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.

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.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Use the cubic regression model above to answer this question.

Predict instantaneous rate of change of the percentage of female high school graduates in 2034. Round to the nearest hundredth (2 decimal places).

% per year

NOTE: Your answer may be negative.

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.

Use the cubic regression model above to answer this question.
Predict instantaneous rate of change of the percentage of female high school graduates in
2034. Round to the nearest hundredth (2 decimal places).
% per year
NOTE: Your answer may be negative.

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