Below are given the annual production figures (in thousand tonnes) of afertiliser factory :Year2011201220132014201520162017Production :707590919598100(1) Fit a straight line trend by the method of least squares and tabulate the trend values.(i) Convert your annual trend equation into a monthly trend equation.

Answered: Image /qna-images/answer/bd75a2ce-2545-47ad-9503-9d7f9611daf6.jpg

Answered: Below are given the annual production…

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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Use the following sales data: Week Sales 1 30 2 35 3 56 4 85 5 95 6 45 7 65 8 74 9 73 10 39 Use naive method, a three-period moving average and exponential smoothing with an a=0.35 for forecast sales Compare the forecasts using MSE and MAD. Explain which one is the best. Make a forecast for weeks 11 and week 12 by using the optimal method.
The following chart shows the actual sales for the last 12 months for a given company. Assume that sales are best fit by a linear trend and you can use single linear regression to set up a forecasting model. Using the sales data answer below questions (justify your answers): A.What would be the typical linear regression equation for the number of sales? B.Make the sales forecast for period 15 of next year. C. Make the sales forecast for period 17 of next year. D. What is the standard error for the data?
Estimates for Medicare are given below: Year Cost (billion dollars) 1995 157 1996 178 1997 194 1998 211 1999 229 2000 247 Write the linear equation using the years 1997 and 2000. Write the linear regression equation Using the regression equation, predict the Medicare cost this year. Using the regression equation, interpret the slope in terms of this problem.
llustration 12.7. Below are given figures of production in 000's quintals of a Sugar factory. Year 1941 1942 1943 1944 1945 1946 1947 SO. 92 (u) Find the slope of a straight line trend to these figures. (b) Plot these figures on a graph and show the trend line. Production 90 83 94 99 92
Example 3: Using three-year moving averages, determine the trend. Production Production Year Year (1000 tonnes) (1000 tonnes) 1990 21 1995 22 1991 22 1996 25 1992 23 1997 26 1993 25 1998 27 1994 24 1999 26
Example 18.15 The trend equation for annual sales of a product is– Y = 102 + 36 X with 1s January 1990 as origin. (i) Determine the monthly trend equation with 1ª July 1992 as origin. (ii) Compute the trend values of sales in October 1994. st
The following data show the quarterly sales of a major auto manufacturer for the years 1 through 3. Use multiplicative method to answer the following questions. Year Quarter Sales 160 2 180 3 190 4 170 1 200 2 210 3 260 4 230 3 1 210 2 240 290 260 3 4 26. The equation for the trend line of yearly sales is F, = 567 + 150t. What is the prediction for the sales in year 4? 1200 с. 27. What is the seasonal index for quarter 4 in year 1? a. 1.0 28. What is the average seasonal index for quarter 1? 1.0 29. What is the sales forecast for quarter 1 in Year 4? a. 250 30. What is the sales forecast for quarter 3 in Year 4? a. 340 с. 2.
Use the Women's Earnings scatterplot below to answer the questions. Women's Earnings as a Percentage of Men's Earnings 90 80 70 60 50 y = 0.617x - 1156.3 R² = 0.9302 40 30 20 10 1979 1984 1989 1994 1999 2004 2009 Year Use the equation for the trend line to estimate women's earnings as a percentage of men's earnings in 2000. (Round to the tenths place.) Percentage
Q27
(a) You are given the following trend equation by the method of least squares of a ´company selling readymade garments : Y = 480 + 36 X Origin 1988 X= Unit of one year Y = number of units sold per year (i) Convert the above trend equation into a monthly trend equation; and (ii) Estimate the sales for the month of Oct. 1994.
The table below shows the approximate percent of students who sent applications to two colleges in various years since 1985. Years Since 1985 0 3 6 9 12 15 Percent 20 18 15 15 14 13 The scatter plot below is a representation of the table of data above. A regression equation for this line is What do the slope and y-intercept indicate? a. The slope indicates that the percent in 1985 should have been about 19%. The y-intercept indicates that the percent is falling at about 0.4% each year. b. The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%. c. The slope indicates tha the percent has remained the same for each year. The y-intercept indicates the percent in 1985 should have been 22%. d. There is not enough information to determine what the slope and y-intercept indicate. Please select the best answer from…
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 40 inches. Is the result close to the actual weight of 352 pounds? Use a significance level of 0.05. Chest size (inches) *Weight (pounds) 44 54 328 528 41 55 39 51 418 580 296 503 Click the icon to view the critical values of the Pearson correlation coefficient r. - What is the regression equation? x (Round to one decimal place as needed.)

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