Hill running - races up and down hills - has a written history in Scotland datin
ID: 3057242 • Letter: H
Question
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
6666
races includes the distance (miles), climb (feet), and record time (seconds). Here is output from a regression analysis of men's records (as of 2000):
Response variable is record time
Variable
coefficient
SE(coef)
constant
negative 480480
72.372.3
distance
359.7359.7
17.417.4
climb
0.5810.581
0.0360.036
Analysis of Variance
Source
Sum of squares
Model
537192537192
Error
1188811888
What percent of the variation in record time is explained by this regression model? (Write your answer as a percent and round to one decimal place after the decimal point.)
98 98%
Variable
coefficient
SE(coef)
constant
negative 480480
72.372.3
distance
359.7359.7
17.417.4
climb
0.5810.581
0.0360.036
Explanation / Answer
Result:
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
6666
races includes the distance (miles), climb (feet), and record time (seconds). Here is output from a regression analysis of men's records (as of 2000):
Response variable is record time
Variable
coefficient
SE(coef)
constant
negative 480480
72.372.3
distance
359.7359.7
17.417.4
climb
0.5810.581
0.0360.036
Analysis of Variance
Source
Sum of squares
Model
537192
Error
11888
Total
549080
What percent of the variation in record time is explained by this regression model? (Write your answer as a percent and round to one decimal place after the decimal point.)
R square = RSS/TSS = 537192/549080 =0.97835
percent of the variation in record time is explained = 97.8%
Variable
coefficient
SE(coef)
constant
negative 480480
72.372.3
distance
359.7359.7
17.417.4
climb
0.5810.581
0.0360.036
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