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.
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.
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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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.
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:Question 5
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).
%
Question 6
Use the cubic regression model above to answer this question.
Predict instantaneous rate of change of the percentage of female high school
graduates in 2024. Round to the nearest hundredth (2 decimal places).
% per year
NOTE: Your answer may be negative.
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