For some tasks, a logistic curve is used to model proficiency. In what follows, suppose that the percentproficiency is given by the logistic curve determined byP(t)1001+30e-0.4twhere t denotes the number of days of practice.Find the point where additional practice starts producing diminishing returns. Give your answer accurate toat least 2 decimal places.daysHint: use the fact that the graph of P(t) is a logistic curve!

Given: Logistic curve to model the proficiency as Pt=1001+30e-0.4t Here, t denotes the number of…

Answered: For some tasks, a logistic curve is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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I need help being walked through the logistic growth problem that is in the image attached please :)
Find the formula for logistic growth using the given information. The carrying capacity is 1800, the r value is 0.21 per year, and b = 26.
The number of people infected with a virus after thours is given by the following logistic function P (t) = 498 %3D 1+110 e-0.724 t a. Identify the carrying capacity (upper limit). :- 498 b. Determine the number of people infected after 9.5 hours. Round your answer to thé nearest whole number. Numbet people c. Determine when the number of people infected will reach 335. Round to 2 decimal places. Number hours
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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The logistic model P(t) = 96.0235 1+0.0455e0.1864t represents the percentage of households that do not own a personal computer t years since 1983. Complete parts (a)-(d). (a) Evaluate and interpret P(0). Evaluate P(0). P(0)=% (Round to one decimal place as needed.) C
For some tasks, a logistic curve is used to model proficiency. In what follows, suppose that the percent proficiency is given by the logistic curve determined by P(t) 100 1 +90e-0.8t where t denotes the number of days of practice. Find the point where additional practice starts producing diminishing returns. Give your answer accurate to at least 2 decimal places. days Hint: use the fact that the graph of P(t) is a logistic curve!
For this exercise, round all regression parameters to three decimal places.The following table shows national health care costs, measured in billions of dollars. Date 1970 1980 1990 2000 2010 Costs inbillions 75 253 714 1353 2570 (a) Plot the data. (Let t be years since 1970 and H the costs in billions of dollars.) (b) Find an exponential function that approximates the data for health care costs. (Let t be years since 1970 and H the costs in billions of dollars.) _______ (c) By what percent per year were national health care costs increasing during the period from 1970 through 2010? (Use the model found in part (b). Round your answer to one decimal place.) ________% (d) Use functional notation to express how much money was spent on health care in the year 2012. (Let t be years since 1970.) H(_______) Estimate that value. (Use the model found in part (b). Round your answer to the nearest integer.)________ billion dollars
Comment on the following statement: "The cost function for logistic regression trained with 100 examples is always non- negative."

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