The data set lowbwt contains information for a sample of 100 low birth weight infants born in two teaching hospitals in Boston. Measurements of systolic blood pressure are saved under the variable name sbp and values of gestational age under the name gestage.

a. Construct a two-way scatter plot of sbp vs. gestage. Does the graph suggest anything about the nature of the relationship between the variables?

Blood pressure increases as gestational age increases.

b. Using systolic blood pressure as the response and gestational age as the explanatory variable, compute the least-squares regression line. Interpret the estimated slope and y-intercept of the line; what do they mean in words?

Found on R

The slope is 1.26 for the gestational age. This means that the systolic blood pressure increases by 1.26 mmHg for each week of gestational age.

The y intercept is 10.55. This means that at gestational age 0, the systolic blood pressure would be 10.55.

c. At the 0.05 level of significance, test the null hypothesis that the true population slope is equal to 0. What do you conclude?

Found on R:

P value is 0.0046. At 0.05 level of significance you cannot accept the null hypothesis that the slope=0.

d. What is the estimated mean systolic blood pressure for the population of low birth weight infants whose gestational age is 31 weeks?

10.552+1.264*31=49.736

e. Construct a 95% confidence interval for this new value of systolic blood pressure.

f.Suppose that you randomly select 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?

10.552+1.264*31=49.736

g. Construct a 95% confidence interval for this new value of systolic blood pressure.

PLEASE HELP ME WITH PART E AND G. I CANNOT FIGURE OUT HOW TO GET SE(Y-HAT) OR SE(Y-TILDE).

THANK YOU.