Use the cubic regression model above to answer this question. Predict the percentage of female high school graduates in 2035. Round to the nearest tenth (1 decimal place). _________% Predict instantaneous rate of change of the percentage of female high school graduates in 2014. Round to the nearest hundredth (2 decimal places). ____________% per year

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use the cubic regression model above to answer this question.

Predict the percentage of female high school graduates in 2035. Round to the nearest tenth (1 decimal place). _________%


Predict instantaneous rate of change of the percentage of female high school graduates in 2014. Round to the nearest hundredth (2 decimal places).
____________% per year

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.
See the Regression page in the Getting Started module for details on creating a regression
model.
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.
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. See the Regression page in the Getting Started module for details on creating a regression model. 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.
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