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 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) = = ax + bx + 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
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Chapter2: Second-order Linear Odes
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College Enrollment
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 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) = ax + 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.
F3
F5
F6
PrtS
F7
F8
F9
F10
F11
F12
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4.
6.
8.
9.
R
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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 College Enrollment Percentages for Females 1970 25.5 1980 30.3 1990 38.3 2000 45.6 2010 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) = ax + 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. F3 F5 F6 PrtS F7 F8 F9 F10 F11 F12 & 4. 6. 8. 9. R T. Y
Use the model to predict instantaneous rate of change of the percentage of female high school
graduates in 2016. Round to the nearest hundredth (2 decimal places).
% per year
NOTE: Your answer may be negative.
PrtS
F3
F4
F5
F6
F8
F9
F10
F11
F12
23
&
*
6.
8.
Y
K
B
Alt
Ctrl
ンの
* 00
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Transcribed Image Text:Use the model to predict instantaneous rate of change of the percentage of female high school graduates in 2016. Round to the nearest hundredth (2 decimal places). % per year NOTE: Your answer may be negative. PrtS F3 F4 F5 F6 F8 F9 F10 F11 F12 23 & * 6. 8. Y K B Alt Ctrl ンの * 00 ト
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