四、研究者觀察 10 隻相同品種犬隻每日散步時間（X）與每日總睡眠時間 （Y）的關係，結果如下： （每小題 5 分，共 20 分）

  試問：

\(X^2_{1,0.95} = 3.84\), \(X^2_{1,0.975} = 5.02\), \(X^2_{2,0.95} = 5.99\), \(X^2_{2,0.975} = 7.38\),

 \(X^2_{3,0.95} = 7.81\), \(X^2_{3,0.975} = 9.35\), \(F_{2,15,0.95} = 3.68\), \(F_{2,15,0.975} = 4.76\),

\(F_{3,15,0.95} = 3.29\), \(F_{3,15,0.975} = 4.15\), \(F_{4,35,0.95} = 2.64\), \(F_{4,35,0.975} = 3.18\),

\(F_{9,9,0.025} = 0.25\), \(F_{9,9,0.05} = 0.31\), \(F_{9,9,0.95} = 3.18\), \(F_{9,9,0.975} = 4.03\),

 \(t_{9,0.95} = 1.833\), \(t_{9,0.975} = 2.262\), \(t_{18,0.95} = 1.734\), \(t_{18,0.975} = 2.101\)