16. In a recent study on American travel habits, the following data were obtained:

Questions: a Is there a relationship between the presence of children at home and the sex of the respondent? b What is the relationship between age and the presence of children at home? (Hint: Create nominal age categories.) c What is the relationship between age and number of vacations taken per year? Calculate r-squared. (Hint: Plot the data points before doing a regression analysis. Look for the inter- action of an extraneous variable, and calculate your least-squares regression line(s) accord- ingly. Is one equation appropriate? Would two explain the data better d is (are) your answers) to question c significant? (ie, was a significant proportion of the variance in the dependent variable explained by the regression?) (See chapter appendix, Bivariate Inference Tests.) e Using the equation(s) you computed in the previous problem, complete the following data set:

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Children Respondent's Case Sex at home? age Vacations per year 1 M Y 25 1 2 M N 52 16 3 F N 34 8 4 F Y 33 1 5 F Y 51 5 6 F Y 29 0 7 M Y 35 2 8 F N 27 8 9 M Y 46 4 10 M N 30 11 F N 45 12 M Y 88 10 14 38 3