The population of a certain country from 1970 through 2010 is shown in the table x, Number of Years co the right. a. Use your graphing utility's exponential regression option to obtain a model of y, Population (millions) 208.7 after 1969 1 (1970) 11 (1980) 21 (1990) 31 (2000) 41 (2010) 240.5 the form y = ab* that fits the data. How well does the correlation coefficient, r, indicate that the model fits the data? b. Rewrite the model in terms of base e. By what percentage is the population increasing each year? 255.7 271.9 315.4 The model of the form y = ab* that fits the data is y = (Type integers or decimals rounded to three decimal places as needed.) How well does the model fit the data? Since the correlation coefficient is r ||, the model fits the data (Round to three decimal places as needed.) b. The model obtained in the previous step in terms of base e is y =e. (Type integers or decimals rounded to three decimal places as needed.) The population is increasing by approximately % each year. (Round to one decimal place as needed.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 3TU
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The population of a certain country from 1970 through 2010 is shown in the table x, Number of Years
to the right.
a. Use your graphing utility's exponential regression option to obtain a model of
y, Population
(millions)
208.7
240.5
after 1969
the form y = ab* that fits the data. How well does the correlation coefficient, r,
indicate that the model fits the data?
b. Rewrite the model in terms of base e. By what percentage is the population
increasing each year?
1 (1970)
11 (1980)
21 (1990)
31 (2000)
41 (2010)
255.7
271.9
315.4
The model of the form y = ab that fits the data is y = || D^-
(Type integers or decimals rounded to three decimal places as needed.)
How well does the model fit the data?
Since the correlation coefficient is r , the model fits the data
(Round to three decimal places as needed.)
b. The model obtained in the previous step in terms of base e is y =e.
(Type integers or decimals rounded to three decimal places as needed.)
The population is increasing by approximately % each year.
(Round to one decimal place as needed.)
Enter your answer in each of the answer boxes.
Transcribed Image Text:The population of a certain country from 1970 through 2010 is shown in the table x, Number of Years to the right. a. Use your graphing utility's exponential regression option to obtain a model of y, Population (millions) 208.7 240.5 after 1969 the form y = ab* that fits the data. How well does the correlation coefficient, r, indicate that the model fits the data? b. Rewrite the model in terms of base e. By what percentage is the population increasing each year? 1 (1970) 11 (1980) 21 (1990) 31 (2000) 41 (2010) 255.7 271.9 315.4 The model of the form y = ab that fits the data is y = || D^- (Type integers or decimals rounded to three decimal places as needed.) How well does the model fit the data? Since the correlation coefficient is r , the model fits the data (Round to three decimal places as needed.) b. The model obtained in the previous step in terms of base e is y =e. (Type integers or decimals rounded to three decimal places as needed.) The population is increasing by approximately % each year. (Round to one decimal place as needed.) Enter your answer in each of the answer boxes.
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