Consider the following time series.124710101416(a) Choose the correct time series plot.(i)(ii)16161414121210104422124513.4t(iii)(iv)1616141412121010414512345Plot (i)What type of pattern exists in the data?Positive trend pattern (b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.If required, round your answers to two decimal places.y-intercept, bo =4.80Slope, bi =2.2MSE =0.93(c) What is the forecast for t = 6?If required, round your answer to one decimal place.18.0

t yt 1 7 2 10 3 10 4 14 5 16 a) Hence the option is 1.

Answered: Consider the following time series. 1 3…

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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(a)
A statistical program is recommended. Suppose the following data shows a company's annual revenue from 2008 (period 1) to 2017 (period 10) in billions of dollars. ● Year Period 2008 2009 2010 T₂= 2011 2012 2013 2014 2015 2016 2017 120 100 80- 60 40 20 1 0 2 3 3 4 (a) Construct a time-series plot. 5 6 7 9 10 Annual Revenue ($ billions) $22.80 $24.65 $28.32 $37.91 $50.18 $54.50 $66.00 $73.99 $90.27 $110.86 01 1 2 3 4 5 6 7 8 9 10 11 Period What type of pattern exists? O The time series plot shows a horizontal pattern. O The time series plot indicates a linear pattern. O The time series plot shows a cyclical pattern. The time series plot indicates curvature in the data. 0 120 100 80+ 60 40 20- 0 0 1 2 3 5 6 7 8 9 10 11 Period 45 (b) Develop a quadratic trend equation. (Round your numerical values to four decimal places.) 120T 100 80 60 40 20+ 0 01 1 2 3 4 5 6 7 8 9 10 11 Period ✔ 120 100 80 60 40- 20+ 0 0 1 2 3 4 5 6 7 8 9 10 11 Period 0
Consider the following time series data: 5 Month Value 1 36 2 19.5 8 30 9 4 18 10 28.5 11 6 34.5 12 7 22.5 13 For the naïve forecasting method and the MA2 forecasting method complete the following table: 14 15 Forecasting Method MAE MSE МАРЕ 16 Naïve 17 MA2 18 19 Based on the relative forecast error reported here which of the two forecasted methods would you choose. 20 21 22 23 24 25 26
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Question 1: can you answer all the parts to this question with the answer in bold
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Consider the following data: Month Profit ($) Answer Monthly Profit of an Auto Repair Shop Jan-14 Feb-14 Mar-14 Apr-14 May-14 Jun-14 Jul-14 Aug-14 Sep-14 15,608 15,758 14,555 16,612 18,263 17,160 19,147 18,413 20,194 Step 2 of 4: Determine the three-period weighted moving average for the next time period with weights of 3 (most recent), 2 (second latest time period), and 1 (oldest time period). If necessary, round your answer to one decimal place. Keypad Keyboard Shortcuts Tables
Question 3 A statistics instructor at a large western university would like to examine the relationship (if any) between the number of optional homework problems students do during the semester and their final course grade. She randomly selects 12 students for study and asks them to keep track of the number of these problems completed during the course of the semester. At the end of the class each student's total marks is recorded along with their final grade. The data follow in Table 2. Table 2 Problem Course Grade 62 51 58 62 68 66 65 68 76 77 66 67 72 73 72 78 73 76 78 78 84 85 91 75 Use the regression equation to preaict a student's final course grade if 75 optional homework assignments are done. ix. Use the regression equation to compute the number of optional homework assignments that need to be completed if a student expects an 85. vii.
Week 1 2 3 4 5 6 Value 18 13 16 11 17 14 Using the naive method (most recent value) as the forecast for the next week, compute the following measures of forecast accuracy. d. What is the forecast for week 7 (to 2 decimals)?
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Consider the following time series. 1 3 4 Yt 10 10 14 16 (a) Choose the correct time series plot. (i) (ii) 16 16 14 14 12 12 10 10 2 3 4 2 3. 4 (iii) (iv) 16 16 14 14 12 12 10 10 4 2 1. 2 3. 4 1 2 3. Plot (i) What type of pattern exists in the data?