Can someone please answer the following 10 Multiple choicequestions? Thank you.

1. An analyst needs to build a forecasting model but he isnot sure whether it has trend or seasonality components. Which ofthe following can help the analyst build decide on the forecastingmodel. Check all that apply.

		Assume it has only seasonality but not trend, because timeseries with trend are rare.
		Try different models and pick the best one.
		Try plotting the time series and visually determine whatcomponents it has.
		Assume it has only trend but not seasonality, because timeseries with seasonality are rare.

2. _____ distribution is a _____  probabilitydistribution whose mean equals its variance.

			Exponential, distrete
			Poisson, continuous
			Exponential, continuous
			Poisson, discrete

3 . After building a linear regression model, an analystexamined the residuals, which seemed to not be uniformly spreadaround the regression line, but rather seemed to spread around acurve. Which of the following, the should analystconsider?

		Using nonlinear programming
		Using nonlinear regression analysis
		Using Monte Carlo simulation analysis
		Removing one or more independent variables

4. An alternative medicine researcher is studyingwhether a newly developed herbal extract lowers blood pressure.Which one of the following confidence interval analyses can helpthe researcher in her study?

		Difference between proportions
		Difference between means, independent samples, unequalvariances
		Difference between means, paired samples
		Difference between means, independent samples, equalvariances

5. Poisson distribution can be used to model_____.

		Number of patients arriving at a clinic in a given period oftime
		The outcome of flipping a coin
		Blood sugar level in a large population
		Passenger arrival time minus scheduled departure time

6. Assume you are working on a forecasting project,where you are expecting extreme outliers. Which one of thefollowing forecast error measures should you consider?Why?

		MAD because it penalizes outliers disproportionally more(quadratically), hence it is suitable for problems withoutliers.
		MSE because it penalizes all the deviations consistently(linearly), hence not sensitive to outliers.
		MAD because it penalizes all the deviations consistently(linearly), hence not sensitive to outliers.
		MSE because it penalizes outliers disproportionally(quadratically), hence it is more suitable for problems withoutliers.

7. A group of researchers are studying the difference inthe highway gas mileage of the new releases of 2 different carmodels from 2 different manufacturers, namely Toyota Corolla andHonda Civic. Which one of the following confidence intervalanalyses can help the researchers in their study?

		Difference between means, independent samples, equalvariances
		Difference between means, independent samples, unequalvariances
		Difference between means, paired samples
		Difference between proportions

8. An analyst is studying the relationship between theoverall productivity of a manufacturing facility and the length ofthe workers' shift. The analyst decided to apply linear regressionanalysis to a data set from 91 different manufacturing facilitiesthat belong to the same manufacturer and produce the same type ofproduct. The facilities have different shift lengths, which arebetween 4 hours and 11 hours. The regression statistics and ANOVAreturned acceptable values. Which of the following helps theanalyst the most in deciding the relationship between productivityand shift length?

		Rate regression indicator
		Residuals
		Coefficient
		Intercept

9. Assume you are working on an optimization problemwhere the fraction of sulfur in a new chemical product has to beconstrained so it does not exceed 10%. There are 2 ingredient ofthe product and both of them contain sulfur. The amounts used fromthese 2 ingredients are denoted X and Y. These 2 ingredientscontain 12% and 5% sulfur, respectively. Which of the followingcorrectly expresses the constraint? Check all thatapply.

		(0.12X + 0.05Y) / (X + Y) <= 0.1
		0.02X - 0.05Y <= 0
		0.12X + 0.05Y <= 0.1
		0.02X - 0.05Y + 0.1 = 0

10 An R&D engineer is in the process of building aforecasting model for a business problems. He consulted an expertfrom the operations department of his company. The expert expressedthat the business logic dictates that the data series used in theforecasting model is highly expected to incorporate correlationsbetween consecutive values for 2 lags. Which of the followingmodels should the engineer choose?

		Linear optimization model
		Causal model
		First-order autoregressive model
		Second-order autoregressive model