Q. 1 Forced expiratory volume (FEV) is a standard measure of pulmonary function. To identify people with abnormal pulmonary function, standards of FEV for normal people must be established. One problem here is that FEV is related to both age and height. Let us focus on boys who are ages 10 -15 and postulate a regression model of the form FEV = a + B (height) + ɛ %3| Data were collected on FEV and height for 655 boys in this age group residing in Tecumseh, Michigan. Following table presents the mean FEV in liters for each of twelve 4-cm height groups. W S.# Height (ст) 134 Mean FEV (L) 1 1.7 138 1.9 3 142 2.0 4 146 2.1 150 2.2 154 2.5 7 158 2.7 8 162 3.0 9. 166 3.1 10 170 3.4 11 174 3.8 12 178 3.9 Required: (i) Draw a scatter diagram between height and FEV. (ii) Find the best-fitting regression line, and test it for statistical significance using F-test and t test. (iii) Find coefficient of correlation and coefficient of determination. (iv) What proportion of the variance of FEV can be explained by height?

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