1. The data set birthweight. csv contains information for the sample of 100 low birth weight infants born in Boston, Massachusetts. Measurements of systolic blood pressure are saved under the variable name sbp, and values of gestational age under the name gestage. Complete the following using SAS. Submit your SAS code and relevant output. a. Construct a scatter plot of systolic blood pressure versus gestational age. Does the graph suggest anything about the nature of the relationship between these variables? b. Using systolic blood pressure as the response and gestational age as the explanatory variable, compute the least-squares regression line. Write down the fitted regression equation and interpret the estimated slope and intercept of the line. What do they mean in words? C. At the 0.05 level of significance, test the null hypothesis that the true population slope f is equal to 0. What do you conclude? d. Suppose that you randomly elect a new child from the population of low birth weight infants with gestational age 31 weeks. What is the predicted systolic blood pressure for this child? e. Does the least-squares regression model seem to fit the observed data? Comment on the coefficients of determination. Also perform residual analysis to check the regression assumptions