Reference no: EM132845943

1. 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 in the variable sbp, and values of the Apgar score recorded five minutes after birth (an index of neonatal asphyxia or oxygen deprivation) are in the variable apgar5.

a. Make a two-way scatter plot for these data.

b. Does Apgar score tend to increase or decrease as systolic blood pressure increases?

c. Estimate the correlation between systolic blood pressure and five-minute Apgar score for this population of low birth weight infants. What can you say about the strength of the relationship?

d. Test the hypothesis that the population correlation coefficient is zero (Ho: ρ = 0) against a two-sided alternative. Under the null hypothesis, the test statistic ( Please solve with out skipping the questions) follows a t distribution with n-2 degrees of freedom. What do you conclude?

2. When asked to state the simple linear regression model, a student wrote it as follows:

u(y/x) = a+bx+e

Explain why this is incorrect, and write down the correct model. Clearly state all assumptions of this model.