In the last half of the twentieth century, the U.S. population grew more diverse both racially and ethnically, with persons of Hispanic origin representing one of the fastest-growing segments. The table gives the percent of the U.S. civilian non-institutional population of Hispanic origin for selected years from 1980 and projected to 2050.

(a) Find the linear regression line for these data. Use x as the number of years after 1980 and report the model with 3 significant digits.

(b) How well does the regression line fit the data?

(c) Using the reported linear regression equation, predict the percent of the U.S. civilian non-institutional population of Hispanic origin in 2025.

Year . . . . . . . . . . . . . . . . . Percent
1980 . . . . . . . . . . . . . . . . . 5.7
1990 . . . . . . . . . . . . . . . . . 8.4
2000 . . . . . . . . . . . . . . . . . 10.7
2010 . . . . . . . . . . . . . . . . . 13.0
2015 . . . . . . . . . . . . . . . . . 14.1
2020 . . . . . . . . . . . . . . . . . 15.3
2030 . . . . . . . . . . . . . . . . . 17.8
2040 . . . . . . . . . . . . . . . . . 20.3
2050 . . . . . . . . . . . . . . . . . 22.8