The following table summarizes U.S. Census data for the southern region of the United States ...

  

The following table summarizes U.S. Census data for the southern region of the United States for the census years 1900 through 1990.

  

t (years   after 1900)

0

10

20

30

40

50

60

70

80

90

 

P (millions)

24.52

29.39

33.13

37.86

41.67

47.20

54.97

62.81

75.37

85.45

1. Find the cubic model that best fits the 1900 through 1990 population data. The SSE for this model is

________million2 and its coefficient of determination (R2, rounded to three decimal places) is

________million. The cubic model predicts that the 1985 population of the southern region is

________million.

2. Find the quartic model that best fits the 1900 through 1990 population data. The SSE for this model is

________million2 and its coefficient of determination (R2, rounded to three decimal places) is

________. The quartic model predicts that the 1985 population of the southern region is

________million.