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Exam 4 Formulas

# Exam 4 Formulas - Useful Formulas n SSTot = i=1 Yi Y 2 n...

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Useful Formulas SS Tot = n X i =1 Y i - ¯ Y 2 SS Regr = n X i =1 ˆ Y i - ¯ Y 2 SS Res = n X i =1 Y i - ˆ Y i 2 df Tot = n - 1 df Regr = p df Res = n - p - 1 CI for β : b ± ( t -score)(SE of b ) (SE of b ) = ˆ σ S X n - 1 ˆ σ = p MS Res F Distribution Table Right-Tail Probability = 0.05 df 1 df 2 1 2 3 4 5 6 8 12 24 1 161.45 199.50 215.71 224.58 230.16 233.99 238.88 243.91 249.05 254.31 2 18.51 19.00 19.16 19.25 19.30 19.33 19.37 19.41 19.45 19.50 3 10.13 9.55 9.28 9.12 9.01 8.94 8.85 8.74 8.64 8.53 4 7.71 6.94 6.59 6.39 6.26 6.16 6.04 5.91 5.77 5.63 5 6.61 5.79 5.41 5.19 5.05 4.95 4.82 4.68 4.53 4.37 6 5.99 5.14 4.76 4.53 4.39 4.28 4.15 4.00 3.84 3.67 7 5.59 4.74 4.35 4.12 3.97 3.87 3.73 3.57 3.41 3.23 8 5.32 4.46 4.07 3.84 3.69 3.58 3.44 3.28 3.12 2.93 9 5.12 4.26 3.86 3.63 3.48 3.37 3.23 3.07 2.90 2.71 10 4.96 4.10 3.71 3.48 3.33 3.22 3.07 2.91 2.74 2.54 11 4.84 3.98 3.59 3.36 3.20 3.09 2.95 2.79 2.61 2.40 12 4.75 3.89 3.49 3.26 3.11 3.00 2.85 2.69 2.51 2.30 13 4.67 3.81 3.41 3.18 3.03 2.92 2.77 2.60 2.42 2.21 14 4.60 3.74 3.34 3.11 2.96 2.85 2.70 2.53 2.35 2.13 15 4.54 3.68 3.29 3.06 2.90 2.79 2.64 2.48 2.29 2.07 16 4.49 3.63 3.24 3.01 2.85 2.74 2.59 2.42 2.24 2.01 17 4.45 3.59 3.20 2.96 2.81 2.70 2.55 2.38 2.19 1.96 18 4.41 3.55 3.16 2.93 2.77 2.66 2.51 2.34 2.15 1.92 19 4.38 3.52 3.13 2.90 2.74 2.63 2.48 2.31 2.11 1.88 20 4.35 3.49 3.10 2.87 2.71 2.60 2.45 2.28 2.08 1.84 21 4.32 3.47 3.07 2.84 2.68 2.57 2.42 2.25 2.05 1.81 22 4.30 3.44 3.05 2.82 2.66 2.55 2.40 2.23 2.03 1.78 23 4.28 3.42 3.03 2.80 2.64 2.53 2.37 2.20 2.01 1.76 24 4.26 3.40 3.01 2.78 2.62 2.51 2.36 2.18 1.98 1.73 25 4.24 3.39 2.99 2.76 2.60 2.49 2.34 2.16 1.96 1.71 26 4.23 3.37 2.98 2.74 2.59 2.47 2.32 2.15 1.95 1.69 27 4.21 3.35 2.96 2.73 2.57 2.46 2.31 2.13 1.93 1.67 28 4.20 3.34 2.95 2.71 2.56 2.45 2.29 2.12 1.91 1.65 29 4.18 3.33 2.93 2.70 2.55 2.43 2.28 2.10 1.90 1.64 30 4.17 3.32 2.92 2.69 2.53 2.42 2.27 2.09 1.89 1.62 40 4.08 3.23 2.84 2.61 2.45 2.34 2.18 2.00 1.79 1.51 60 4.00 3.15 2.76 2.53 2.37 2.25 2.10 1.92 1.70 1.39 120 3.92 3.07 2.68 2.45 2.29 2.18 2.02 1.83 1.61 1.25 3.84 3.00 2.60 2.37 2.21 2.10 1.94 1.75 1.52 1.00

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t Distribution Table Confidence Level 80% 90% 95% 98% 99% 99.8% Right-Tail Probability df 0.100 0.050 0.025 0.010 0.005 0.001 1 3.078 6.314 12.706 31.821 63.657 318.309 2 1.886 2.920
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