Year Population 1790 3,929,214 1800 5,308,483 1810 7,239,881 1820 9,638,453 1830 12,866,020 1840 17,069,453 1850 23,191,876 1860 31,443,321 1870 39,818,449 1880 50,155,783 1890 62,947,714 1900 75,994,575 1910 91,972,266 1920 105,710,620 1930 122,775,046 1940 131,669,275 1950 150,697,361 1960 179,323,175 1970 203,302,031 1980 226,545,805 1990 248,709,873 2000 281,421,906 2010 308,745,538 What is the equation of the Least Squares Regression Line for the census data? (need to include correct values for a and b) Using the line, you calculated in number 5, what would you predict the population to have been in 1985? EXPLAIN. Should you use the previously calculated Regression Line to predict population in the year 2200? EXPLAIN.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 54E: Conditional probability If 40 of the population have completed college, and 85 of college graduates...
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Question

Year

Population

1790

3,929,214

1800

5,308,483

1810

7,239,881

1820

9,638,453

1830

12,866,020

1840

17,069,453

1850

23,191,876

1860

31,443,321

1870

39,818,449

1880

50,155,783

1890

62,947,714

1900

75,994,575

1910

91,972,266

1920

105,710,620

1930

122,775,046

1940

131,669,275

1950

150,697,361

1960

179,323,175

1970

203,302,031

1980

226,545,805

1990

248,709,873

2000

281,421,906

2010

308,745,538

  • What is the equation of the Least Squares Regression Line for the census data? (need to include correct values for a and b)
  • Using the line, you calculated in number 5, what would you predict the population to have been in 1985? EXPLAIN.
  • Should you use the previously calculated Regression Line to predict population in the year 2200? EXPLAIN.

 

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