The table to right gives the projections of the population of a country from 2000 to 2100.Answer parts (a) through (c).Year Population Year(millions)275.8307.9326.6355.3381.1406.6200020102020203020402050C20602070208020902100Full data setPopulation(millions)438.7472.4507.3537.9576.6(a) Find a linear function that models this data, with x equal to the number of years after 2000 and f(x) equal to the population in millions.f(x) =(Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)

Given: Year Population (millions) 2000 275.8 2010 307.9 2020 326.6 2030 355.3 2040…

Answered: Answer parts (a) through (c). 2000 2010…

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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27. Which of the contexts below could be modeled by a linear function? A. A car depreciates at a rate of 9.5% per year. B. A coin collection appreciates at a rate of 16% per year. C. An elevator descends at a rate of 32 feet per second. D. The amount of a certain medication in a person's bloodstream decreases by every hour.
The growth rate of the speed of sound in relation to the temperature in degrees Fahrenheit is a linear function. The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every 1 degree Fahrenheit rise in temperature, the speed of sound increases by 1.1 feet per second. A. Identify the initial value of linear function that gives the speed of sound in terms of temperature. B. A 20 degree Fahrenheit rise in temperature would provide what increase in the speed of sound? C. What would the speed of sound be after a 67 degree Fahrenheit rise in temperature?
Please show all working.
B3 Calculate (predict) t = 11 for each trend method. Create a Linear prediction for Federal Debt-GDP = Create an Exponential prediction for Federal Debt-GDP = Create a Polynomial (order 5) prediction for Federal Debt-GDP = Year t Federal Debt - GDP 2011 1 96.018 2012 2 100.061 2013 3 100.810 2014 4 102.818 2015 5 100.246 2016 6 105.337 2017 7 104.806 2018 8 105.632 2019 9 107.047 2020 10 128.332
Car Loansa. Explain why the monthly payment P is a linearfunction of the amount borrowed A.b. Find f (25,000) and interpret its meaning.c. If f (A) = 358.49, what is A?
Below is data collected over 6 specific years. The data collected is the Consumer Price Index (CPI) and the cost of a slice of tuna. We would like to build a model using the CPI to predict the cost of a slice of pizza in a given year. Year 1960 1973 1986 1995 2002 2003 CPI (x) 30.2 48.3 112.3 162.2 191.9 197.8 Cost of a slice of tuna(y) 0.15 0.35 1.00 1.25 1.75 2.00 Plot the data. Are we justified in creating a Linear Regression model to predict the price of a pizza slice using the CPI? Why or why not? Calculate the descriptive statistics. Calculate the sums of squares Calculate the slope, intercept, and correlation. What is this correlation value telling us? Assemble the prediction equation, and interpret the slope within the context of the problem. State the hypotheses for the hypothesis test for regression.
8. The population of a town is 12,500 and decreases by 6% each year. Write a function to use to predict the yearly decrease. Predict the population after 4 years. Use the table to show the year-to-year decrease. f(x) = Year Population 12,500 1 3 4 5 2.
An economist is studying the median yearly income of workers by their ages. Age (yr) 18 28 38 48 58 68 Median Income ($) 17,480 30,650 37,440 41,230 37,570 21,390 a. What function best models the data (linear, quadratic, exponential)? b. Write a function that models the data. c. Use your model to predit the median income for a worker who is 43 years old. Round to the nearest dollar.
Describe the patterns in quantity sold and own and rival prices during this time period using basic descriptive statistics. Graphs are welcome as well. Take the logs of the variables, and estimate the demand function. Interpret the R-square. Interpret the coefficients for logP and logPsub Interpret the p-values associated with each independent variable Are consumers price sensitive? Why or why not? (be as precise as you can – you have estimates!). Does this price sensitivity make sense given the good we are examining? How sensitive are our consumers to changes in the rival good’s price? Explain in detail. Suppose we decide to charge a per ounce price of $2, while at the same time our rival charges a price of $2.15. All else equal, what would you expect sales to be? How confident are you in your forecast? Suppose we are charging a price of $2 and our current marginal cost is $1.50 Are we maximizing profits at this price? If not, should we raise or lower price? Why?
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.
(a) The number of tourists visiting a certain country is a linear function of time. Using this fact, fill in the blanks in the following table. Be sure to show your work. Date N: number of tourists (in thousands) 1979 103 1983 91.8 1987 80.6 1991 1995 (b) Find a formula for a linear function that models the data in the table (N as a function of t, the number of years since 1979.) N = t + (c) Explain in practical terms the meaning of the slope of the function you found in Part (b). O The rate at which a tourist visits the country every year O The number of years since the last visit of the tourists O The number of tourists visiting the country on a given year O The rate at which the number of tourists is decreasing every year (d) Use your formula from Part (b) to predict the date when the number of tourists will drop to 49.8 thousand.
The Cloud World IT cloud services revenues from2009 and projected to 2015 are shown in the table.a. Create a scatter plot for the data with y equal tothe billions of dollars of revenue and x equal to thenumber of years after 2000.b. Use the scatter plot to determine whether the datacan be fit exactly by a linear function.

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