Table 13.24 shows the male and female populations of the United States during the years 1940 through…

Table 13.24 shows the male and female populations of the United States during the years 1940 through 2005 in millions. It also shows the years coded and the differences which equals male minus female.

(a) Graph the data points and the linear least-squares best fit.

(b) Graph the data points and the quadratic least-squares best fit.

(c) Graph the data points and the cubic least-squares best fit.

(d) Give the fitted values and the residuals using each of the three models. Give the sum of squares for residuals for all three models.

(e) Use each of the three models to predict the difference in 2010.

Year

1940

1950

1960

1970

1980

1990

2000

2005

Coded

0

1

2

3

4

5

6

6.5

Male

66.1

75.2

88.3

98.9

110.1

121.2

138.1

146.0

Female

65.6

76.1

91.0

104.3

116.5

127.5

143.4

150.4

Difference

0.5

-0.9

-2.7

-5.4

-6.4

-6.3

-5.3

-4.4

 

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