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

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

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: Write an exponential regression equation for this set of data, rounding all coefficients to the…

A: we know the exponential equation: y=aebx Now, taking logarithm on both sides, we get ;…

Q: 6 Jean invested $380 in stocks. Over the next 5 years, the value of her investment grew, as shown in…

Q: What is the trend equation based in the regression analysis? ( negative amounts should be indicated…

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

Q: Target due: 4/23/20 Constructa scatterplot and identify the mathematical model that best fits the…

A: Let us define the variable X as the months and Y as the average sunset time in hours. Step-by-step…

Q: Hours (x) Average Number of Spores (y) 4 0 0.5 1 2 23 4 6 10 15 60 260 1130 16,380

A: Concept: Here the curve fitted is y=aebx taking log both sides we have…

Q: The table shows the yield (in bushels per acre) and the total production (in millions of bushels)…

A: Given: The below table: To find: The logarithmic regression model. Also, find the yield in 2029.

Q: The decay constant of Carbon-14 is ?=.00012 An archaeologist finds a piece of wood that contains 1/6…

A: We will solve the following.

Q: The table shows the annual revenue from area Walmart stores (in millions of dollars). Amount, y…

A: The given table data is Year Amount, y 2003 12.92 2004 14.70 2005 16.18 2006 17.64 2007…

Q: exponential function

Q: The accompanying table shows the number of bacteria present in a certain culture over a 6 hour…

A: Given that, x : time in hours y : number of bacteria present in the certain culture. First we have…

Q: Population A increases at a constant rate of 4%/yr. Population B increasesat a constant rate of 500…

A: Population A increases at a constant rate of 4%/yr. Population B increasesat a constant rate of 500…

Q: Just find the t value

A: Instruction "Just find the t value " Given Data : Here we are testing whether there is a…

Q: The table below shows the costs in cents of a domestic first class postage stamp in the United…

A: For a function of the form: y=f(t), the dependent variable is y and the independent variable is t.…

Q: OA. For every decrease of one unit of % change in Y, holding bo constant, the estimated change in…

A: The estimated regression equation is

Q: Plz look at attached photo

A: Y^=βo+ β1*X βo=intercept β1: coefficient of year Given in table βo=-69.589, β1=0.037588

Q: An exponential equation is a nonlinear regression equation of the form y = ab*. Use technology to…

A: Given the data asNumber of hours, xNumber of bacteria, y1167227934684780513116191674883

Q: A 10-year study conducted by the American Heart Association provided data on how age, blood…

A: From the given information, y x1 x2 x3 12 57 152 0 24 67 163 0 13 58 155 0 56 86 177 1…

Q: Construct a scatterplot and identify the mathematical model that best fits the data. Assume that the…

A: X (pounds of oranges) 4321 5012 5239 5366 8978 25413 Y (gallons of Orange juice) 341.3 391.5 399.6…

Q: Use a graphing utility to create a scatter diagram of the data given in the table. Observe the shape…

A: As according to given table: X 1 2 3 4 5 6 7 8 9 10 f(x) 409.3 260.9 170.7 110.5 73.7 45 32.3…

Q: Find an exponential regression for the data above:

A: Given, Year Price($) 2001 5.66 2002 5.81 2003 6.03 2004 6.21 2005 6.41 2006 6.55…

Q: determine the equation of the logarithmic regression function for the data. x, 1,2,3,4,5,6 y, 0.0,…

A: Given information: The data represents the values of the independent variable x and dependent…

Q: Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data…

A: The given data for the men's and women's 100-meter freestyle. Men Women 1980 1984 1988 1992…

Q: For a team with 1318 turnovers in a season, find the expected number of wins in a season.

A: It is given that Regression equation of y on x is y = 102 - 0.05x

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

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

Ton arte 2 People in the United States are drinking less of a certain juice than they have in the past. years since 1980 H of gallons of juice "A" per year 10.5 8.3 10 7.0 15 5.7 20 4.2 25 3.8 30 2.9 Is this exponential growth or decay? Use your regression equation to predict how much of the juice the average person drank in the year 2012. about gallons
This uses minitab. Make a regression that will enable you to predict BAC from the number of beers consumed. What is the residual for a person who has consumed 8 beers? Give your answer to 3 decimal places. A +0.131 B +0.120 C -0.011 D -0.120 E +0.011 F -0.131
Use the screenshot attached to answer question thanks What is the per unit variable cost? Round to 1 decimal place. $ per sleeping bag
Use the data below to determine the exponential regression for the population of a large town. Round the values in the regression equation to two decimals. Then, estimate the population in the 38th year. Round your answer to the nearest whole number. Population (thousand people) 50 Years 5 65 10 74 15 89 20 105 25 160
16 Use the following regression equation to predict the mean income for all households of the middle fifth of Americans in 2025 (year 11- this is the value of x!). Round all answers to the nearest whole dollar and type it in the space below. Do not include commas or the dollar sign in your answer. y = 2,774.86x + 53,745.5 The average income will be approximately $4 Type here
Use exponential regression to extrapolate the value of y when x = 6. Round your answer to the nearest whole number. X y ¹2 77 -1 65 0 56 1 47 2 40 3 34 (Record your answer in the numerical response box from left to right.)
Find a formula for the tripling time T3 of an exponential growth model. Write the relative growth rate as k. T3 =
Plz solve exactly i need exact soloution correct answer plz
Please help!
33
Determine the exponential regression of the data below using either a calculator or spreadsheet program. Then, estimate the x value when the y value is 5.2. Round your answer to one decimal place. (−4.7,10.7),(−7.8,20.6),(−10.5,30.2),(−15.6,41),(−20.8,56.1),(−22,65.1)
Carbon dating is a tool used to determine the age of a fossil. For example, a humanoid skull was found in a cavealong with the remains of a campfire. Archaeologists believe the age of the skull to be the same as the campfire.Assume that the rate of decay of a radioactive substance is proportional to the amount of the substance present. Thehalf-life of a radioactive substance is the time it takes to reduce to half its initial amount. for part a I beleive that this is y'=ky where y is the amount of C14 and y(o) = y0 but I am probably wrong. for part b I have no clue how to do this.