The table below shows the percentage of male and female high school graduates who enrolled in college within 12 months of graduation.† Year 1960 1965 1970 1975 Males 54% 57.3% 55.2% 52.6% Females 37.9% 45.3% 48.5% 49% (a) Find the equation of the regression line for percentage of male high school graduates entering college as a function of time. (Let x be the number of years since 1960 and y the percentage out of 100. Round parameters to two decimal places.) y = (b) Find the equation of the regression line for percentage of female high school graduates entering college as a function of time. (Let x be the number of years since 1960 and y the percentage out of 100. Round parameters to two decimal places.) y = (c) Assume that the regression lines you found in part (a) and part (b) represent trends in the data. If the trends persisted, in what year would you expect first to have seen the same percentage of female and male graduates entering college? (You may be interested to know that this actually occurred for the first time in 1980. The percentages fluctuated but remained very close during the 1980s and 1990s. In the 2000s, more female graduates entered college than did males. In 2008, for example, the rate for males was 66% compared with 72% for females.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.CR: Chapter Review Exercises

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The table below shows the percentage of male and female high school graduates who enrolled in college within 12 months of graduation.†

Year	1960	1965	1970	1975
Males	54%	57.3%	55.2%	52.6%
Females	37.9%	45.3%	48.5%	49%

(a) Find the equation of the regression line for percentage of male high school graduates entering college as a function of time. (Let x be the number of years since 1960 and y the percentage out of 100. Round parameters to two decimal places.)
y =

(b) Find the equation of the regression line for percentage of female high school graduates entering college as a function of time. (Let x be the number of years since 1960 and y the percentage out of 100. Round parameters to two decimal places.)
y =

(c) Assume that the regression lines you found in part (a) and part (b) represent trends in the data. If the trends persisted, in what year would you expect first to have seen the same percentage of female and male graduates entering college? (You may be interested to know that this actually occurred for the first time in 1980. The percentages fluctuated but remained very close during the 1980s and 1990s. In the 2000s, more female graduates entered college than did males. In 2008, for example, the rate for males was 66% compared with 72% for females.)

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