A group of researchers analyzed the data of 654 adults from their annual health examination. They aimed to investigate the association between the lung function using measure FEV (Forced Expiratory Volume) and height of the participants. Answer the questions below given along with the linear regression output below.. a. Report the estimated regression coefficient for variable height and interpret it in the context of the question using the output above.
b. Construct the 95% confidence interval for the regression coefficient for height and interpret it. The values needed for calculation (the values of estimated regression coefficient and its standard error) are given in the output above. Also, add a brief comment if the confidence interval gives the same conclusion on the significance of the variable height in the regression model as the p-value does. (Use t_652,0.025=1.9637669 for the CI construction.)
c. Shapiro Wilk test on the outcome fev was conducted to check if the variable was normally distributed. With the result given below, what can we say about the normality of the variable? If the result implies that it is not normally distributed, what would be the appropriate remedial approach to it?