2. Suppose in a health screening, seven people take measurement on Gender, Height, Weight and Age. One wants to investig

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2 Suppose In A Health Screening Seven People Take Measurement On Gender Height Weight And Age One Wants To Investig 1 (547.88 KiB) Viewed 26 times

2. Suppose in a health screening, seven people take measurement on Gender, Height, Weight and Age. One wants to investigate the impact of height on weight and get the following SAS output: Parameter Estimates Parameter Estimate Standard Error Variable DF t Value Pr > It! Intercept height 1 1 -592.64458 11.19127 81.54217 1.21780 -7.27 9.19 0.0008 0.0003 The REG Procedure Model: MODEL 1 Dependent Variable: weight Number of Observations Read Number of Observations Used 7 7 Analysis of Variance Sum of Squares Source DF Mean Square F Value Pr > F 84.45 Model Error Corrected Total 0.0003 1 5 6 11880 140.67741 11880 703.38705 12584 Root MSE Dependent Mean Coeff Var 11.86075 155.57143 7.62399 R-Square Adj R-S 0.9441 0.9329 Answer the following questions based on the above SAS output. (a) Write the theoretical model. (b) Write out the estimated regression line. (c) Construct a 95% confidence interval for the slope. (d) What is the coefficient of determination? Explain what this tells us. (e) What is the correlation coefficient between the two variables? (f) Do you think, from this data, that height is a good predictor of weight? Conduct the appropriate hypotheses test to confirm your answer (please include your null and alternative hypotheses, calculate the test statistic and report the P-value. Choose a = .05.