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The following multiple regression printout can be used to predict a person's height (in inches) given his or her shoe size and gender, where gender = 1 for males and 0 for females. Regression Analysis: Height Versus Shoe Size, Gender Coefficients Term Coef SE Coef T-Value P-Value Constant 55 . 24 1. 05 52 . 61 0.000 Shoe Size 1.163 0. 17 0.00 Gender 2.577 0 . 484 5.32 0.000 (a) Find the value of the test statistic for shoe size. (Round your answer to two decimal places.) t = (b) Is the regression coefficient of shoe size statistically significant? (Use a = 0.05.) The regression coefficient of shoe size ---Select-- | statistically significant. (c) Does the variable shoe size belong in the model? The variable shoe size |---Select--- | belong in the model. (d) Interpret the regression coefficient of Gender. (Round your answer to 3 decimal places). Males are inches taller than females, on average, controlling for shoe size