Linear Regression Analysis Model Fitting and Interpretation

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Linear Regression Analysis: Model Fitting and Interpretation It is established that smoking tends to impair long function. Much of the data to support this claim arises from studies of pulmonary function in adults who are long-time smokers. A question then arises whether such deleterious effects of smoking can be detected in younger individuals (adolescents) who smoke. To address this question. measures of lung function were made in 654 adolescents seen for a routine check-up in a particular pediatric clinic. It was ascertained among these participants whether they were current smokers, A mmmon measurement of lung function is the forced expiratory volume (FEy), which measures how much air (in liters) one can expel from the lungs in a short period of time. A higher FEV is usually aašoeiated with better respiratory function.

(a) FEV  height (b) ttaiduaI plot

(e) (2pt) What is the estimated FEW for height = 55 inches?

(d) (4pt) Based on the Figures. what OLS model assumption(s) may he violated?

(e) (4pt) The following Box-Cox analysis was done to great a possible transformation of there response variable to fix one of the above problems. The estimated theta below is the relevant

parameter for the Bnx-Cnx transformation. From this result, what if any transformation is

suggested? What do you have this conclusion on?

(4pt) Suppose June did re-fit the model, using a logarithmic transform of FEY, and thus would

obtain a new set of 4, and $. How would you interpret your new estimated slope coefficient?

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