# Analysis of Website User Growth from 2004 to 2011The data presented in the table below shows the number of users (in millions) of a certain website over a span of eight years, from 2004 through 2011.| Year | Period | Users (Millions) ||------|--------|------------------|| 2004 | 1 | 1 || 2005 | 2 | 6 || 2006 | 3 | 11 || 2007 | 4 | 59 || 2008 | 5 | 146 || 2009 | 6 | 359 || 2010 | 7 | 608 || 2011 | 8 | 845 |### (a) Construct a Time Series PlotThe diagrams provided below illustrate different types of time series plots that represent user growth over the periods.1. **Graph 1**: Depicts a downward linear trend.2. **Graph 2**: Shows an upward linear trend.3. **Graph 3**: Indicates a downward curvilinear trend.4. **Graph 4**: Displays an upward curvilinear trend.The accurate representation of the data should match the significant increase in users over time.### Identifying Patterns**Question:** What type of pattern exists?- The time series plot exhibits a downward curvilinear trend.- The time series plot exhibits an upward linear trend.- The time series plot exhibits a downward linear trend.- The time series plot exhibits an upward curvilinear trend.The correct pattern based on the data provided is an upward curvilinear trend.### (b) Forecasting UsersUsing Minitab or Excel, develop a quadratic trend equation to forecast users (in millions). Round numerical values to one decimal place.\[ T_t = \]Enter the derived quadratic equation here. This equation will help predict future user numbers based upon the historical data trends observed.

Excel Procedure: Enter period and users in Excel sheet>Select period and users>Insert…

Answered: The number of users of a certain…

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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Please answer 2, 4, 5 and 6
a. Compute a three-period moving average for these stock prices (in R, order = 3). What are the first two moving average values? (Round your answer to two decimal points) First: $ Second: $
An annual marathon covers a route that has a distance of approximately 26 miles. Winning times for this marathon are all over 2 hours. The following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. Earlier Period 6 22 23 14 15 20 15 18 7 18 15 10 10 14 16 12 23 13 16 16 Recent Period 8 8 7 9 9 10 8 14 8 11 14 7 9 9 10 7 7 8 9 9 (a) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. Use two lines per stem. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks Minutes Beyond 2 Hours Earlier Period 0 NONE 0 6,7 1 ? 1 ? 2 0,2,3,3 2 NONE (b) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. Use two lines per stem. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Minutes Beyond 2 HoursRecent Period…
What is the answer to this question? Find the y-intercept, find the known year data find if it’s first or last , and then find the year acts.
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…
Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Week Sales (1,000s of gallons) 1 18 2 22 3 20 4 24 5 19 6 16 7 21 8 19 9 22 10 20 11 15 12 23 (a) Compute four-week and five-week moving averages for the time series. Week Time Series Value 4-Week Moving Average Forecast 5-Week Moving Average Forecast 1 18 2 22 3 20 4 24 5 19 6 16 7 21 8 19 9 22 10 20 11 15 12 23 (b) Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.) Compute the MSE for the five-week moving average forecasts. (Round your answer to two decimal places.) (c) What appears to be the best number of weeks of past data (three, four, or
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…
The following data show the number of rental cars in service for three rental car corporations: Henz, Avis and Dollar. The data are for the years 2007-2010 and are in thousands of vehicles (auto Rental News website, May 15, 2011) Company 2007 2008 2009 2010 Hentz 327 311 286 290 Dollar 167 140 106 108 Avis 204 220 300 270 Construct a time series graph for years 2007 and 2010 showing the number of rental cars service for each company. Show the time series for all three companies on the same graph Comment on who appears to be the market share leaders and how market shares are changing over time. Construct a bar chart showing rental cars in service for 2010. Is this chart based on cross sectional or time series data?
L1Q6.
A sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is ý = 82 + 4x. Years of Experience Annual Sales ($1,000s) Salesperson 1 80 97 3 97 4 107 103 6 8 116 10 119 8 10 118 11 127 10 13 136 (a) Compute the residuals. Years of Experience Annual Sales ($1,000s) Residuals 1 80 -5 97 4 4 97 4 107 5 6 103 |-2 8 116 |-2 10 119 |-2 10 118 7 11 127 |-8 13 136 3 Construct a residual plot.
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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