Wk 6 discussion

Year Quarter Revenue Q1 4.80 Q2 4.56 2015 Q3 4.88 Q4 4.91 Q1 5.37 Q2 4.99 2016 Q3 5.24 Q4 5.71 Q1 5.73 Q2 5.29 2017 Q3 5.66 Q4 5.70 Q1 6.07 Q2 6.03 2018 Q3 6.31 Q4 6.30 Q1 6.60 Q2 6.31 2019 Q3 6.82 Q4 6.75 Q1 7.10 Q2 6.00 2020 Q3 4.20 Q4 6.20

Decomposition of a time series of a souvenir shop's sales is shown in the plot below. Choose all of the following which are true for this time series Select one or more: a. The sales peak right before new year's b. There are quarterly (3-monthly) seasonal cycles in this tie series c. There is an increase trend in the time series d. This time series is not stationary e. There is no seasonality in this time series

A5

D. MoviefliX, an online movie streaming service that offers a wide variety of award-winning TV shows, movies, animes, and documentaries would like to determine the mathematical trend of memberships in order to project future needs. Year 2013 2014 2015 2016 2017 2018 2019 2020 2021 Membership 17 16 16 21 20 20 23 25 24 (000s) (i) Use the following time series data, to develop a regression equation relating memberships to time. (ii) Forecast 2023 membership.

You are given the following dataset from a sample of the population.  Superhero Number of Villains Captured Number of Losses  Average Hours of  Sleep Spiderham 30 9 12 Alligator Loki 50 1 23 Iron Man 20 8 6 Phil Coulson 18 2 8 Yelena Belova 25 5 2 Round all answers to 2 decimal places. IE: 3.567 = 3.57 A. What kind of dataset is this?  Answer either Panel, Time series, or cross sectional B. Calculate the average number of villains captured in this sample.   C. Calculate the variance of the number of villains captured in this sample.     D. Calculate the correlation between the number of villains captured and average hours of sleep  . If answer is negative, include negative sign. E. Calculate the sample covariance between the average number of losses and average hours of sleep  . If answer is negative, include negative sign.

The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 Let f(t) be the number of polio cases in the world t years since 1980. Use a graphing calculator to draw a scattergram of the data. Is it better to model the data by using a linear or exponential model? Select an answer Find an equation of f. Hint f(t) = 350 138 33 4 3.2 1.3 The number of polio cases Select an answer Hint Round the coefficients to 2 digits. Predict the number of polio cases in 2017. years by Select an answer Predict in which year there will be 1 case of polio. Find the approximate half-life of the number of polio cases. Hint per year.

Do not solve list all the variables objective function and contraints                                  ASW Publishing, Inc., a small publisher of college textbooks, must make a decision regarding which books to publish next year. The books under consideration are listed in the following table, along with the projected three­year sales expected from each book.     Book Subject Type of Book Projected Sales (000s)   Business calculus New 20   Finite mathematics Revision 30   General statistics New 15   Mathematical statistics New 10   Business statistics Revision 25   Finance New 18   Financial accounting New 25   Managerial accounting Revision 50   English literature New 20   German New 30   The books that are listed as revisions are texts that ASW already has under contract; these texts are being considered for publication as new editions. The books that are listed as new have been reviewed by the company, but contracts have not yet been signed.The company has three individuals who can…

Only typed answer and please don't use chatgpt

Question 2 For each of the following variables, indicate whether the data are time series or cross-sectional. v Spending on household goods recorded monthly. A. time series v The annual percentage change in the population of Houston recorded over the last 10 B. cross-sectional years. v The percentage of adults 25-40 who report using online bil payment methods. v The number of students at a university who use the on-campus health and recreation center each day, recorded over a semester. Revenue for the month of August in 2016 for all Starbucks locations in the Houston area. v A data set created today by a credit card bank showing the total spending of each of its customers for the last three months.

Sediment buildup behind a dam can adversely affect a reservoir's storage capacity. Measurements of a reservoir in 1988 showed it had a capacity of 500,000 acre-feet of water. Measurements in 2018 showed that the reservoir's capacity has been decreasing at a rate of 2,000 acre-feet per year. Find a linear model of the number of acre-feet A of water in the reservoir n years after 1988.

For the past 10 years, you have been observing the sales of your company since you embarked on an aggressive advertising campaign. You have been recording the amounts spent on advertising and the corresponding sales as follows: Year Advert (X) Sales (Y) 2001 10 44 2002 9 40 2003 11 42 2004 12 46 2005 11 48 2006 12 52 2007 13 54 2008 13 58 2009 14 56 2010 15 60   You would like to determine whether a relationship exists between your two variables of interest and therefore decide to run a regression. Use an econometric package of your choice (EViews, SPSS, STATA etc) to estimate the model. From the regression output, report the coefficients, standard errors, t-statistics, probability and R-squared (report the results in a table). Re-write the specified model in (a) with values from the regression results and interpret the coefficients.

For the past 10 years, you have been observing the sales of your company since you embarked on an aggressive advertising campaign. You have been recording the amounts spent on advertising and the corresponding sales as follows: Year Advert (X) Sales (Y) 2001 10 44 2002 9 40 2003 11 42 2004 12 46 2005 11 48 2006 12 52 2007 13 54 2008 13 58 2009 14 56 2010 15 60   You would like to determine whether a relationship exists between your two variables of interest and therefore decide to run a regression. a) Specify the estimation model you will use (the econometric form).b) Re-write the specified model in (a) with values from the regression results and interpret the coefficients.

Define Nonstationarity? Explain the two most important types of nonstationarity in economic time series data?

For each of the following variables, determine whether the variable is categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. In addition, determine the measurement scale. a. Time, in hours, spent working per month b. Name of a household's cable television provider c. Number of online purchases made in a month d. Satisfaction rating of a cable television provider (from low to high) e. Time, in hours, spent surfing the Internet per month a. Time, in hours, spent working per month is what kind of variable? O A. This variable is a continuous numerical variable that is ratio-scaled. O B. This variable is a discrete numerical variable that is ratio-scaled. OC. This variable is a discrete numerical variable that is interval-scaled. O D. This variable is a categorical variable that is ordinal-scaled. O E. This variable is a categorical variable that is nominal-scaled. O F. This variable is a continuous numerical variable that is…

P'On the basis of quarterly sales (in $ lakhs) of a certain commodity for the years 2001-2003 Trend: the following calculations were made : y = 25-0 + 0-6t, with origin at 1st quarter of 2001, where t = time units (one quarter), and y= quarterly sales $ lakhs). Seasonal variations: Quarter 1st 2nd 3rd 4th Seasonal index 90 95 110 105 Estimate the quarterly sales for the year 2002 (use multiplicative model).

List four main reasons and explain why empirical research often involves taking natural logarithmic transformation for time series analysis?

Topic: Simple Regression

Describe A time-ordered sequence of observations taken at regular intervals.

Why is base 10 logarithm (log) derived as a natural logarithm (1/x2)? Please confirm that derivate of logarithm of base 10 is in this case 1/[x2*log(10)] to modify your answer. Thank you

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not use ai please

Stores commonly offer a cheaper unit price for large quantity purchases. Quantity 1 2 5 10 20 Unit Price $100.00 $80.00 $70.00 $50.00 $40.00 a. Use regression to find a logarithmic equation to model the data. Round the numbers in your equation to 2 decimal places. y = a + bln(z) with You b b. Use your equation to find an appropriate unit price for a customer who purchases 15 items. c. Use your equation to find an appropriate unit price for a customer who purchases 25 items. $

Ypsilanti Market Research conducted a survey to find out whether people who earn more money purchase more expensive goods. The following graph indicates the relationship between income the survey subjects earned and the price of the car that they purchased. The variable shown on the vertical axis is __________ (options: thousands of dollars per car, thousands of dollars per year, income, thousands of dollars, price, number of goods).   The units for the variable on the horizontal axis are _________ (options: thousands of dollars per car, thousands of dollars per year, income, thousands of dollars, price, number of goods).   There are two ways to view the information presented on the graph. First, the graph tells us the amount a person with a certain income is likely to spend on a car, and second, it tells us the probable income of a person who spent a certain amount on a car. For example, if an individual earned $50,000 last year and purchased a new car, you would expect that person to…

compare the results of this graph for small vs large time windows. ( the first graph= small time window, 2nd graph = large time window)

Q. Rubax, a U.S. manufacturer of athletic shoes, estimates the following linear trend model for show sales:  Qt = a + bt + c1D1 + c2D2 + c3D3 Qt = sales of athletic shoes in the tth quarter t = 1, 2,..., 28 [2014(I), 2014(II),....,2020[IV)] D1 = 1 if t is quarter I (winter); 0 otherwiseD2 = 1 if t is quarter II (spring); 0 otherwiseD3 = 1 if t is quarter III (summer); 0 otherwise The regression analysis produces the following results:  a. Is there sufficient statistical evidence of an upward trend in shoe sales? b. Do these data indicate a statistically significant seasonal pattern of sales of Rubax shoes? If so, what is the seasonal pattern exhibited by the data? c. Using the estimated forecast equation, forecast sales of Rubax shoes for 2021(III) and 2022(II).  d. How might you improve this forecast equation? Thank you!

1. Solve the following problem by using Excel for graph sketching. A soda vendor at Louisiana State University football games observes that more sodas are sold the warmer the temperature at game time is. Based on 32 home games covering five years, the vendor estimates the relationship between soda sales and temperature to be y = -240 + 8x, where y = the number of sodas she sells and .x = temperature in degrees Fahrenheit, (a) Interpret the estimated slope and intercept. Do the estimates make sense? Why, or why not? (b) On a day when the temperature at game time is forecast to be 80°F, predict how many sodas the vendor will sell. (c) Below what temperature are the predicted sales zero? (d) Sketch a graph of the estimated regression line.

Q. 1B. Clearly explain in détail why logarthmic and dummy variables are regularly used in Time series Econometrics ?

Fixed effects model with three time periods Consider the following general fixed effects model for use with a panel data set with three time periods (T = 3): yir = 51 +82 d2: +63 d31 + ẞ1x11 + ... + ẞkxisk + Vit where, for t=1, 2, 3, and time period 1 is the base year: yir = value of dependent variable y for i, in year t, in pounds d2, 1 in the second time period (t = 2), and 0 otherwise d3, =1 in the third time period (t = 3), and 0 otherwise Xirl,..., Xink value of explanatory variables for individual i at time f Vir = composite error consisting of the unobserved, time-constant effect (a) and the idiosyncratic error (uir) If there are 106 cross-sectional units in your balanced panel data set, then the total number of observations you have in your data set is For the first time period (1), the intercept is Which of the following would cause pooled OLS estimation of the model to yield biased and consistent estimators? Check all that apply. Measurement error in any explanatory variable…

Time left U:18:05 CLEAR MY CHOICE Finish a Question Consider the following model Y=B1+B2 X2 +e. Assume you change the scale of the y and X variables in such a way that Not yet Y*=aY and X2*=bX2. and you run the regression Y*=B1*+B2* X". What effect this scaling will have on answered the slope Marked out of 1.00 Select one: P Flag O a. B2=a+b (B2) question O b. B2*=a/b^2 (B2) O c. B2*-ab (B2) O d. B2*=a/b (B2) NEXT PAGE PREVIOUS PAGE