Please solve part a only in 20 minutes 4.(a)Log-linear models are often used to model contingency tables. Interms of table and model counts for a two-way table, what is thesignificance of including (i) an intercept? (ii) an intercept andprecisely one factor? (iii) an intercept and both main factors?(b) A market researcher is interested in the factors that might effectmovie ratings and has found the following table that gives thenumber of films by category of ratings and film release year,2000 2005 2010 20157.5 – 7.75423739267.75 – 8374540398 - 8.25151116118.25 – 8.58678Columns two through to four are the first year of the five yearperiod during which the films were released. Rows two through tofour are the category of film rating scores.The market research calculated two log-linear models (below) thefirst with both factors included and the second with just the ratingsfactor.

Given information: 2000 2005 2010 2015 7.5 to 7.75 42 37 39 26 7.75 to 8 37 45 40 39 8 to…

Answered: Log-linear models are often used to…

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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Two pumps capable of delivering 100 hp to an agricultural application are being evaluated in a present economy study. The selected pump will only be utilized for one year, and it will have no market value at the end of the year. Pertinent data are summarized as given follows. If electric power costs $0.10 per kWh and the pump will be operated 4,000 hours per year, which pump should be chosen? Recall that 1 hp = 0.746 kW.
Why is it that one person may tend to gain weight, even if he eats no more and exercises no less than a slim friend? Recent studies suggest that the factors that control metabolism may depend on your genetic makeup. One study involved 11 pairs of identical twins fed about 1000 calories per day more than needed to maintain initial weight. Activities were kept constant, and exercise was minimal. At the end of 100 days, the changes in body weight (in kilograms) were recorded for the 22 twins. 1616 Is there a significant positive correlation between the changes in body weight for the twins? Can you conclude that this similarity is caused by genetic similarities? answer only
The attached table contains quarterly data on three such external variables (x1, x2, and x3) and the price y of Ford Motor Company’s common stock (adjusted for stock splits). The Japanese yen exchange rate, x1, measures the strength of the yen versus the US dollar. The higher the rate, the cheaper are Japanese imports – such as the automobiles of Toyota, Nissan, Honda, and Subaru – to US consumers. Similarly, the higher the deutsche mark exchange rate, x2, the less expensive are BMW’s and Mercedes Benz’s to US consumers. Finally, the S&P 500 Index, x3, is a general measure of the performance of the market for stocks in US firms. Answer the questions below using the critical value approach and/or the p-value approach Date Ford stock Price y Japanese Yen x1 Deutsche Mark x2 S&P500 x3 1992.1 38.3 133.2 1.64 407.36 1992.2 45.2 125.5 1.53 408.21 1992.3 39.4 119.2 1.41 418.48 1992.4 42.7…
The attached table contains quarterly data on three such external variables (x1, x2, and x3) and the price y of Ford Motor Company’s common stock (adjusted for stock splits). The Japanese yen exchange rate, x1, measures the strength of the yen versus the US dollar. The higher the rate, the cheaper are Japanese imports – such as the automobiles of Toyota, Nissan, Honda, and Subaru – to US consumers. Similarly, the higher the deutsche mark exchange rate, x2, the less expensive are BMW’s and Mercedes Benz’s to US consumers. Finally, the S&P 500 Index, x3, is a general measure of the performance of the market for stocks in US firms. Answer the questions below using the critical value approach and/or the p-value approach Date Ford stock Price y Japanese Yen x1 Deutsche Mark x2 S&P500 x3 1992.1 38.3 133.2 1.64 407.36 1992.2 45.2 125.5 1.53 408.21 1992.3 39.4 119.2 1.41 418.48 1992.4 42.7…
You run a Pharmacy and have to decide how many packets of face masks to order for resale during this Corona virus pandemic period. You can only order in batches of 100. If only 100 batches are ordered, it will cost K10 per unit, if 200 or more, K9 per unit; and if 300 or more, it will cost K8.50 per unit. The results of a market survey you conducted show that the potential levels of demand are 100, 150, or 200; at 50%, 20%, and 10% probability, respectively. The selling price is K15 per unit and any stock unsold by the end of peak period for the pandemic will be sold for half the price. There is a cost of K0.55 per unit for any stock-outs experienced. Required: Using Microsoft Excel: Calculate the EMV of each alternative order level and the recommended order level. What is the net earnings at the recommended order level? Determine the order level at which net earnings are zero (breakeven order level).
A manufacturer wants to optimize its shipment of goods to its customers. To minimize their turnover time and avoid building up stocks that add costs, the wholesaler wants to know if weather conditions are important in determining the type of shoe demanded. Specifically, he would like to know if high temperatures affect the sale of closed, rubber-heeled walking shoes. He the data showing the temperature recorded at the location of its retail shops, as well as their record of sales of goods, during each day of the past year. What type of analysis should he conduct? What variables should be considered? Explain.
An economist at Nedbank ran a study of the relationship between FTSE/JSE All Shares index return (JALSH) and consumer price index (CPI) from 2006 to 2017, the data collected is shown in the Table 1 below. FTSE/JSE All Shares index return (JALSH) and consumer price index (CPI) from 2006 to 2017. Year JALSH (Y) CPI (X) 2006 0.41 4.7 2007 0.19 7.1 2008 -0.23 11.5 2009 0.32 7.1 2010 0.19 4.3 2011 0.03 5.0 2012 0.27 5.6 2013 0.21 5.7 2014 0.11 6.1 2015 0.05 4.6 2016 0.00 6.4 2017 0.21 5.3 The estimated regression…
In economics we are often faced with causal problems where the endogeneity arises because of simultaneity. A classic example is that if you are interested in estimating a demand curve, the issue is what you observe in the data are equli- birum and prices and quantity which is not only a function of demand but also a function of supply. In this excercise we will generalize the problem of simultaneity bias. Consider a situation where we are interested in the effect of Ti on Yi, i.e. obtaining a consistent estimate of α. But Yi also effects Ti. Let Xi be some exogenous covariates affecting both Yi and Ti. Let us imagine you have an exogenous variable Z which only effects Ti but does not directly effect Yi. In particular, consider the following structural equations: Yi = αTi+Xi′β+ui (1) Ti = ρYi+Xi′γ+Ziδ+νi (2) where E(ui | Xi,Zi) = 0 and E(vi | Xi,Zi) = 0 (a) Show why you cannot you use OLS to estimate α consistently in model 1? (b) Solve for the reduced form equation for Ti…
Suppose a manufacturer and its retailer face the problem of double marginalization described in my notes, Section 11.1. If the manufacturer sets the wholesale price equal to its marginal cost c and in addition, requires the retailer to pay a fraction α (between 0 and 1) of its profit. 4.a Write down the retailer’s profit maximization problem. Will this practice solve the double marginalization problem? (That is, will this practice maximize their joint profit?) 4.b Suppose the retailer is required to pay a fraction of α of its sales (i.e., total revenue). Write down the retailer’s profit maximization problem. Will this practice solve the double marginalization problem? I am posting chaper 11.1 notes below:
In order to get toys in its stores by October, Specialty places one-time orders with its manufacturers in June or July of each year. Demand for children’s toys can be highly volatile. If a new toy catches on, a sense of shortage in the marketplace often increases the demand to very high levels and large profits can be realized. On the other hand, new toys can also flop, leaving Specialty stuck with high levels of inventory that must be sold at reduced prices. The most important question the company faces is deciding how many units of a new toy should be purchased to meet expected sales demand. If too few are purchased, sales will be lost; if too many are purchased, profits will be reduced because of low prices realized in clearance sales. 1. Use the sales forecaster’s prediction to describe a normal probability distribution that can be used to approximate the demand distribution. Sketch the distribution and show its mean and standard deviation. 2. Compute the probability of a stock-out…
First Securities, Inc., an investment firm, has $380,000 on account. The chief investment officer would like to reinvest the $380,000 in a portfolio that would maximize return on investment while at the same time maintaining a relatively conservative mix of stocks and bonds. The following table shows the investment opportunities and rates of return. Investment Opportunity Rate of Return Municipal Bonds (X1) 0.095 High Tech Stock (X2) 0.146 Blue Chip Stock (X3) 0.075 Federal Bonds (X4) 0.070 a) The Board of Directors has mandated that at least 60 percent of the investment consist of a combination of municipal and federal bonds, at least 25 percent Blue Chip Stock, no more than 30 percent High Tech and Blue Chip Stock, and no more than 15 percent High Tech Stock. Based on above problem, how many constraints are in this problem? A) 3 B) 4 C) 5 D) 2 b) Based on part a, which of the…
In a study of the lung function of children, the volume of air exhaled under force in one second is called FEV1. (FEV1 stands for forced expiratory volume in one second.) Measurements were made on a group of children each year for two years. A linear model was fit to predict this year’s FEV1 as a function of last year’s FEV1 (in liters), the child’s gender (0 = Male, 1 = Female), the child’s height (in m), and the ambient atmospheric pressure (in mm). To try to improve the prediction of FEV1, additional independent variables are included in the model. These new variables are Weight (in kg), the product (interaction) of Height and Weight, and the ambient temperature (in °C). The following MINITAB output presents results of fitting the model FEV1 = β0 + β1 Last FEV1 + β2 Gender + β3 Height + β4 Weight + β5 Height · Weight + β6 Temperature + β7 Pressure + ε a) The F statistic is? b) How many degrees of freedom does the F statistic have? c) Find the P-value for the F statistic. Is the…

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