The scatter diagram represents the percentage of the population with a bachelor's degree, x, and teen birthrates (births per 1000 15- to 19-year-olds), y, for the 50 states and Washington, DC, in 2013.

(a) The least-squares regression with Washington, DC, included is ŷ = -0.8276 x + 55.7856. The least-squares regression line with Washington, DC, excluded is ŷ = -1.5470 x + 75.8860. Do you think the point corresponding to Washington, DC, may be influential? Why?
(b) Washington, DC, often appears as an influential observation in regression analysis. What is it about Washington, DC, that makes it influential?
(c) Would you say that higher levels of education cause lower teen birthrates?

Transcribed Image Text:

Teen Birth Rate vs. Percent of State With at Least a Bachelor's Degree Teen BirthRate 50f 40 30 20 20 30 40 Bachelors % 50