4. I. Suppose that on the basis of a data set at hand, you have obtained a 99% confidence interval for Pi, the slope of the population regression line. Is the following statement true or false? Explain. There is a 99% chance that , is in the interval you have constructed from your data. H. For the regression model Y=PotPIX+ci, i=1,...,n, you want to test the hypothesis Ho:po=Pi vs. Hi:polBi. Write down the reduced model. What is the degrees of freedom for the error sum of squares for this reduced model? What are the degrees of freedom associated with the F-test? HI. From a large physiological study, it has been concluded that the relationship between height (Y, in inches) and forearm length (X, in inches) can be described by a regression model Y=Po+BIX+e, where e ~ Normal(0, o'). Assume that Bo=24.8, B1=2.4 and o'=3.24. For those whose forearms are about 18 inches long, what percentage are between 66 and 71 inches tall