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.
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.
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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![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
Find the cubic regression model
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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13cf9f64-8b82-4652-afe5-a808584b64b0%2F3bbb9117-1d9b-44b4-b2b6-c1db1b9d188d%2Fw54wexw_processed.png&w=3840&q=75)
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
Find the cubic regression model
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.
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 the cubic regression model above to answer this question.
Predict the percentage of female high school graduates in 2016. Round to the nearest tenth
(1 decimal place).
%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13cf9f64-8b82-4652-afe5-a808584b64b0%2F3bbb9117-1d9b-44b4-b2b6-c1db1b9d188d%2Fn5qon0p_processed.png&w=3840&q=75)
Transcribed Image Text:Use the cubic regression model above to answer this question.
Predict the percentage of female high school graduates in 2016. Round to the nearest tenth
(1 decimal place).
%
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