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 | Coeff | SE Coeff | T-Value | P-Value ||------------|-------|----------|---------|---------|| Constant | 55.27 | 1.03 | 53.66 | 0.000 || Shoe Size | 1.161 | 0.11 | | 0.000 || Gender | 2.579 | 0.486 | 5.31 | 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 α = 0.05.)- The regression coefficient of shoe size is ___ statistically significant.(c) Does the variable shoe size belong in the model?- The variable shoe size ___ 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.

(a) Obtain the value of the test statistic for shoe size. The value of the test statistic for shoe size is obtained below as follows: From the information, given that slope 1.161 and standard error is 0.11. The required value is, The value of the test statistic for shoe size is 10.55. (b) Determine whether the regression coefficient of shoe size is statistically significant or not. From the information, given the P-value is 0.0000. Use the level of significance is 0.05 The P-value is less than the level of significance. By rejection rule, reject the null hypothesis. That is, the regression coefficient of shoe size is statistically significant. (c ) Determine whether the variable shoe size belongs to the model or not. Since, the variable shoe size has been fitted in the model it can be concluded that the variable shoe size belongs to the model. Therefore, The variable shoe size does belong to the model. (d) Interpret the regression coefficient of Gender. The regression coefficient of Gender is interpreted below as follows: Males are 2.579 inches taller than females, on average controlling for shoe size.