Consider the given data for the percent of participation of the 18-24-year-old group, y, as a function of years after 1964, x as below:yearxy1964051.01968450.01972849.019761242.019801640.019842042.019882436.019922844.019963232.020003632.020044043.020084445.020124838.0Interpret the model describing what the slope and y-intercept mean in this situation, if anything.Find the participation level for 2020, that is, what the model predicts for x = 56.

Name: Consider the given data for the percent of participation of the 18-24-
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Description: Consider the given data for the percent of participation of the 18-24-year-old group, y, as a function of years after 1964, x as below:yearxy1964051.01968450.01972849.019761242.019801640.019842042.019882436.019922844.019963232.020003632.020044043.020

Given: The percent of participation of the 18-24-year-old group, y, as a function of years after 1964, x as below: year x y 1964 0 51.0 1968 4 50.0 1972 8 49.0 1976 12 42.0 1980 16 40.0 1984 20 42.0 1988 24 36.0 1992 28 44.0 1996 32 32.0 2000 36 32.0 2004 40 43.0 2008 44 45.0 2012 48 38.01) The slope and y-intercept is calculated as below, X1 = 0, y1 = 51.0 X2 = 4, y2 = 50 The slope is calculated as,The equation as follows,2) The value is calculated as below,

Answered: Consider the given data for the percent…

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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Consider the given data for the percent of participation of the 18-24-year-old group, y, as a function of years after 1964, x as below:

year	x	y
1964	0	51.0
1968	4	50.0
1972	8	49.0
1976	12	42.0
1980	16	40.0
1984	20	42.0
1988	24	36.0
1992	28	44.0
1996	32	32.0
2000	36	32.0
2004	40	43.0
2008	44	45.0
2012	48	38.0

Interpret the model describing what the slope and y-intercept mean in this situation, if anything.
Find the participation level for 2020, that is, what the model predicts for x = 56.

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