Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

15th Edition

ISBN: 9781323047620

Author: Barnett, Ziegler, Byleen

Publisher: Pearson Education

See similar textbooks

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 p…

Videos

Textbook Question

Chapter 1.5, Problem 61E

In all problems involving days, a 365-day year is assumed.

61. Internet users. Table 4 shows the number of individuals worldwide who could access the internet from home for selected years since 2000.

(A) Let x represent the number of years since 2000 and find an exponential regression model (y = ab^x) for the number of internet users.
(B) Use the model to estimate the number of internet users in 2024.

Table 4 Internet Users (billions)

Year	Users
2000	0.41
2004	0.91
2008	1.58
2012	2.02
2016	3.42

Source: Internet Stats Live

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 1.5, Problem 60E

Chapter 1.5, Problem 62E

Students have asked these similar questions

Question is in the photo attached.

A graphing calculator is recommended. The table gives the population of the United States, in millions, for the years 1900-2010. Year Population Year Population 1900 74 1960 171 1910 98 1970 205 1920 106 1980 227 1930 128 1990 251 1940 132 2000 286 1950 157 2010 312 Use a graphing calculator (or computer) with exponential regression capability to model the US population (in millions) since 1900. (Let t represent the number of years since 1900. Round your coefficients to five decimal places.) ;.Ikj (5) P = 74(1.32432) Use the model to estimate the population (in millions of people) in 1925. (Round your answer to the nearest whole number.) million people Predict the population (in millions of people) in the year 2020. (Round your answer to the nearest whole number.) million people

1.2. In order to prepare the dataset for modelling, it became clear that RATIO repeats with similar values. The analyst decided to regard them also as categorical variables. Amend the dataset fully in order to build a regression model. Use an ascending order in the coding structure. 1.3. Show the new amended data set and formulate the regression model that must be estimated. Apply all the changes done to the dataset in Question 1.2 and give the regression function. 1.4. The estimated response function is obtained using the coding structure of Question 1.2. Ŷ = 1.34 + 0.034X₁ + 0.049 X₂ -0.041 X3 + 0.029X4 +0.011 X5 +0.08X6. Explain the regression coefficients b₁, b, and b. 1.5. Find the fitted response function for the rotational METHOD of farming on a farm with RATIO of 0.8. 1.6. Refer to Question 1.5. The analyst has a suspicion that there is interaction between the size and the age of the farm if the method of farming is rotational and the field/land ratio is 0.8. Give the response…

Chapter 1 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

Ch. 1.1 - Matched Problem 1 Sketch the graph of each...Ch. 1.1 - Matched Problem 2 Determine which of the following...Ch. 1.1 - Matched Problem 3 Find the domain of the function...Ch. 1.1 - Matched Problem 4 Use the functions in Example 4...Ch. 1.1 - Matched Problem 5 Find the domains of functions F,...Ch. 1.1 - Matched Problem 6 Repeat Example 6 for f(x) = x2 ...Ch. 1.1 - Matched Problem 7 The financial department in...Ch. 1.1 - To graph the equation y = x3 + 3x, we use...Ch. 1.1 - Prob. 2ED Ch. 1.1 - In Problems 18, use point-by-point plotting to...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

Solution Summary: The author explains the exponential regression model for the number of internet users in 2024, which is y=0.4832958514(1.134278922)x.

Concept explainers

Videos

Want to see the full answer?

Chapter 1 Solutions