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Highest cases date During the Coronavirus pandemic, statistics such as number of new daily cases are gathered to help study the growth or decline of the spread of the virus. A country's cumulative new case data after 100 cases is provided for this problem. The data is taken from https://informationisbeautiful.net/data/ and shows accumulative data for 128 days. The data plot is shown in the figure below. No. cases 2,105 1.5 0.5 0 0 20 Accumulative Case Number 40 60 80 100 120 140 Days One important statistical parameter is the maximum value. Finding the maximum value and the relative location of the maximum in data, like the date of the occuracne of the maximum number of cases, can help in further studies of the progression or digression of the disease. Write a function called FindMaxCovid() that takes in the accumulative data and returns the maximum number of new cases, as well as the date the maximum number occured Given: accumNum: a 1D array containing the accumulative number of cases for 128 days The output is: maxCovidNum: the maximum number of new cases occuring on a day maxCovidDay, the day the maximum number occured
The derivative of the daily data, not the accumulative data, should be used to find the maximum. Using this method, the data may have more than one maximum. Therefore, the results should be checked for the real maximum and not the local maximum. Note: plolyfit() and polyder() must be used in this function. Function 1 function [maxCovidNum, maxCovidDay] FindMaxCovid(accumNum) D= [1: length(accumNum)]": 4 $ 10 11 13 14 15 16 17 18 19 20 211 22 23 25 end p is the accumulated 5th order 128 day modeled data. [p,s] = Save C Reset Takes the first derivative of AccumNum data and gives the real number of cases for each day. Diff theoretically should give the same answer, but since the data is modeled, the answers will n dp = Number of daily cases from the first derivative model. Has to be an integer. dailyCases = round (polyval(dp,D)); *Provides the single ablsolute max and the index [maxCovidNum, ind] =max(dailyCases (derivativeZeros)); * Takes the second derivative of AccumNum data. The roots of derivative of data are usually the max ddp = The roots are not integers and should be rounded to give the day number. Using floor will not give the max values. derivativeZeros floor(roots (ddp)); Gives the date of the max maxCovidDay = derivativeZeros(ind); MATLAB Documentation