A multiple regression model is used to predict an NFL team's winning record (Win). For the explanatory variables, the average rushing yards (Rush) and the average passing yards (Pass) are used to capture offense and the average yards allowed are used to capture defense. A portion of the data for the 2009 NFL season is shown in the accompanying table.

a. Estimate the model: Win = β0 + β1Rush + β2 Pass + β3 Yards Allowed + ε.
b. Conduct a test at the 10% significance level to determine whether the impact of Rush is different from that of Pass in explaining Win, or β1 ≠ β2. Provide the relevant steps.

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Win Yards Team Arizona Cardinals Atlanta Falcons (%) Rush Pass Allowed 62.50 93.40251.00 346.40 56.30 117.21 223.19 348.90 Washington Redskins 25.00 94.38 218.13 319.70