For Exercises 37–51, do the following for the indicated data sets from the Section 4.1 exercises:

  1. Calculate the slope and the intercept of the regression line.
  2. State the regression equation in words.
  3. Interpret the value for the slope of the regression line, in terms of the variables from the particular exercise.
  4. Interpret the value for the intercept of the regression line, in terms of the variables from the particular exercise.

Question 4.145

teenbirth

47. Teenage Birth Rate.

  1. The National Center for Health Statistics publishes data on state birth rates. The table contains the overall birth rate and the teenage birth rate for eight randomly chosen states. The overall birth rate is defined by the NCHS as “live births per 1000 women,” and the teenage birth rate is defined as “live births per 1000 women aged 15−19.”
State
California 62.0 23.6
Florida 59.3 24.6
Georgia 61.6 30.5
New York 58.8 17.7
Ohio 62.7 27.2
Pennsylvania 58.4 20.9
Texas 69.9 41.0
Virginia 60.9 20.1

4.2.47

(a) (b) The predicted teenage birth rate of a state is 1.83 times the overall birth rate of the state minus 87.2 live births per 1000 women aged 15-19. (c) For each increase of 1 live birth per 1000 women the predicted teenage birth rate increases by 1.83 live births per 1000 women aged 15-19. (d) The predicted teenage birth rate for a state with an overall birth rate of live births per 1000 women is 287.2 live births per 1000 women aged 15-19.