Fit a straight line trend by the method of least squares to the followingdata. Assuming that the same rate of change continues, what would be the predictedearning for the year 2015?2001Year:2002200320042005200620072008Earnings ( $ lakh)3840657269608795:Do not plot the trend values on the graph.

The least square regression line is the straight line which relate the dependent variable y with…

Answered: Fit a straight line trend by the method…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Based on previous statistics, the dean of a business school forecasts total student attendance for this year's summer session classes: Year Enrollment Four years ago 2000 Three years ago 2200 Two years ago 2800 Last year 3000 What is the annual rate of change (slope) of the least squares trend line for these data?
Q3 The following data relates to the gross value of output of a factory over the last few years:Year 2014 2015 2016 2017 2018 2019 2020Production(in ‘000 tons)60 72.5 85.6 106.8 125.5 145.4 156.2Fit a straight-line trend using the method of least squares. Calculate the parabolic trend equation to predict the average annual output. Predict the trend values using each of the model and comment on its suitability
Find the forecast for the month of May using the exponential smoothing methodDemand dataJan 32.1 Feb 36.2 Mar 28.0 Apr 27.5And the January Forecast was: 27Smoothing constant = 0.15b) Find the mean absolute deviation (MAD) if the actual demand for May is 30.0
a. In the Petroco Service Station problem, compute an exponentially smoothed forecast with an α value of .30. According to the result from Excel and/or POM-QM, the forecast for the month of August b.In the Petroco Service Station problem, for the exponentially smoothed forecast with an α value of .30, compute the mean absolute deviation (MAD) via Excel and/or POM-QM c. In the Petroco Service Station problem, compute an exponentially smoothed forecast with an α value of .50. According to the result from Excel and/or POM-QM, the forecast for the month of January would be d.In the Petroco Service Station problem, compute an exponentially smoothed forecast with an α value of .50. According to the result from Excel and/or POM-QM, the forecast for the month of August
Given the data, provide the mean accuracy for the first 10% and first 20% of the data selected for a cumulative gain curve, or lift curve, for the particular classifier. Percent of instances Accuracy Confidence 0.05 0.95 0.983 0.05 0.93 0.971 0.05 0.92 0.979 0.05 0.90 0.953 0.05 0.88 0.955 0.05 0.86 0.927
The following gives the number of accidents that occurred on Florida State Highway 101 during the last 4 months: Jan Feb Mar AprMonth 1 2 3 4Number of Accidents 30 40 64 95 Using the least-squares regression method, the trend equation for forecasting is (round your responses to two decimal places): y= + x
For the hawkins company, the monthly percentages of all shipments received on timeover the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84, and 83.a. construct a time series plot. What type of pattern exists in the data?b. compare the three-month moving average approach with the exponential smoothing approach for a = .2. Which provides more accurate forecasts using MSe as themeasure of forecast accuracy?

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