Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six-week lag between fertilizer sales and mower sales. The pertinent data are:Period123567891011121314FertilizerSales1.51.21.92.1Intercept (a)Slope (b)2.31.41.51.31.51.12.01.31.71.4Number ofMowers Sold10813141410109119149119a. Determine the correlation between the two variables. (Round your answer to four decimal points.)Correlation Coefficientb. Obtain a linear regression line for the data. (Round your answers to four decimal points.)c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 1.9 tons. (Round youranswer to two decimal points.)Resulting Forecast

Answered: Image /qna-images/answer/5ccff761-1cee-4c0b-b0e2-d665cf8fcaec.jpg

Answered: Lovely Lawns, Inc., intends to use…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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You are given the following quarterly sales information for ASTRA Company over the last 3 years. table attached (image) Find the centered moving averages (CMA). Construct the seasonal and irregular components of the data.
The following data give the average price received by fishermen for several species of fish in 2000 and 2010. The price is in cents per pound. Fish Year 2000 Price (x) Year 2010 Price (y) COD 13.1 43.3 FLOUNDER 15.3 141.1 HADDOCK 25.8 151.1 MENHADEN 1.8 71.6 PERCH 4.9 105.7 CHINOOK 55.4 160.3 COHO 39.3 181.5 ALBACORE 26.7 137.2 SOFT SHELLED CLAMS 47.5 157.7 LOBSTERS AMERICAN 94.7 370.7 SEA SCALLOPS 135.6 416.8 SHRIMP 47.6 151.6 Create a regression equation for the data.y^= ________ Round to 2 decimal places. What is the correlation coefficient between the 2000 and 2010 prices. Round to 2 decimal places. If a type of fish was 41.3 cents per pound in 2000, how much would you expect to pay for it in 2010? __________¢/lbs Round to 1 decimal places.
Here are the data for the past 21 months for actual sales of a particular product: LAST YEAR THIS YEAR January 300 275 February 400 375 March 425 350 April 450 425 May 400 400 June 460 350 July 400 350 August 300 275 September 375 350 October 500 November 550 December 500 Develop a forecast for the fourth quarter using a three-quarter, weighted moving average. Weight the most recent quarter 0.5, the second most recent 0.25, and the third 0.25. Solve the problem using quarters, as opposed to forecasting separate months. Note: Round your answer to 2 decimal places.
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.
Using the data below and a second order model with one predictor variable, predict the sales for 50 months. Enter to the nearest cent. Do not use $ signs. Months Sales 41 275 103 296 76 317 106 376 22 162 12 150 85 367 111 308 45 189 51 235 15 83 12 112 8 67 56 325 19 189 Answer:
The materials handling manager of a manufacturing company is trying to forecast the cost of maintenance for the company's fleet of over-the-road tractors. The manager believes that the cost of maintaining the tractors increases with their age. The following data was collected: Age (years) 5.5 where Y = Yearly maintenance cost in dollars and X = Age in years. 5.5 5.5 5.0 5.0 5.0 6.0 6.0 6.5 Yearly Maintenance Cost (S) 1,319 1,749 1,733 1,195 1,423 1,381 1,590 2,222 1,687 Age (years) 5.0 1.5 1.5 Y = 7.0 7.0 2.0 2.0 2.0 Yearly Maintenance Cost ($) 1,894 863 882 a. Use POM for Windows' least squares-linear regression module to develop a relationship to forecast the yearly maintenance cost based on the age of a tractor. (Enter your responses rounded to three decimal places and include a minus sign if necessary.) 1,464 2,073 1,678 1,166 1,249
3. The police department is assessing its staffing requirements. The department expects that the number of serious crimes committed, C, on average each week is proportional to the number of officers, P, on special street patrol. Data for the past year has been collected and some of it is shown below: P 4 7 9 11 15 17 с 14 11 10 9 7 5 a) Neatly sketch a scatter plot of the data on graph provided below. Which variable is the independent variable that should be plotted on the horizontal axis? Notice that the data seem to fall in a linear pattern. Draw the best-fit line through the data. Label your axes, indicate the scale, and title your graph. Why has only the first quadrant been provided for the graph? b) Look at your best-fit line and identify two good coordinate points that sit right on this best-fit line:
A company has the following monthly sales for the past year. Plot the data points on a line graph and describe the results. Month Sales 1 145 2 146 3 145 4 150 5 148 6 150 7 156 8 160 9 158 10 153 11 152 12 154
D. Construct a scatterplot for the following data and use it to comment on between the variables. the form, direction, and strength Age of a 13 14 18 19 person, 11 15 16 17 20 years Weight, kg 48 50 40 42 38 35 45 51 48 47 Age of a car, 2. 0.5 1.5 3 4.5 5 years Mieage. kmL 16 15 10 12 10 12 11 10 11 8 2.
For the data set, perform exponential smoothing with alpha = 0.1 to determine the forecast for week 20. week Sales (1000s of gallons) 1 17 2 21 3 19 4 23 5 18 6 16 7 20 8 18 9 22 10 20 11 15 12 22 13 31 14 34 15 31 16 33 17 28 18 32 19 30
1-
4 pts Problem #1a: Use a two-month moving average to create a forecast for May. Calculate the forecast errors associated the moving average forecasts. Month Demand January 18 February 23 March 20 April 16 May ??? Edit View Insert Format Tools Table | в I U 12pt v Paragraph v MacBook Pro &

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