Fit a linear trend curve by the least-squares method to the following data and then estimate levels of production in 2023 and 2025. Year 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020Production (M Tons)10 12 16 20 22 25 28 31 35 40 44 50Consider the following distributions of the marks scored by 100 students in a quantitative techniques activity. The median mark is known and given as 49.8. Marks 0- 15 15- 30 30- 45 45- 60 60- 75 75 – 90 90-105 Total No. of Students 10 12 20 f1 15 f2 8 100Find the missing frequencies f1 and f2 and then compute the Bowley coefficient skewness and comment.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Fit a linear trend curve by the least-squares method to the following data and then estimate levels of production in 2023 and 2025.

Year	2009	2010	2011	2012	2013	2014	2015	2016	2017	2018	2019	2020
Production (M Tons)	10	12	16	20	22	25	28	31	35	40	44	50

Consider the following distributions of the marks scored by 100 students in a quantitative techniques activity. The median mark is known and given as 49.8.

Marks	0- 15	15- 30	30- 45	45- 60	60- 75	75 – 90	90-105	Total
No. of Students	10	12	20	f1	15	f2	8	100

Find the missing frequencies f1 and f2 and then compute the Bowley coefficient skewness and comment.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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