The following data represent the percentage of the U.S. population whose age is x who do not have a high school diploma as of March 2005.

Age, a ………………………. Percentage without a High School Diploma, P

30………………………………………………………………….. 13.3

40 ………………………………………………………………….. 11.6

50 ………………………………………………………………….. 10.9

60 ………………………………………………………………….. 13.7

 70 …………………………………………………………………. 22.3

80 ………………………………………………………………….. 30.2

(a) Using a graphing utility, draw a scatter diagram of the data treating age as the independent variable.What type of relation appears to exist between age and percentage of the population without a high school diploma?

(b) Based on your response to part (a), find either a linear or quadratic model that describes the relation between age and percentage of the population that do not have a high school diploma.

(c) Use your model to predict the percentage of 35-yearolds that do not have a high school diploma.