Question 27 3 pts Scottish Hill Climb races We want to predict the record time for women in a Scottish Hill Climb race. There are two x variables to choose from, Distance and Climb. Here is the information for the 3 dimensional relationship between x1, x2, and Y. Multiple Linear Relationship for the women: Coefficients: Term Coef SE Coef T-Value P-Value Constant -11.70 1.91 -6.11 0.000 Distance(km) 4.432 0.222 20.01 0.000 Climb (m) 0.04526 0.00334 13.56 0.000 Model Summary: S R-sq R-sq(adj) R-sq(pred) 10.1208 96.72% 96.65% 96.09% If we are asked to carry out the hypothesis tests for the net regression coefficients using the information above, how many hypothesis tests should we be doing? O 1 O 2 0 3 0 4Question 25 4 pts 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. Race Men (mins) Women(mins) Distance(km) Climb (m) Alva Games Hill Race 18.650 25.817 2.5 385 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 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 S R-5q R-sqladj) 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 S R-5q R-sq(adj) R-sq(pred) 20.8822 80.26% 80.03% 79.34% Best one is x1 = Distance O Best one is x2 = Climb