* For the following table :() Fit a straight line trend by the method of least squares.(ii) Calculate the trend values.Year2003200420052006200720082009Production(million tonnes) :12101411131516

Answered: Image /qna-images/answer/7682343c-ca83-4a26-9381-8f118d46f182.jpg

Answered: * For the following table: () Fit a…

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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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
2. Table below records the quarterly refrigerator sales for the period 2012-2014. Number of 1 2 3 4 purchases 2012 46 41 60 63 2013 56 52 66 72 2014 58 56 75 76 a) Find the trend equation using the least squares method. b) Forecast the sales for the 1" quarter of 2015.
4. A Zumba instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. Age (x years) 20 40 60 Maximum heart rate 170 153 136 (y beats per minute) a. Find the linear correlation coefficient for the data. b. What is the significance of the value found in part a? c. Find the equation of the least-squares line. d. Use the equation from part c to predict the maximum exercise heart rate for a person who is 72. e. Is the procedure in part d an example of interpolation or extrapolation?
College Graduation Rates. Data from the College Results Online website compared the 2011 graduation rate and median SAT score for 92 similar-sized public universities and colleges in the United States. The scatterplot below shows the relationship between these two variables along with the least squares fit. Round all calculated results to 4 decimal places. I ONLY need help with question 6.
The following time series shows the sales of supermarket chain over the last six months. Month Sales ($ 000) August 2021 250 Sep 2021 280 Oct 2021 295 Nov 2021 320 Dec 2021 380 Jan 2022 360 Develop a linear trend equation that can be used to forecast sales in Feb 2022. Forecast the sales in Feb 2021 using a three-period weighted moving average designed with the following weights: Nov 2021 weight 0.6, Dec 2021 weight 0.3 and Jan 2022 weight 0.1. Which method (A or B) is the best? Explain why.
Mlustration 12. From the following data compute the 3-yearly and 5-yearly moving averages and: Year : 1 3 4 7 8 9. 10 11 Values : 25 30 34 37 39 40 40 39 37 34 30
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
Sales of a particular product for the years 2017 through 2020 have been 390, 455, 432 and 487 respectively. What sales would you predict for 2021 using a weighted moving average with weights of 0.45 for the immediate preceding year and 0.3, 0.15 and 0.1 for the three years before that?
Amount of fertilizer (x) in pounds for each plot: 12, 5, 15, 17, 20, 14: Bushels of tomatoes harvested (y) 24 22 31 33 21 28: Round all values to three decimal places. a) Find the equation of the regression line (line of best fit). b) Calculate the correlation coefficient (r). c) Determine if there is a significant linear correlation. d) If the linear relation is significant, predict how many bushels of tomatoes would be harvested if 22 pounds of fertilizer was used.
7. Fit a straight line trend by the method of least squares to the following data. Year: 1989 1990 1991 1992 1993 1994 1995 1996 Earnings: 38 40 65 72 69 60 87 95 (Rs lakhs) Fore cast the earnings for the year 1997.
6 plot
Find and interpret a 95% confidence interval for how the average weight changes for a one hour increase in sleep per night. Find and interpret a 95% confidence interval for the average weight given 6.5 hours of sleep per night is obtained.

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* For the following table: () Fit a straight line trend by the method of least squares. (ii) Calculate the trend values. Year : 2003 2004 2005 2006 2007 2008 2009 Production (million tonnes) : 12 10 14 11 13 15 16