Unstandardized Coefficients Standardized Coefficients Model B Std. Error Beta t Sig. 1 (Constant) 4.246 .156 27.163...

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Unstandardized Coefficients Standardized Coefficients Model B Std. Error Beta t Sig. 1 (Constant) 4.246 .156 27.163 .000 LBM gender .003 .003 .082 1.037 .301 .565 .073 .618 7.792 .000 a. Dependent Variable: RCC (a) [3 marks] Write down the estimated regression equation and provide interpretations of the estimated beta coefficients for LBM and gender. (b) [4 marks] Calculate a statistical quantity to assess multicollinearity. Does this quantity signal a problem of multicollinearity? (c) [2 marks] Calculate the coefficient of determination R and interpret this number. (d) [2 marks] Determine if the residuals are serially correlated by quoting an appropriate statistic. (e) [6 marks] Perform a hypothesis test at 0.05 level of significance to determine if one unit increase in LBM will result in more than 0.001 unit increase in RCC. Some quantiles from the relevant Student's T distribution are (t0.05 -1.65, to.95 1.65, 0.975 1.97). Write down the null and alternative hypotheses, calculate the test statistics, report the result of the test and state a conclusion in plain English. (f) [3 marks] Would you include an interaction between LBM and gender? Explain your answer. Suppose the estimated coefficient for the interaction between LBM and gender is -0.002, interpret this number. Unstandardized Coefficients Standardized Coefficients Model B Std. Error Beta t Sig. 1 (Constant) 4.246 .156 27.163 .000 LBM gender .003 .003 .082 1.037 .301 .565 .073 .618 7.792 .000 a. Dependent Variable: RCC (a) [3 marks] Write down the estimated regression equation and provide interpretations of the estimated beta coefficients for LBM and gender. (b) [4 marks] Calculate a statistical quantity to assess multicollinearity. Does this quantity signal a problem of multicollinearity? (c) [2 marks] Calculate the coefficient of determination R and interpret this number. (d) [2 marks] Determine if the residuals are serially correlated by quoting an appropriate statistic. (e) [6 marks] Perform a hypothesis test at 0.05 level of significance to determine if one unit increase in LBM will result in more than 0.001 unit increase in RCC. Some quantiles from the relevant Student's T distribution are (t0.05 -1.65, to.95 1.65, 0.975 1.97). Write down the null and alternative hypotheses, calculate the test statistics, report the result of the test and state a conclusion in plain English. (f) [3 marks] Would you include an interaction between LBM and gender? Explain your answer. Suppose the estimated coefficient for the interaction between LBM and gender is -0.002, interpret this number.