31. Table 4.3 shows the population of Pennsylvania in each 10-year census between 1830 and 1950. Table 4.3 Population of Pennsylvania Population in Years since 1820 thousands 10 1348 20 1724 30 2312 40 2906 50 3522 60 4283 70 5258 80 6302 90 7665 100 8720 10 9631 120 9900 130 10,498 Source: Bureau of the Census, uS. Chamber of Cammerce. (a) Find the logistic regression for the data. (b) Graph the data in a scatter plot and superimpose the regres- sion curve. (c) Use the regression equation to predict the Pennsylvania popu- lation in the 2000 census. (d) In what year was the Pennsylvania population growing the fastest? What significant behavior does the graph of the regres- sion equation exhibit at that point? (e) What does the regression equation indicate about the popula- tion of Pennsylvania in the long run?

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31. Table 4.3 shows the population of Pennsylvania in each 10-year
census between 1830 and 1950.
Table 4.3 Population of Pennsylvania
Population in
Years since 1820
thousands
10
1348
20
1724
30
2312
40
2906
50
3522
60
4283
70
5258
80
6302
90
7665
100
8720
10
9631
120
9900
130
10,498
Source: Bureau of the Census, uS. Chamber of Cammerce.
(a) Find the logistic regression for the data.
(b) Graph the data in a scatter plot and superimpose the regres-
sion curve.
(c) Use the regression equation to predict the Pennsylvania popu-
lation in the 2000 census.
(d) In what year was the Pennsylvania population growing the
fastest? What significant behavior does the graph of the regres-
sion equation exhibit at that point?
(e) What does the regression equation indicate about the popula-
tion of Pennsylvania in the long run?
Transcribed Image Text:31. Table 4.3 shows the population of Pennsylvania in each 10-year census between 1830 and 1950. Table 4.3 Population of Pennsylvania Population in Years since 1820 thousands 10 1348 20 1724 30 2312 40 2906 50 3522 60 4283 70 5258 80 6302 90 7665 100 8720 10 9631 120 9900 130 10,498 Source: Bureau of the Census, uS. Chamber of Cammerce. (a) Find the logistic regression for the data. (b) Graph the data in a scatter plot and superimpose the regres- sion curve. (c) Use the regression equation to predict the Pennsylvania popu- lation in the 2000 census. (d) In what year was the Pennsylvania population growing the fastest? What significant behavior does the graph of the regres- sion equation exhibit at that point? (e) What does the regression equation indicate about the popula- tion of Pennsylvania in the long run?
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