The percentage of female high school graduates who enrolled in college is given in the table below. Year 1970 1980 1990 2000 2010 College Enrollment Percentages for Females 25.5 30.3 38.3 45.6 50.5 Let z represent time (in years) since 1970, and let y represent the corresponding percentage of female high school graduates who enrolled in college. Find the cubic regression model y = F(x) = ax³ + bx² + cx+d, where a is rounded to 6 decimal places, b is rounded to 4 decimal places, e is rounded to 3 decimal places, and d is rounded to 1 decimal place. Use this cubic regression model to answer questions 5-6 below.
The percentage of female high school graduates who enrolled in college is given in the table below. Year 1970 1980 1990 2000 2010 College Enrollment Percentages for Females 25.5 30.3 38.3 45.6 50.5 Let z represent time (in years) since 1970, and let y represent the corresponding percentage of female high school graduates who enrolled in college. Find the cubic regression model y = F(x) = ax³ + bx² + cx+d, where a is rounded to 6 decimal places, b is rounded to 4 decimal places, e is rounded to 3 decimal places, and d is rounded to 1 decimal place. Use this cubic regression model to answer questions 5-6 below.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 91E
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Question
Predict the percentage of female high school graduates in 2039. Round to the nearest tenth (1 decimal place).
%
Transcribed Image Text:Use the cubic regression model above to answer this question.
Predict the percentage of female high school graduates in 2039. Round to the nearest tenth
(1 decimal place).
%
Transcribed Image Text:College Enrollment
The percentage of female high school graduates who enrolled in college is given in the table
below.
Year
1970
1980
1990
2000
2010
College Enrollment Percentages for Females
25.5
30.3
38.3
45.6
50.5
Let a represent time (in years) since 1970, and let y represent the corresponding percentage
of female high school graduates who enrolled in college.
Find the cubic regression model
y = F(x) = ax³ + bx² +cx + d,
where a is rounded to 6 decimal places, b is rounded to 4 decimal places, c is rounded to 3
decimal places, and d is rounded to 1 decimal place.
Use this cubic regression model to answer questions 5-6 below.
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