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.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the cubic regression model above to answer this question.

Predict the percentage of female high school graduates in 2019.  Round to the nearest tenth (1 decimal place).

             %

 

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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
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.
Use this cubic regression model to answer questions 5-6 below.
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. Use this cubic regression model to answer questions 5-6 below.
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