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Getting the estimate of interest from the mejctents. A study of asthma and air pollution recruited 200 teenagers to report daily episodes of respiratory distress.

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Getting the estimate of interest from the mejctents. A study of asthma and air pollution recruited 200 teenagers to report daily episodes of respiratory distress. In addition, an outside PM2.5 monitor was installed at their house and took daily measurements of PM2.5 as well. Finally, the participants reported the number of hours they went outside during the same day. The study lasted 3 months. They t the following logistic regression model: togit(P(Kj = 1|th11Xij2D= 50 + lejl + b2Xij2 + b3Xj1 * Xij2 where K1 is the respiratory distress indicator (= 1 if subject i had an episode on measurement j, and = 0 otherwise) ,Xm is the log(PM2.5) measurements and Xi}? is the number of hours subject spent outside. Assuming the above is the true model for the following. a. What is the odds ratio (in terms of the coefcients) of a change in X \"-1 by 2 log units for students that spend 4 hours outside? b. What is the odds ratio for a change in X .51 by 2 log units among subjects that Spend no time outside

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