The table below gives U.S. lead emissions, L, into the environment in millions of metric tons for 1970-1992. Let 1= 0 in 1970.1970 1975 1980 1985 1988 1989 1990 1991 19925 3.9YearLead emissions 274 114.6 42.8 14 8.3 6.7 6(a) Find an exponential model for these data.Lead emission, L(1) =(b) Find a fourth-degree polynomial model for these data.Lead emission, L(t) =(c) Which of these curves gives a better model for the data?OA. exponential modelOB. fourth-degree polynomial(d) Estimate the lead emission in 1982 according to the polynomial model in part (b).

Let t=0 for 1970, t=1 for 1971, t=2 for 1972 and so on t=22 for 1992. Therefore, Year t L 1970…

Answered: The table below gives U.S. lead…

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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The coefficients are given by ln w = 11.7 + 0.05school ln w = 11.4 + 0.10school women men 1. Do women make more or less than men? What is the average difference in log wages between women and men? What do log differences approximate? 2. Depict on the graph a prediction for how much a man would make with the schooling of an average woman. 3. Use the regression equations, estimate the predicted log wage of the man with the schooling of an average woman. 4. Use (2) to graphically decompose the difference in average men’s log wages with average women’s log wages into a component due to schooling and an unexplained component. 5. Use (3) to algebraically decompose the difference in average women’s log wages with average men’s log wages into a component due to schooling and an unexplained component. 6. What fraction of the wage differences are unexplained? 7. Would your answer change if instead you predicted how much a woman would make with the schooling of an average man? Explain. 8. Is the…
14. Which table describes an exponential function? а. 1 2 3 4 y 8 16 24 32 b. 1 2 3 4 4 16 32 y c. 1 4 y 1 4 9 16 d. 1 2 3 y 4 co 3. 2. 2.
Use Regression to Find and Use an Exponential Model to answer the questions: The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 350 138 1988 1992 1996 36 2000 4 2005 3.2 2007 1.3 Let f(t) be the number of polio cases in the world t years since 1980. The exponential regression equation for the data above is: f(t) = 3837.25(0.74)* Predict the number of polio cases in 2009. Hint Predict in which year there will be 1 case of polio. Find the approximate half-life of the number of polio cases. Round your answer to one decimal place. years
31. Table 4.3 shows the population of Pennsylvania in each 10-year census between 1830 and 1950. Table 4.3 Population of Pennsylvania Population in Years since 1820 thousands 10 1348 20 1724 30 2312 40 2906 50 3522 60 4283 70 5258 80 6302 90 7665 100 8720 10 9631 120 9900 130 10,498 Source: Bureau of the Census, uS. Chamber of Cammerce. (a) Find the logistic regression for the data. (b) Graph the data in a scatter plot and superimpose the regres- sion curve. (c) Use the regression equation to predict the Pennsylvania popu- lation in the 2000 census. (d) In what year was the Pennsylvania population growing the fastest? What significant behavior does the graph of the regres- sion equation exhibit at that point? (e) What does the regression equation indicate about the popula- tion of Pennsylvania in the long run?
?
page. 1. A bacteria colony initially has 4000 cells and triples every week. A function that can be used to model the population, p, of the colony after t days is a. p(t) = 4000(3)' с. %3D p(t) = 4000(3) 7 b. P(t) = 4000(2) d. p(t) = 4000(2) 7 %3D An investment of $100 is placed into an account that earns interest ompounded onnuolly € 50/ 6C.
Find the exponential functions for the following data: X y -50 20000 0 24000 50 28800 100 34560 x y 0 2 10 4 20 8 30 16
The table below shows the value, V, of an investment (in dollars) n years after 1992. 1 3 7 4120 4283 4919 12 14 5874 6050 n V(n) 6663 Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to the nearest whole number, and round the "b" value to three decimals. Use the indicated variables and proper function notation. V(n) Based on the your regression model, what is the percent increase per year? The value of this investment is increasing at a rate of % per year. Based the your regression model, what is value of this investment in the year 1992? Round your answer to the nearest dollar. The value of this investment is $ in the year 1992. Based on the your regression model, what is value of this investment in the year 2002? Round your answer to the nearest dollar. The value of this investment is S in the year 2002.
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The table shows the yield (in bushels per acre) and the total production (in millions of bushels) for com in a country for selected years since 1950. Let x represent years since 1900. Find a logarithmic regression model (y= a + b In x) for the yield. Estimate the yield in 2020. The regression model is y=+nx. (Round to one decimal place as needed.) The estimated yield in 2020 is bushels/acre. (Round to the nearest integer) Year 1950 1940 1970 1980 1990 2000 2010 *8828889 50 60 70 90 100 110 Yield 37 51 82 98 117 134 153

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