The table below shows the number of live births per 1000 population...

The table below shows the number of live births per 1000 population in the United States, starting in 1965.

Year | 1965 | 1970 | 1975 | 1980 | 1985 | 1990 | 1995 | 2000 | 2005 | 2010 | 2015

Rate | 19.4 | 18.40|14.80 | 15.90| 15.60| 16.40 | 14.80| 14.40| 14.00 | 13.00| 12.40

a) make a scatterplot and describe the general trend in birthrates.

b) find the equation of the regression line.

c) check to see if the line is an appropriate model. explain.

d) interpret the slope of the line

e) the table gives rate only at intervals. estimate what the rate was in 1978.

f) in 1978, the birthrate was actually 15.0. how close did your model come?

g) the birthrate in 2020 was not yet available when this was written. predict the birthrate in 2020 from your model. coment on your faith in this predication.

h) predict the birthrate for 2050. comment on your faith in this predication