The following time series shows the number of junk email messages that Ashar Nazir has received in each of the most recent seven months.OtTime Series Value1(a) Construct a time series plot.140120100-806040200-Yt 122 111 1020213245 6 797 933 4 5Time Period (t)92 9067What type of pattern exists in the data?O The time series plot shows a linear trend.O The time series plot shows a seasonal pattern.O The time series plot shows a horizontal pattern.O The time series plot shows a nonlinear trend.8Time Series Value14012010080604020-001(c) What is the forecast for t = 8? (Round your answer to one decimal place.)23 4 5 6Time Period (t)78OTime Series Value140-120100-8060402000123 4 5Time Period (t)6(b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. (Round your numerical values to two decimal places.)Yt=78140-12010080t60-40200Time Series Value0123 4 5Time Period (t)678Ⓡ

The time series plot for the given data can be obtained by plotting the pair of points t,Yt. Thus,…

Answered: The following time series shows the…

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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The data for this problem are the air freight shipments (in ton-miles) each month (beginning in January for one year) in the U. S. for 10 years. The following is a time series plot of this data. What are the most important features of this plot? Ton-miles 3000- 2500- 2000- 1500- 1000- 1 Time Series Plot of Ton-miles ܚ ܪܘܐܐܐ ܘ ܚܐ ܀ 12 24 36 48 60 Index 72 84 96 108 120
The following table present quarterly sales for a company over the three years (a) Fit the trend as a linear function of time t and predict the sales for the 4th year? Year 2 Year 3 309 405 326 429 369 446 416 465 quarter 1 2 3 4 Year 1 241 263 273 292
4b62-a72b- Anthony records the number of misspelled words per page in a short story. Below is the data. Provide your answer below: Frequency 14 13 12 13- --12- Make a dot plot that represents the misspelled word data. -11- -10- -9- -8- -7- 1 6- 1 6 LO 5 3 3 4 7 3 4 1 2 6 2 2 1 3 3
A study was conducted to determine whether the final grade of a student in an introductory psychology course is linearly related to his or her performance on the verbal ability test administered before college entrance. The verbal scores and final grades for all 10 students in the class are shown in the table below. Student Verbal Score x Final Grade y 1 68 84 2 47 97 3 80 75 26 68 5 73 93 46 90 7 49 76 8 77 79 9 51 74 10 66 82 Find the following: (a) The correlation coefficient: r = (b) The least squares line: ŷ = (c) Calculate the residual for the fourth student:
Centerville Bikes and Stuff (CBS) sells motorcycles and accessories. The number of helmets sold by CBS per week for the past six weeks follows. Week 1 2 3 4 5 6 Value 17 12 14 10 16 13 (a) Construct a time series plot. A graph has a horizontal axis labeled "Week" with values from 0 to 7 and a vertical axis labeled "Time Series Value" with values from 0 to 20. The time series plot contains a series of 6 points connected by line segments. The segments and the approximate points they connect are as follows. The segments start at (1, 17), go down and right to (2, 12), go up and right to (3, 14), go down and right to (4, 10), go up and right to (5, 16), and go down and right to stop at (6, 13). A graph has a horizontal axis labeled "Week" with values from 0 to 7 and a vertical axis labeled "Time Series Value" with values from 0 to 20. The time series plot contains a series of 6 points connected by line segments. The segments and the approximate points they connect…
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.
A financial analyst is examining the relationship between stock prices and earnings per share. She chooses sixteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the past 12 months. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1. Also given is the product of the earnings per share and the current stock price for each of the sixteen stocks. (These products, written in the column labelled "xy ", may aid in calculations.) Earnings per share, x (in dollars) 36.79 49.84 30.65 30.17 17.66 57.66 37.98 20.65 58.67 13.52 41.83 39.28 43.73 Current stock price, y (in dollars) 1.43 1.56 0.81 1.40 0.77 2.64 1.11 0.70 2.18 0.41 1.80 1.05 1.63 ху 52.6097 77.7504 24.8265 42.238 13.5982 152.2224 42.1578 14.455 127.9006 5.5432 75.294 41.244 71.2799 Current stock…
a. Obtain the linear trend equation for the following data on new checking accounts at Fair Savings Bank and use it to predict expected new checking accounts for periods 16 through 19. (Round your intermediate calculations and final answers to 2 deci places.) Period New Accounts Period, New Accounts Period New Accounts 1 2 3 4 Y Y16 Y17 Y18 Y19 200 214 211 220 235 6 7 8 9 10 237 248 250 258 267 11 12 13 14 15 281 275 287 288 316
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1. A researcher is interested in knowing if there is a relationship between the years presented in the table below and the average number of people in a family receiving welfare benefits. Year Average Family Size 1969 4.0 1973 3.6 1975 3.2 1979 3.0 1983 3.0 1988 3.0 1991 2.9 a. What are your conclusions and observations about the relationship between the two variables b.What is the value of the intercept a? c. What is the value of the slope b? d. Write the linear regression equation
A financial analyst is examining the relationship between stock prices and earnings per share. She chooses fifteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the past 12 months. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1. Also given is the product of the earnings per share and the current stock price for each of the fifteen stocks. (These products, written in the column labelled "xy ", may aid in calculations.) Earnings per Current stock price, y (in dollars) share, x (in dollars) xy 37.59 1.19 44.7321 y 56.02 2.70 151.254 20.21 0.75 15.1575 X 41.33 0.91 37.6103 19.90 0.63 12.537 58.72 2.37 139.1664 43.33 1.45 62.8285 42.61 1.77 75.4197 13.72 0.52 7.1344 37.29 1.39 51.8331 30 30.12 0.93 28.0116 49.34 1.59 78.4506 Earnings per share (in…
A financial analyst is examining the relationship between stock prices and earnings per share. She chooses fifteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the past12 months. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1. Also given is the product of the earnings per share and the current stock price for each of the fifteen stocks. (These products, written in the column labelled " xy Earnings per share, x (in dollars) Current stock price, y (in dollars) xy 49.65 1.53 75.9645 27.34 1.09 29.8006 36.07 1.47 53.0229 21.11 0.70 14.777 58.19 2.32 135.0008 58.32 2.86 166.7952 43.48 1.08 46.9584 18.20 0.85 15.47 41.85 1.68 70.308 32.39 1.68 54.4152 30.67 1.34 41.0978 42.03 1.54 64.7262 15.56 0.54 8.4024…

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