The output shows the results of a regression analysis to predict the father's education given the mother's education for a random sample of students at a two-year college. Assume that this sample is representative of the population of all students at this two-year college.
a. A friend says she thinks love is blind and people don't pay any attention to the education level of potential partners. If this were true for parents of students at the two-year college, what value would the slope of the regression line have?
b. Report a 95% confidence interval for the slope. What does this say about the friend's theory?