a. Explain why an exponential function was used to model the population data. A. An exponential function was used because exponential functions are always more accurate than linear functions. B. An exponential function was used because population is always modeled using exponential functions. C. An exponential function was used because the data in the bar graph is increasing more and more rapidly. D. An exponential function was used because there are too many data points to use a linear function. b. Use the graphing calculator screen to express the model in function notation, with numbers rounded to three decimal places. f(x) =O

a. Explain why an exponential function was used to model the population data. A. An exponential function was used because exponential functions are always more accurate than linear functions. B. An exponential function was used because population is always modeled using exponential functions. C. An exponential function was used because the data in the bar graph is increasing more and more rapidly. D. An exponential function was used because there are too many data points to use a linear function. b. Use the graphing calculator screen to express the model in function notation, with numbers rounded to three decimal places. f(x) =O

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

100%

A survey approximates the number of Americans that are age 65 and older and projects that by the year 2050, approximately 82.3 million Americans will be at least
65. The bar graph shows the estimated number of Americans with projected figures for the year 2020 and beyond.
in millions,
A graphing calculator screen displays an exponential function that models the U.S. population age 65 and over,
x years after 1899. Use this information to solve (a)-(d) below.
ExpReg
y = a-b^x
a = 3.5086444296
b = 1.022905603
W Click the icon to view the bar graph.
a. Explain why an exponential function was used to model the population data.
O A. An exponential function was used because exponential functions are always more accurate than linear functions.
O B. An exponential function was used because population is always modeled using exponential functions.
C. An exponential function was used because the data in the bar graph is increasing more and more rapidly.
O D. An exponential function was used because there are too many data points to use a linear function.
b. Use the graphing calculator screen to express the model in function notation, with numbers rounded to three decimal places.
f(x) =D
Graph/Chart
100-
82.3
80-
77.2
71.6
60-
53.6
44.5
40-
35.6
31.4
25.1
20.5
20-
16.8
12.5
8.9
4.4
4,8 6.3
1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010 2020 2030 2040 2050
Print
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1.