3. The following data show estimates of the population of Liberia in selected years between 1960 and 2010: Year 1960 1970 1980 1990 2000 2010 Population (millions) 1.1 1.4 1.9 2.1 2.8 4 Calculate the rate of growth of the population in millions per year for 2010. (a) Use two-point backward difference formula. (b) Use three-point backward difference formula. (c) Using the slope in 2010 from part (b), apply the two-point central difference formula to extrapolate and

3. The following data show estimates of the population of Liberia in selected years between 1960 and 2010: Year 1960 1970 1980 1990 2000 2010 Population (millions) 1.1 1.4 1.9 2.1 2.8 4 Calculate the rate of growth of the population in millions per year for 2010. (a) Use two-point backward difference formula. (b) Use three-point backward difference formula. (c) Using the slope in 2010 from part (b), apply the two-point central difference formula to extrapolate and

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

See similar textbooks

Similar questions

Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
5 Quarterly data from 1960Q1 to 2009Q4, stored in the file consumptn.dat, were used to estimate the following relationship between growth in consumption of consumer durables in the U.S. (DURGWTH) and growth in personal disposable income (INCGWTH); DURGWTHt = 0.0103 - 0.163 DURGWTHt-1 + 0.7422 INCGWTHt + 0.3479 INCGWTH t-1 Given that DURGWTH 2009Q4 = 0.1, INCGWTH 2009Q4 = 0.9, INCGWTH 2010 Q1= 0.6, and INCGWTH 2010 Q2= 0.8, forecast DURGWTH for 2010Q1 and 2010Q2
3- Suppose a student carrying a flu virus returns to an isolated college campus of 8000students. If it is assumed that the rate at which the virus spreads is proportional not onlyto the number x of infected students but also to the number of students not infected.a) determine the number of infected students after 6 days if it is further observed thatafter 4 days x(4)= 50.b) What happens after a long time? Analyze your result using a plot of the generalsolution
Monthly sales have been found to follow a linear trend of y = 10 + 8x, where y is the number of items sold and x is the number of the month. Monthly deviations from the trend have been calculated and follow an additive model. In month 12, the seasonal variation is estimated to be -6. What is the forecasted number of items to be sold in month 12?
The following table shows timber stumpage prices for pine pulpwood in two regions of the American South. Prices are in dollars per ton and were recorded at the start of the indicated year. Year Region 1 Region 2 2002 6.30 4.00 2005 7.50 6.70 2007 7.00 9.00 (a) For Region 2, what is the average rate of change per year in price from 2002 to 2005?(b) Use your answer to part (a) to estimate the price in Region 2 at the start of 2004. (The actual price was $6.40 per ton.)(c) For Region 1, what is the average rate of change per year in price from 2005 to 2007?(d) Use your answer to part (c) to estimate the price in Region 1 at the start of 2008.(e) For each region, find the percentage increase in price from 2002 to 2007. (Round your answers to one decimal place.) Region 1 % Region 2 % (f) On the basis of your answer to part (e), in the absence of other factors, would an investor in timber be better advised to choose Region 1 or Region 2? Region 1Region 2
Suppose the following model describes changes in the civilian unemployment rate: Δuert = −0.0405 − 0.4674Δuert −1. The current change (first difference) in the un- employment rate is 0.0300. assume that the mean-reverting level for changes in the unemployment rate is −0.0276. a. what is the best prediction of the next change? b. what is the prediction of the change following the next change? C. explain your answer to Part b in terms of equilibrium.
An investment of $100 produces rate of return as follows In year 1: a gain of 10 percent In year 2: a loss of percent In year 3: a loss of 8 percent In year 4: a gain of 3 percent. Calculate the value of the investment at the end of the fourth year and calculate the mean annual rate of return.
Suppose the following are the seasonal indices for the first three quarters of the year for a quarterly series: Quarter Seasonal Index Q1 73.9 Q2 84.1 Q3 107.1 Remember that the seasonal indices should average 100 so you should be able to infer the seasonal index for Q4. Furthermore, suppose that the estimated coeffcients from a regression of the deseasonalized series on Time are given below: Coefficients Intercept 2,964 Time 50.7 What is the trend projection of the series for period 119? (please round your answer to 1 decimal
is this true or false the average rate of change between any two points on the graph y=2x+7 is 2
The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games" after its opening on 23 March 2012. Days $Receipts 0 152.535 14 33.111 28 14.666 42 5.587 56 2.95 70 1.567 84 0.852 98 0.397 112 0.279 126 0.518 Estimate the instantaneous rate of change of the daily receipts on day 70.