regression?

Solution

a) regression equation is

recorded time = -521.995+3.51.879*distance + 0.643396*climb

by putting distance and climb we gwt our desire result

b) R-sq =98%

it is implying that 98% variablity of obcerved data is expressed by the linear regression

c) the effect of climb withh include in recorderd time at 0.643396 times