The following list gives the gross federal debt(in millions of dollars) for the U.S. every 5 years from 1945 to 2000:   Year    Gross Federal Debt ($millions) 1945    260,123 1950    256,853 1955    274,366 1960    290,525 1965    322,318 1970    380,921 1975    541,925 1980    909,050 1985    1,817,521 1990    3,206,564 1995    4,921,005 2000    5,686,338 Construct a scatter plot with this data. Do you observe a trend? If so, what type of trend do you observe? Use Excel to fit a linear trend and an exponential trend to the data. Display the models and their respective r^2. Interpret both models. Which model seems to be more approprate and why?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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  • The following list gives the gross federal debt(in millions of dollars) for the U.S. every 5 years from 1945 to 2000:

 

Year    Gross Federal Debt ($millions)

1945    260,123

1950    256,853

1955    274,366

1960    290,525

1965    322,318

1970    380,921

1975    541,925

1980    909,050

1985    1,817,521

1990    3,206,564

1995    4,921,005

2000    5,686,338

  • Construct a scatter plot with this data. Do you observe a trend? If so, what type of trend do you observe?
  • Use Excel to fit a linear trend and an exponential trend to the data. Display the models and their respective r^2.
  • Interpret both models. Which model seems to be more approprate and why?
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