7. Write out the fitted model for men using the significant estimated parameters

Question

7. Write out the fitted model for men using the significant estimated parameters.

8. What is the predicted height of a man who weighs 50kg?

9. Write down the form of an F-statistic that could be used to perform the appropriate hypothesis for this question.

10. If you can perform this test with the output, do so, otherwise state that you can not.

1) Wt weight in kg. 2) Ht height in cm. 3) Sex male or female. The objective is to predict the height of an athlete from their weight, and to determine whether differences in height can be attributed to sex. Information on the data and the model fit in R are shown below: names (sportsdata) [1] "Sex Ht Wt n 202 dummy Sex repo (0,202) dummy Sex Csex "male"] 1 1m.out 1mCHt Wt dummy Sex) summary Clm. out) Coefficients Estimate Std. Error t value Pr (>ltl) (Intercept) 142.7888 2.4758 57.674 2e-16 Wt 0.4723 0.0357 13.228 2e-16 dummy Sex 3.7420 0.9920 3.772 0.000213 Signif codes: 0 0.001 0.01 0.05 0.1 Residual standard error: 5.904 on 199 degrees of freedom Multiple R-Squared: 0.6359,Adjusted R-squared: 0.6322 F-statistic: 173.7 on 2 and 199 DF p-value 2.2e-16 6. In this fitted model, does a 1 kg increase in weight have the same effect on height in women as it does on men? 5 pts) Circle one yes no

Explanation / Answer

7. The fitted model for men is Height = 0.4723* Weight + 3.7420 * Sex + 138.55457

8. Weight = 50kg, Sex = 1, since its a 50kg man , so height = (0.4723 * 50) + (3.7420*1) + 138.55457

Height = 165.91157 cms

9. F = Sm2(Sample variance when sex = 'Male') /Sf2(Sample variance when sex = 'Female')

10.Can not perform the test

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