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Response Surface Model

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: X 1 = Bank of Turns (Degrees) X 2 = Length of Track (Miles) Hypotheses:

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Response Surface Model

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

  2. 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

  3. Response Surface Model

  4. Data Variables beginning with “C” are centered

  5. 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

  6. Reduced Model

  7. Plot of Reduced Model (Original Units)

  8. 3-D Surface Plot

  9. Contour Plot

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