A recent study on the evolution of mankind shows that, with a few exceptions, world-record holders in the 100-meter dash have progressively gotten bigger over time (The Wall Street Journal, July 22, 2009). The following table shows runners who have held the record, along with their record-holding times and heights:

A portion of the regression results from estimating Time = β0 + β1Height + is:

a. Formulate the estimated regression equation.
b. Specify the hypotheses to determine whether Height is linearly related to Time.
c. Calculate the value of the test statistic.
d. At the 5% significance level, is Height significant?Explain.

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Time (in seconds) 10.30 10.20 9.90 9.90 9.86 9.74 9.69 Height (in inches) 67 70 68 70 74 75 Record Holder/Year Eddie Tolan (1932) Jesse Owens (1936) Charles Greene (1968) Eddie Hart (1972) Carl Lewis (1991) Asafa Powell (2007) Usain Bolt (2008) 2 Lower Upper Coefficients Error tStat p-value 95% 95% Intercept 3.33 1.1714 3990 91E-05 10.34 16.36 0.0332-0.090.01 Standard Height | -0.0477 | 0.0163