Response Surface Model

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Presentation transcript:

Response Surface Model NASCAR TRACK Top Qualifying Speeds (Through 2009)

Data Description Units: NASCAR Sprint Cup Tracks Response Variable: Y=Top Qualifying Speed for NASCAR Sprint Cup Series Predictor Variables: X1 = Bank of Turns (Degrees) X2 = Length of Track (Miles) Hypotheses: As Bank Top Speed As Track Length Top Speed

Response Surface Model

Variables beginning with “C” are centered Data Variables beginning with “C” are centered

Second-Order Polynomial Fit Note: Cbank, Clength, and Clength2 are highly significant. Neither the interaction term (CBL) or the quadratic term in Bank (CBank2) appear to be significant

Reduced Model

Plot of Reduced Model (Original Units)

3-D Surface Plot

Contour Plot