9. Cell Phones The following table shows the num- ber, in millions, of cell phone subscribers in the United States at the end of the given year. Year Subscribers (millions) 2010 296.3 2011 316.0 2012 326.5 2013 335.6 2014 355.4 a. Plot the data points. b. Use exponential regression to construct an expo- nential model for the subscriber data. c. Add the graph of the exponential model to the plot in part a. d. What was the yearly percentage growth rate from the end of 2010 through the end of 2014 for cell phone subscribership? e. In 2014, an executive had a plan that could make money for the company, provided that there would be at least 380 million cell phone subscribers by the end of 2016. Solely on the basis of an exponen- tial model for the data in the table, would it be rea- sonable for the executive to implement the plan?

9. Cell Phones The following table shows the num- ber, in millions, of cell phone subscribers in the United States at the end of the given year. Year Subscribers (millions) 2010 296.3 2011 316.0 2012 326.5 2013 335.6 2014 355.4 a. Plot the data points. b. Use exponential regression to construct an expo- nential model for the subscriber data. c. Add the graph of the exponential model to the plot in part a. d. What was the yearly percentage growth rate from the end of 2010 through the end of 2014 for cell phone subscribership? e. In 2014, an executive had a plan that could make money for the company, provided that there would be at least 380 million cell phone subscribers by the end of 2016. Solely on the basis of an exponen- tial model for the data in the table, would it be rea- sonable for the executive to implement the plan?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: The number of new products containing an artificial sweetener are shown in the table to the right…

A: year Number of new products 1980 407 1981 193 1982 87 1983 46 1984 20 a) The scatter…

Q: The number of Facebook users for each year from 2004 to 2016 can be found in the table below. Round…

A: Logistic Regression: Enter the data in Desmos online calculator: Output: Therefore, the logistic…

Q: The following table shows the values of the age and the job satisfaction of ice cream shop employees…

Q: A casino is interested in the relationship between the amount of alcohol people buy and the amount…

A: From the provided information, The regression line is y = 50.87x + 7.78 Here x = Ounces purchased…

Q: In retail, a store manager uses time series models to understand shopping trends. Review the…

A: The time series data is,Fiscal…

Q: n a simple linear regression model, the slope term is the change in the mean value of y associated…

A: b. a variable change

Q: The personnel director of a large hospital is interested in determining the relationship (if any)…

A: The estimated regression equation is and the standard error is 1.682207.

Q: The accompanying data are from a football league for one season. a. Construct a scatter diagram for…

A: The dependent variable is Points/Game.The independent variable is Yards/Game.This is Simple linear…

Q: B4. A company has collected and smoothened its historical yearly sales data of a product from 2015…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use the following data to perform a regression analysis. What is the regression equation? Is it…

A: Regression is method of analysis that used to predict the value over a period of time. It used to…

Q: A casino is interested in the relationship between the amount of alcohol people buy and the amount…

Q: Because data analzyed is a regression equation are rarely from a ____, regression is subject to the…

A: The correct answer is (b) true experiment. Regression analysis is a statistical technique that is…

Q: The number of Facebook users for each year from 2004 to 2016 can be found in the table below. Round…

Q: The difference between a linear regression and a correlation is largely philosophical. Linear…

A: Option A : The global mean temperature has gone up while the global pirate population has gone…

Q: A study about workplace bullying used multiple regression to model a bullying victim's intention to…

A: Multiple linear regression model: A multiple linear regression model is given as y = b0 + b1x1 +…

Q: The value of a sports franchise is directly related to the amount of revenue that a franchise can…

A: a) Scatter plot: Steps to construct scatter plot in Excel: Enter the data for Annual Revenue and…

Q: t sales 1 324 23 2 245 256 4 567 5 346 16 357 7 357 68 257 9 1678 What is the regression trend…

A: Sales = 33.77 + (90.73*t) Explanation:I will use Excel for run a regression analysis, here are the…

Q: Month Average Temp (¡F) Power Bill ($) Oct 18 64 $68.12 Nov '18 48 $90.68 Dec 18 45 $134.59 Jan 19…

A: The independent variable is Average Temperature. The dependent variable is Power bill. The given…

Q: Use the line graph to answer the following questions. A. Identify the percentage of baby boomers who…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: Less than 1-2 3-4 5-9 10-14 15 or More Row 1 Year Years Years Years 112 Years 77 Years 118 Total 452…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: Given the following sales data, if there is no trend in the data a. What are the average seasonality…

A: Given the sales data as Year Quarter Sales 1 1 20 2 25 3 35 4 44

Q: The personnel director of a large hospital is interested in determining the relationship (if any)…

A: The regression model is the method of predicting the dependent variable with the known value of the…

Q: Prices and square feet of 42 Destin Florida homes from Zillow.com. Prices ranged from $223,017 to…

A: Given, Price(y) Sqrt(X) 600000 2767 545000 2731 314900 2051 419000 2084 365000 2270…

Q: For the following data of sales data. Use exponential smoothing to forecast sales in the next week.…

A: The lower provided information is as follows:The actual value is given as WeekSales on Air…

Q: Sun spot activity goes in an eleven-year cycle. The last cycle started in 2008 and ended in 2018.…

A: According to the data we have,

Q: Month Price Jan 2020 $42.28 Mar 2020 $39.49 July 2020 $37.98 Aug 2020 $39.09 Sept 2020 $40.30 Nov…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The following chart shows the actual sales for the last 12 months for a given company. Assume that…

A: The question related to linear regression analysis.The given bar chart shows the actual sales for…

Q: The following table shows the past two years of quarterly sales information. Assume that there are…

A: Given the past two years of quarterly sales information:QUARTERSALES12202232320141935163619471558136

Question

9. Cell Phones The following table shows the num-
ber, in millions, of cell phone subscribers in the
United States at the end of the given year.
Year
Subscribers (millions)
2010
296.3
2011
316.0
2012
326.5
2013
335.6
2014
355.4
a. Plot the data points.
b. Use exponential regression to construct an expo-
nential model for the subscriber data.
c. Add the graph of the exponential model to the
plot in part a.
d. What was the yearly percentage growth rate
from the end of 2010 through the end of 2014 for
cell phone subscribership?
e. In 2014, an executive had a plan that could make
money for the company, provided that there would
be at least 380 million cell phone subscribers by
the end of 2016. Solely on the basis of an exponen-
tial model for the data in the table, would it be rea-
sonable for the executive to implement the plan?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Time Series Analyses, Forecasting Methods, and Indices$

Learn more about

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

Similar questions

The following table shows the percentage of people 25 years and older who have completed four or more years of college. Use the line of best fit (regression line) to predict when (what year) the percentage will reach 49%. Round the slope and y-intercept to four decimal places, if necessary. Year 1985 1990 1995 2000 2005 2010 Percentage 19.4 21.3 23.0 25.6 27.6 29.9
Cryptocurrencies have rapidly become an important alternative to traditional currencies for many types of transactions. Etherium, one of the most prominent cryptocurrencies, has rapidly appreciated in value. Daily Etherium trading information for the first 332 days of 2021. It includes the following variables: Date Day – Day of the year, used to assess trend over time Volume (US $) – Daily trading volume Opening Price (US $) – Opening price for daily trading Price Change (US $) – Daily change in price from opening to close 1. Determine the sample correlation coefficient, r, between Volume and Price Change. Test the alternative hypothesis that Volume has a linear relationship to Price Change. Specifically, what are the test statistic and the p-value for that test statistic? For α = .05, what do you conclude about the relationship between the variables? (reminder: the T.DIST.2T function requires input of a positive test statistic)
For the data below, what is the value of "b" for the regression equation? Family Father Son 120 121 110 105 120 125 92 87 85 92 72 90 107 110 115 122 155 133 90 123
Use the border crossings data below and a = = 0.3 and ẞ = 0.2. Truck Crossings Month February 113,691 March 139,204 April 121,498 May 127,511 June 131,500 July 105,245 August 126,606 Copy Data Step 2 of 2: Calculate the adjusted exponential smoothing forecast for September 2011. Assume the forecast component for February 2011 to be the actual truck crossing value minus the initial trend. Let the initial trend be 10,000 trucks. Round your answer to two decimal places.
The personnel director of a large hospital is interested in determining the relationship (if any) between an employee’s age and the number of sick days the employee takes per year. The director randomly selects ten employees and records their age and the number of sick days which they took in the previous year. Employee 1 2 3 4 5 6 7 8 9 10 Age 30 50 40 55 30 28 60 25 30 45 Sick Days 7 4 3 2 9 10 0 8 5 2 Copy Data The estimated regression line and the standard error are given. Sick Days=14.310162−0.2369(Age) se=1.682207se=1.682207 Find the 95% confidence interval for the average number of sick days an employee will take per year, given the employee is 26. Round your answer to two decimal places.
Multiple Choice Question If you were given the data and scatterplot below, which model would be the best fit for this data? (Gross Federal Government Debt Graph attached) A. Linear Model B. Exponential Model C. You cannt tell from the information given
A. run a simple regression- dependent variable is Weeks, independent variable is Age. B. run a multiple regression with dependent variable weeks and independent variable-age, married, head, manager and sales. C. Create the regular and standardized residual plots for both. Please show the tables when entering values of the regression for both the outputs and the scatter plots.
I'm running out of questions. Can I pay for 30 more extra?
Desmos | Graphing Calc Year Time (seconds) 1912 82.2 1924 72.4 1932 66.8 1952 66.8 1960 61.2 1968 60.0 1976 55.65 1984 55.92 1992 54.64 2000 53.8 2008 53.1 a. Decide which variable should be the independent variable and which should be the dependent variable. b. Draw a scatter plot of the data. C. Does it appear from inspection that there is a relationship between the variables? Why or why not? d. Find the equation in the form of: y= a + bx. e. Find the correlation coefficient. f. Find the estimated gold medal time for 1932. Find the estimated time for 1984. g. Why are the answers from part f different from the chart values? h. Does it appear that a line is the best way to fit the data? Why or why not? i. Use the least-squares line to estimate the gold medal time for the next Summer Olympics (Assuming they would be in 2020). Do you think that your answer is reasonable? Why or why not? Note that the fastest speed time in recorded history as of 2020 was 51.22 seconds for the 100 meter…
None
Using the attached information, answer the following: 1. Fill in the blank: For these data, mileages that are greater than the mean of the mileages tend to be paired with used selling prices that are _____ the mean of the used selling prices. Choose one greater than less than 2. According to the regression equation, for an increase of one thousand miles in Cadet mileage, there is a corresponding decrease of how many thousand dollars in the used selling price? 3. What was the observed used selling price (in thousands of dollars) when the mileage was 37.7 thousand miles? 4. From the regression equation, what is the predicted used selling price (in thousands of dollars) when the mileage is 37.7 thousand miles? (Round your answer to at least one decimal place.)
the table shows the percent of households with internet access for selected years from 2009 and projected through 2015. Year Percent of households 2009 67 2010 70 2011 72.5 2012 75 2013 76.5 2014 77.2 2015 78 Use the model to predict the percent of households with internet access in 2022.