Investigation 11

# Investigation 11 - Vanessa Reapor Statistics 252 Section 07...

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Vanessa Reapor Statistics 252, Section 07 February 26, 2010 Investigation 11: Roller Coasters A. Regression Equation: Age = 36.4 - .095 Speed - .0830 Height + .00006 Length - .0213 Drop - 1.92 Inversions R 2 = 22.8% Adjusted R 2 = 19.6% S= 17.0249 Regression Analysis: age versus Speed, Height, Length, Drop, Inversions The regression equation is age = 36.4 - 0.095 Speed - 0.0830 Height + 0.00006 Length - 0.0213 Drop - 1.92 Inversions S = 17.0249 R-Sq = 22.8% R-Sq(adj) = 19.6% B. Model Utility Test: H 0 : β Speed = β Height = β Length = β Drop = β Inversion = 0 H A : At least 1 β 1 ≠ 0 F-Statistic: 7.15 P-Value: .000 Conclusion: Reject H 0 , Strong evidence to believe that something is at least useful in the model for predicting the age of the roll coaster. Analysis of Variance Source DF SS MS F P Regression 5 10357.7 2071.5 7.15 0.000 Residual Error 121 35071.3 289.8 Total 126 45429.1 C. Individual Coefficients, P-Value Less Than .10

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Investigation 11 - Vanessa Reapor Statistics 252 Section 07...

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