23Fit a straight line by the method of least squares to the data givenbelow:Year1980198119821983Sales (000 Rs.)10131520SolutionCalculation of Trend values by Least Square MethodYearSales(000 Rs.)YYc=6.5+3.2 X(1)1980XYX2Yc10109.719811322612.914

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Answered: 23 Fit a straight line by the method of…

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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2.1. Give one word for the following statements or scenarios: 2.1.1. The data collected by the researcher from the Department of Education were the 2020 matric results for all South African high schools in disadvantaged areas.. 2.1.2. This analysis can be performed using either the method of moving averages, or by fitting a straight line using the method of least squares from regression analysis.
Consider the following. X Y 1 3 5 2 9 7 11 7 5 5 (a) Find an equation of the least squares line for the data given above. (Round your numerical values to two decimal places.) y= (b) Draw a scatter diagram for the data and graph the least squares line. y 15 10 5 15 10) Need Help? 2 Pe 10 @O 08 15 10 15 10 10 10 X 5
58. Fit a straight line trend by least squares method and tabulate the trend Pvalues from the following figures of production of a cement factory : Year Production ('000 tonnes) : 2008 77 2009 88 2010 94 2011 2013 2012 91 2014 90 85 98
12. Fit a straight line trend by the method of least squares to the following data. Assuming that the same rate of change continues, what would be the predicted earming for the year 2015? Year 2001 2002 2003 2004 2005 2006 2007 2008 Eamings (Rs. lakh): Do not plot the trend values on the graph. 38 40 65 72 69 60 87 95
Short Case:2 Annual sales of Macro company as follows: Year 2016 2017 2018 2019 2020 Sales (in Millions) 200 250 300 350 400 a) Find the trend values for the years 2019 and 2020 by using the method of least squares. b) Estimate the annual sales for the years 2021 and 2022.
15. Fit a straight line trend by the method of least squares. Year: 1987 1988 1989 1990 1991 1992 1993 1994 1995 Death: 175 190 185 195 180 200 185 190 205 Estimate the number of death for year 2002. CS Scanned with CamScanner
The following table gives estimates of the percent of a certain country's population below the poverty level for 1998–2008. Year Percent 1998 12.8 2000 11.2 2002 12.1 2004 12.7 2006 12.9 2008 13.2 Find the least squares line that relates years to percent below the poverty level. (Let x = 0 represent the year 1998. Enter a mathematical expression.
The sales by Walker's Milk and Dairy products, in millions of dollars, for the seven-year period from 2014 to 2020 are reported in the following table. Year 2014 2015 2016 2017 2018 2019 2020 Y' = Sales ($ millions) $17.8 a. Determine the least squares trend equation. (Round the final answers in millions of dollars to 2 decimal places.) 19.7 22.4 t Estimate sales for 2021 24.0 24.7 27.5 29.2 b. Estimate sales for 2021. (Round the intermediate calculations and the final answer in millions of dollars to 2 decimal places.) ($ million).
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23 Fit a straight line by the method of least squares to the data given below: Year 1980 1981 1982 1983 Sales (000 Rs.). 10 13 15 20 Solution Calculation of Trend values by Lcast Squarc Method Year Sales (000 Rs.) Y Yc=6.5+3.2 X (1) 1980 XY X2 Yc 10 10 9.7 1981 13 2 26 12.9 14