The percentage of female high school graduates who enrolled in college is given in the table below.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Section5.6: Higher-degree Polynomials And Rational Functions
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The percentage of female high school graduates who enrolled in college is given in the table below.
Year
College Enrollment Percentages for Females
1970
25.5
1980
30.3
1990
38.3
2000
45.6
2010
50.5
Let x 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) = ax' + bæ?
+ 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:The percentage of female high school graduates who enrolled in college is given in the table below. Year College Enrollment Percentages for Females 1970 25.5 1980 30.3 1990 38.3 2000 45.6 2010 50.5 Let x 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) = ax' + bæ? + 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 model to predict instantaneous rate of change of the percentage of female high school
graduates in 2013. Round to the nearest hundredth (2 decimal places).
% per year
Transcribed Image Text:Use the model to predict instantaneous rate of change of the percentage of female high school graduates in 2013. Round to the nearest hundredth (2 decimal places). % per year
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