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 +90e-0.8twhere 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!

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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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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+30e-0.4t 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!
The Warren Theater in Moore has determined the number of tickets that could be sold to a special screening at a particular price. The data is given in the table below. Find the complete logarithmic model, D(p), for the demand of tickets. Price (dollars) 10 20 30 40 50 Demand (tickets) 955 600 450 230 95
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
A quality control team studies the relationshipbetween years of experience (x) for individualdesign employees and ability to complete acomplex project within a certain time frame (y),where Y = 1 if the project is successfullycompleted, and Y = 0 if not. We know: b0 = −1.68and b1 = 0.12.a) Write the estimated logit function.b) Estimate the odds that a design employeewith 10 years of experience completes thecomplex project.c) Find and interpret the estimated odds ratiofor this model.
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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.) H = 3120.372 × 0.916t H = 993.002 × 1.002t H = 94.414 × 1.091t H = 2560.371 × 0.872t H = 72.438 × 1.143t (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 2015. (Let t be years since 1970.) H Estimate that value. (Use the model found in part (b). Round your answer to…
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
Use the following data below to find the approximate value of x in the equation (3.8)3x-1 = 0.008. Data: log 2 = 0.3010 log 38 = 1.5798 log 96 = 1.9823
Comment on the following statement: "The cost function for logistic regression trained with 100 examples is always non- negative."
Graph the function

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