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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
  1. Interpret the model describing what the slope and y-intercept mean in this situation, if anything.

  2. Find the participation level for 2020, that is, what the model predicts for x = 56. 

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