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- Consider data on every game played by the Brooklyn Nets in 2014 (82 games) that includes the variables margin; - the Net's margin of victory (number of points the Nets scored minus the number of points their opponent scored) for game i, and • home; - a dummy variable equal to 1 when the Nets are the home team (game i was played in their home arena) and equal to 0 when they are the away team (game i was played in the opponent's arena). I use the least-squares method to estimate the following regression model margin = a + ßhome; + ei Below is the Stata output corresponding to the estimated regression line: regress margin home if team==== "Brooklyn Nets" Source Model Residual Total margin home _cons SS 1459.95122 15252.0488 16712 df 1 80 Coef. Std. Err. MS 81 206.320988 8.439024 3.049595 -5.219512 2.156389 1459.95122 190.65061 t Number of obs F (1, 80) Prob > F R-squared. Adj R-squared = Root MSE P>|t| 2.77 0.007 -2.42 0.018 82 7.66 0.0070 0.0874 0.0760 13.808 [95% Conf. Interval]…The Duff brewery changes the set of prizes, which are now monetary: X = {0, 10, 20}. There are three lotteries: 5 3 4 9. 12' 12' 12, 2 1 and r = 4 3 p = 12' 12' 12), q = 12' 12' 12,6. Consider a coffee shop that uses a single-server queue. The inter-arrival time is exponentially distributed with a mean of 10 minutes and the service time is also exponentially distributed with a mean of 8 minutes. Calculate the: (i) mean wait in the queue (2) (ii) mean number in the queue (2) (iii) the mean wait in the system (2) (iv) mean number in the system (2) (v) proportion of time the server is idle. (2) [10] 7. The arrival of customers at a bank follows a Poisson distribution with a mean arrival rate of 10 customers per hour. The service time at the bank follows an exponential distribution with a mean service rate of 6 minutes per customer. Calculate the average number of customers in the system (including those being served and waiting) and the average time a customer spends in the system. How is the system performing? [8]
- Second, the researcher wishes to use graphical descriptive methods to present summaries of the data on each of the two variables: hours worked per week and yearly income, as stored in file HOURSWORKED.xls. Hours Per Week Yearly Income ('000's) 18 43.8p 13 44.5 18 44.8 25.5 46.0 11.5 41.2 18 43.3 16 43.6 27 46.2 27.5 46.8 30.5 48.2 24.5 49.3 32.5 53.8 25 53.9 23.5 54.2 30.5 50.5 27.5 51.2 28 51.5 26 52.6 25.5 52.8 26.5 52.9 33 49.5 15 49.8 27.5 50.3 36 54.3 27 55.1 34.5 55.3 39 61.7 37 62.3 31.5 63.4 37 63.7 24.5 55.5 28 55.6 19 55.7 38.5 58.2 37.5 58.3 18.5 58.4 32 59.2 35 59.3 36 59.4 39 60.5 24.5 56.7 26 57.8 38 63.8 44.5 64.2 34.5 55.8 34.5 56.2 40 64.3 41.5 64.5…Is age normally distributedConsider data on every game played by the Brooklyn Nets in 2014 (82 games) that includes the variables margin, - the Net's margin of victory (number of points the Nets scored minus the number of points their opponent scored) for game i, and • home; - a dummy variable equal to 1 when the Nets are the home team (game i was played in their home arena) and equal to 0 when they are the away team (game i was played in the opponent's arena). I use the least-squares method to estimate the following regression model margin = a + ßhome; + ei Below is the Stata output corresponding to the estimated regression line: regress margin home if team===== "Brooklyn Nets" . Source Model Residual Total margin home _cons SS 1459.95122 15252.0488 16712 df 1459.95122 1 80 190.65061 None of the above 81 206.320988 Coef. Std. Err. 8.439024 3.049595 -5.219512 2.156389 MS t Number of obs F(1, 80) Prob > F R-squared O The Nets lost more games than they won in 2014 P>|t| 2.77 0.007 -2.42 0.018 Adj R-squared = Root…
- Estimate MSE of variance for x and YSuppose the linear relationship between traffic violations and auto insurance premium has SSR of 2825 and SST of 3150. What percent of the insurance premium is unexplained by traffic violation?A construction company renovates old homes at Garden East in Karachi. Over the time, the company has found that its rupee volume of renovation work is dependent on the area’s payroll. The figures for the company’s revenues and the amount of money earned by wage earners in the area for the past six years are presented in Table 3. If the payroll for next year is expected to be PKR 600 thousand, then what is the predicted value for the company’s sales (include error of prediction in your answer)? Do this for all prediction models. Local Payroll (PKR 100,000/=) Company’s sales (PKR 100,000/=) 3 6 4 8 6 9 4 5 2 4.5 5 9.5 ii) If in part a (above), if we add another input variable along with Local Payroll, then we will obtain a multiple regression model for predicting Company’s sales. How should the correlation between the…
- A purchasing agent obtained samples of 60 watt bulbs from two companies. He / She had the sample tested in his own laboratory for length of life with the following results: Samples from Length of life (in hours) Company A Company B 1700 and under 1900 10 3 1900 and under 2100 16 40 2100 and under 2300 20 12 2300 and under 2500 8. 3 2500 and under 2700 6. (i) Identify which company's bulbs are better in terms of average life? (ii) If prices of both types are the same, select which company’s bulbs you will prefer to collect.Third, the researcher wishes to use numerical descriptive measures to summarise the data on each of the two variables: hours worked per week and yearly income. Hours per week Yearly Income ('000's) 18 43.8p 13 44.5 18 44.8 25.5 46.0 11.5 41.2 18 43.3 16 43.6 27 46.2 27.5 46.8 30.5 48.2 24.5 49.3 32.5 53.8 25 53.9 23.5 54.2 30.5 50.5 27.5 51.2 28 51.5 26 52.6 25.5 52.8 26.5 52.9 33 49.5 15 49.8 27.5 50.3 36 54.3 27 55.1 34.5 55.3 39 61.7 37 62.3 31.5 63.4 37 63.7 24.5 55.5 28 55.6 19 55.7 38.5 58.2 37.5 58.3 18.5 58.4 32 59.2 35 59.3 36 59.4 39 60.5 24.5 56.7 26 57.8 38 63.8 44.5 64.2 34.5 55.8 34.5 56.2 40 64.3 41.5 64.5 34.5 64.7 42.3 66.1 34.5 72.3 28 73.2 38…Asset W has expected return of 11.6% and a beta of 1.23. If the risk free rate is 3.15%, complete the following table for portfolios of asset W, and a risk free asset. Illustrate the relationship between portfolio, expected return and portfolio beta by plotting the expected returns against the betas in a graph. What is the slope of the line that results? Results are in the table I just need the excel graph!!!! Percentage of portfolio asset in W. Portfolio expected return. Portfolio beta. 0% = (0 x 0.116) + (1 x 0.0315) = 3.15% 0 25% = (0.25 x 0.116) + (0.75 x 0.0315) = 5.26% = 1.23 x 0.25 = 0.3075 50% = (0.50 x 0.116) + (0.50 x 0.0315) = 7.37% = 1.23 x 0.50 = 0.615 75% = (0.75 x 0.116) + (0.25 x 0.0315) = 9.48% = 1.23 x 0.75 = 0.9225 100% = (1 x 0.116) + (0 x 0.0315) = 11.6% = 1.23 x 1 = 1.23 125% = (1.25 x 0.116) + (-0.25 x 0.0315) = 13.71% = 1.23 x 1.25 = 1.5375 150% = (1.50 x 0.116) + (-0.50 x 0.0315) = 15.82% = 1.23 x…