We want to predict the record time for men in a Scottish Hill Climb race. There are two x variables to choose from, Distance and Climb. Here are the first few rows from the data table. Men (mins) Women(mins) Distance(km) Climb (m) Race 18.650 25.817 2.5 385 Alva Games Hill Race 22.250 26.467 4.0 610 Aonach Mor Uphill Race Arrochar Alps 187.650 249.433 25.0 2400 Choose the best single x variable to use to predict the record time for men with only Distance and Climb to choose from. Coefficients for Distance Coef SE Coef T-Value P-Value Term -6.92 2.41 -2.87 0.005 Constant Distance(km) 5.806 0.178 32.57 0.000 Model Summary for Distance R-sq R-sq(adj) R-sq(pred) 92.42% 92.33% 91.20% 12.9402 Coefficients for Climb T-Value P-Value Coef SE Coef Term 0.73 0.466 Constant 2.68 3.66

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Scottish Hill Climb races
We want to predict the record time for men in a Scottish Hill Climb race. There are
two x variables to choose from, Distance and Climb. Here are the first few rows
from the data table.
Men (mins)
Women(mins) Distance(km) Climb (m)
Race
18.650
25.817
2.5
385
Alva Games Hill Race
Aonach Mor Uphill Race
22.250
26.467
4.0
610
Arrochar Alps
187.650
249.433
25.0
2400
Choose the best single x variable to use to predict the record time for men with only
Distance and Climb to choose from.
Coefficients for Distance
Сof
SE Coef
T-Value
P-Value
Term
-6.92
2.41
-2.87
0.005
Constant
32.57
0.000
Distance(km)
5.806 0.178
Model Summary for Distance
R-sq
R-sq(adj)
R-sq(pred)
92.33%
91.20%
12.9402
92.42%
Coefficients for Climb
SE Coef
T-Value
P-Value
Term
Coef
0.73
0.466
Constant
2.68
3.66
Transcribed Image Text:Scottish Hill Climb races We want to predict the record time for men in a Scottish Hill Climb race. There are two x variables to choose from, Distance and Climb. Here are the first few rows from the data table. Men (mins) Women(mins) Distance(km) Climb (m) Race 18.650 25.817 2.5 385 Alva Games Hill Race Aonach Mor Uphill Race 22.250 26.467 4.0 610 Arrochar Alps 187.650 249.433 25.0 2400 Choose the best single x variable to use to predict the record time for men with only Distance and Climb to choose from. Coefficients for Distance Сof SE Coef T-Value P-Value Term -6.92 2.41 -2.87 0.005 Constant 32.57 0.000 Distance(km) 5.806 0.178 Model Summary for Distance R-sq R-sq(adj) R-sq(pred) 92.33% 91.20% 12.9402 92.42% Coefficients for Climb SE Coef T-Value P-Value Term Coef 0.73 0.466 Constant 2.68 3.66
Term
Coef
SE Coef
T-Value
P-Value
Constant
-6.92 2.41
-2.87
0.005
Distance(km) 5.806 0.178
32.57
0.000
Model Summary for Distance
R-sq
R-sq(adj)
R-sq(pred)
12.9402
92.42%
92.33%
91.20%
Coefficients for Climb
Term
Coef
SE Coef
T-Value
P-Value
Constant
2.68
3.66
0.73
0.466
Climb (m)
0.08155
0.00434
18.81
0.000
Model Summary for Climb
R-sq
R-sq(adj)
R-sq(pred)
20.8822
80.26%
80.03%
79.34%
O Best one is x1 = Distance
%3D
O Best one is x2 = Climb
Transcribed Image Text:Term Coef SE Coef T-Value P-Value Constant -6.92 2.41 -2.87 0.005 Distance(km) 5.806 0.178 32.57 0.000 Model Summary for Distance R-sq R-sq(adj) R-sq(pred) 12.9402 92.42% 92.33% 91.20% Coefficients for Climb Term Coef SE Coef T-Value P-Value Constant 2.68 3.66 0.73 0.466 Climb (m) 0.08155 0.00434 18.81 0.000 Model Summary for Climb R-sq R-sq(adj) R-sq(pred) 20.8822 80.26% 80.03% 79.34% O Best one is x1 = Distance %3D O Best one is x2 = Climb
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