Calculating Wind Speed of a Country using Statistical Tools and Linear Forecasting Theory
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Added on 2023/06/10
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The report describes the use of statistical tools like mean, median, mode, range, standard deviation and linear forecasting theory to calculate wind speed of a country. It also explains how to discover the worth of c and m using linear predicting model. The report provides insights on future forecasting of wind speed.
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Contents INTRODUCTION...........................................................................................................................2 MAIN BODY..................................................................................................................................2 1. Compute the data of the country in a table(Hudson and Willoughby, 2021).........................2 2. Show wind speed of the country in Chart Format...................................................................2 4. Using Linear Predicting model do regression investigates and discover the worth of c and m..................................................................................................................................................5 CONCLUSION................................................................................................................................7 REFERENCES................................................................................................................................8
INTRODUCTION The following report describe the mean, median, mode, standard deviation, range,Lineal Forecasting Theory on the basis of country wind speed data. The mean is generally helpful for calculating the average, the medium is most commonly useful for determining the mid-point and the mode is useful to analyse the most repeatable value. In this following table all the statistical and mathematical tools are measures used to represent a midline of a set of data. MAIN BODY TASK 1. Compute the data of the country in a table(Hudson and Willoughby, 2021). Day Wind Speed 122 214 315 414 523 622 714 815 914 1023 Total176 2. Show wind speed of the country in Chart Format
Chart: Chart shows different temperature of the previous 10 days. Mean =Mean is an integral concept of statistics and mathematics. It refers to the average value for a given set of numbers in the series. It is derived from two or more numbers of data set. Mean signify the equal division of values for a given statistics set. The formula of mean is calculated by dividing the sum of all the set of data points by the Number of data points(Westwood., 2021). Steps which is used to calculate the Mean: Step 1: Collect all set of data
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Step 2: Sum of all the data points Step 3: Add all the number of data points Step 4: Divide the Total numbers of data points from sum of all data points Mean = Sum of all data points / Number of data points Mean= 176 / 10 Mean= 17.6 Median =Median value is derived after sorting a data as an ascending or a descending order and then the result is calculated(Cohrssen and Niklas., 2019). Steps should be taken for calculating the mean: Step 1: First of all, to arrange the data in ascending or descending order. Step 2: Add total numbers of data points. Step 3: Analyse and observe the value of medium in terms of odd and even Step 4: If the Medium value is odd then it is calculated as (N+1)/2. Step 5: The medium value id even then it is calculated as a simple method. Following are the formula of calculating the Medium value: Median Value (if even) = N / 2 Median value (if odd) = (N+1) / 2 Calculation of wind speed median: 22, 14, 15, 14, 23, 22 ,14, 15, 14, 23 14, 14, 14, 14, 15, 15, 22, 22, 23, 23 Median = N / 2 =15 / 2 =7.5thposition Median = (15 + 15) / 2 =30 / 2 =15 Mode =The number which have higher number of probability is equal to mode. Steps of calculating the value of mode: Step1: Sort the data in terms of ascending and descending order. Step2: Observe all the value in a data points. Step3: Count how many of each number.
Step4: Pick the number which have higher number of probability. 22, 14, 15, 14, 23, 22 ,14, 15, 14, 23 Mode = 14 Range =The range is the difference between the largest value and smallest value. In other words, it is calculated by subtracting the highest value from the lowest value(Roberts, Thier and Beach., 2021). Following steps to calculate the range are: Step1: Arrange the data in a systematic manner Step2: Analyse the highest and lowest value Step3: Deduct the lowest value form highest value Step4: In result, the value of range is derived. Range = Highest value – Lowest Value = 23 – 14 =9 Standard deviation =It shows that how much data is scattered is in relation to the value of mean. Here, Measure steps to calculate the standard deviation Step 1: First of all, observe the value of mean. Step 2: After that calculate each data point deviation from mean. Step 3: Then find out the square. Step 4: further divide by the total number of data set Step 5: In the end, take the square root for calculating the standard deviation. Standard Deviation= √∑ (xi – μ) 2 / N =√162.4 / 10 = 4.029 4. Using Linear Predicting model do regression investigates and discover the worth of c and m. Lineal Forecasting Theory:It is helpful for future forecasting and it is prepared on the basis of past experience. Following are the formula to calculate the Lineal forecasting theory(Schreiber., 2021.): There are following steps to calculate lineal Forecasting Theory: Step1: Analyse the problem arising. Step2: Gather the information
Step3: Perform a beginning analysis Step4: Choose the model for forecasting activity. Step5: Then analysis the data Step6: Check the performance of model y = mx + C where, 'y' is stands for Dependent Factor, 'mx' is stands for Independent factor and 'c' stands for constant Factor Following are the ways to calculate the value of 'm': 1.Multiply the value of both the factors. 2.Add the total value calculated 3.Each factor should be added separately. 4.Multiply the value of both the variables. 5.Than calculate the value. m = (10*972 – 55*176) / (10*385 – 3025) m = (9720 – 9680) / (3850 – 3025) m= 40 / 825 m = 0.048 Steps for calculating worth of 'c' Step1: First of all, Calculate the sum of 'y' factors. Step2: Calculate the value of 'y' variable. Step3: divide the sum with value 'N'. Step4: After the above calculation the Worth of 'c' is calculated. c = (176 – (0.048*55)) / 10 c = (176 – 2.64) / 10
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c = 173.36 / 10 c = 17.336 Wind speed on Day 12: - m = 0.048, c = 17.336, x = 12 y = mx + c y = 0.048*12 + 17.336 y = 0.576 + 17.336 y = 17.912 Wind Speed on Day 14: - m = 0.048, c = 17.336, x = 12 y = mx + c y = 0.048*14 + 17.336 y = 0.672 + 17.336 y = 18.008 CONCLUSION In the above represent the 10days wind speed data of the country and also helpful for the future forecasting. They helpful in calculating wind speed of the country with the help of mean, median, mode, range, standard deviation and lineal forecasting theory. Lineal forecasting theory is helpful in determining the day 12 and day 14 wind speed of the country.
REFERENCES Books and Journals Hudson, K.N. and Willoughby, M.T., 2021. Evaluating the Factor Structure and Criterion ValidityoftheCanadianLittleDCDQ:AssociationsBetweenMotorCompetence, Executive Functions, Early Numeracy Skills, and ADHD in Early Childhood.Assessment, p.10731911211003967. Westwood,P.S.,2021.TeachingforNumeracyAcrosstheAgeRange:AnIntroduction. Springer Singapore. Cohrssen, C. and Niklas, F., 2019. Using mathematics games in preschool settings to support the developmentofchildren’snumeracyskills.InternationalJournalofEarlyYears Education.27(3). pp.322-339. Roberts, P., Thier, M. and Beach, P., 2021. Erasing rurality: On the need to disaggregate statistical data. InRuraling Education Research(pp. 107-127). Springer, Singapore. Schreiber, J.B., 2021. Be Careful! That is Probably Bullshit! Review of Calling Bullshit: The Art ofSkepticisminaData-DrivenWorldbyCarlT.BergstromandJevinD. West.Numeracy,14(2), p.10.