Data Analysis Objective Set 3

Q1: The cumulative relative frequency for the class of 10 – 19 a. is 90 b. is .25 c. is .45 d. cannot be determined from the information given 

Answer

Answer: C

Q2: A researcher has collected the following sample data 5 12 6 8 5 6 7 5 12 4 94. Refer to Exhibit 3-2. The median is a. 5 b. 6 c. 7 d. 8 

Answer

Answer: B

Q3: A researcher has collected the following sample data. The mean of the sample is 5. 3 5 12 3 2 98. Refer to Exhibit 3-3. The variance is a. 80 b. 4.062 c. 13.2 d. 16.5 

Answer

Answer: D

Q4: The standard deviation is a. 8.944 b. 4.062 c. 13.2 d. 16.5 

Answer

Answer: B

Q5: The coefficient of variation is a. 72.66per cent b. 81.24per cent c. 264per cent d. 330per cent 

Answer

Answer: B

Q6: The interquartile range is a. 1 b. 2 c. 10 d. 12 

Answer

Answer: B

Q7: The following is the frequency distribution for the speeds of a sample of automobiles traveling on an interstate highway. Speed Miles per Hour Frequency 50 – 54 2 55 – 59 4 60 – 64 5 65 – 69 10 70 – 74 9 75 – 79 5 35 103. Refer to Exhibit 3-4. The mean is a. 35 b. 670 c. 10 d. 67 

Answer

Answer: D

Q8: A change in the right hand side of a constraint changes 

Answer

Answer: the feasible region

Q9: A circular node in a decision tree is called a(n)___ node 

Answer

Answer: event

Q10: A common objective in the product mix problem is 

Answer

Answer: maximizing profit

Q11: A manager has only 200 tons of plastic for his company. This is an example of a(n) 

Answer

Answer: constraint.

Q12: A mathematical model is considered to be valid when 

Answer

Answer: it accurately represents the relevant characteristics of the object or decision

Q13: A payoff matrix depicts___ versus___ with payoffs for each intersection cell 

Answer

Answer: decision alternatives; states of nature

Q14: A square node in a decision tree is called a(n)___ node 

Answer

Answer: decision

Q15: A time series which has no significant upward or downward trend is referred to as 

Answer

Answer: stationary

Q16: A variable whose value cannot be predicted or set with certainty is a 

Answer

Answer: random variable

Q17: A(n)___ is a course of action intended to solve a problem 

Answer

Answer: alternative

Q18: As the number of periods in the forecast, k, increases 

Answer

Answer: the moving average prediction will be smoother

Q19: Binding constraints have 

Answer

Answer: zero slack

Q20: How many decision variables are there in a transportation problem which has 5 supply points and 4 demand points 

Answer

Answer: 20

Q21: Given an objective function value of 150 and a shadow price for resource 1 of 5, if 10 more units of resource 1 are added (assuming the allowable increase is greater than 10), what is the impact on the objective function value 

Answer

Answer: increase of 50

Q22: In a spreadsheet, input cells correspond conceptually to 

Answer

Answer: independent variables

Q23: In a two-group discriminant analysis problem using regression, why is the midpoint cut-off value used to determine group classification 

Answer

Answer: Because the value minimizes the probability of misclassification error.

Q24: In the following expression, which is (are) the dependent variable(s): PROFIT = REVENUE – EXPENSES 

Answer

Answer: Profit

Q25: Limited resources are modeled in optimization problems as 

Answer

Answer: constraints

Q26: Regression analysis is a modeling technique 

Answer

Answer: for analyzing the relationship between dependent and independent variables.

Q27: Seasonality in a time series is indicated by 

Answer

Answer: regular, repeating patterns in the data around a trend line

Q28: The allowable increase for a constraint is 

Answer

Answer: the amount by which the resource can increase given shadow price.

Q29: The amount of time a customer spends with the server is referred to as 

Answer

Answer: service time

Q30: The best models 

Answer

Answer: accurately reflect relevant characteristics of the real-world object or decision

Q31: The constraints X1 ≥ 0 and X2 ≥ 0 are referred to as 

Answer

Answer: non-negativity conditions.

Q32: The decision rule which determines the maximum payoff for each alternative and then selects the alternative associated with the largest payoff is the 

Answer

Answer: maximax decision rule

Q33: The number of units to ship from Chicago to Memphis is an example of a(n) 

Answer

Answer: decision

Q34: The objective function for a LP model is 3 X1 + 2 X2. If X1 = 20 and X2 = 30, what is the value of the objective function 

Answer

Answer: 120

Q35: The standard error measures the 

Answer

Answer: variability in the actual data around the fitted regression function.

Q36: What are the three common elements of an optimization problem 

Answer

Answer: decisions, constraints, an objective

Q37: What is the goal in optimization 

Answer

Answer: Find the decision variable values that result in the best objective function and satisfy all constraints.

Q38: What is queuing theory 

Answer

Answer: The study of waiting lines

Q39: What do businesses use queuing theory 

Answer

Answer: To reduce customer wait time in line.

Q40: Which of the following is the common approach to time-series analysis 

Answer

Answer: Try several techniques and use the best results.

Q41: A well-designed spreadsheet facilitates 

Answer

Answer: What if? analysis.

Q42: Why might a forecaster calculate MSE values on just the most recent data in the time-series data set 

Answer

Answer: The forecaster might be interested in how well the forecasting method performs on the more recent data. Because the most recent data may be a better predictor of future values. c. Because the resulting forecasting function might fit the older data better that the more recent data.

Q43: Decision variables 

Answer

Answer: can be selected at the discretion of the decision maker

Q44: The_______ indicates how much the value of the objective function will change as the right-hand side of a constraint is increased by 1 

Answer

Answer: shadow price

Q45: The following linear programming problem has been written to plan the production of two products. The company wants to maximize its profits. X1 = number of product 1 produced in each batch X2 = number of product 2 produced in each batch MAX: 150 X1 + 250 X2 Subject to: 2 X1 + 5 X2 ≤ 200 – resource 1 3 X1 + 7 X2 ≤ 175 – resource 2 X1, X2 ≥ 0 How many units of resource 1 are consumed by each unit of product 1 produced 

Answer

Answer: 2

Q46: The decision varables in excel are called the 

Answer

Answer: changing cells

Q47: Alternative 

Answer

Answer: A course of action intended to solve a problem.

Q48: Criteria 

Answer

Answer: In a decision problem they represent factors that are important to the decision maker.

Q49: States of Nature 

Answer

Answer: Correspond to future events that are not under the control of the decision maker.

Q50: What does a Payoff Matrix depict 

Answer

Answer: Decision Alternatives VS States of Nature

Q51: What does a Payoff Matrix summarize 

Answer

Answer: The final outcome for each decision alternative.

Q52: MaxiMax Decision Rule 

Answer

Answer: Determines the maximum payoff for each alternative and then selects the alternative associated with the largest payoff. ** optimistically assumes nature will always be “on our side” regardless of what decision we make

Q53: MaxiMin Decision Rule 

Answer

Answer: Determines the minimum payoff for each alternative and then selects the alternative associated with the largest minimum payoff. ** pessimistically assumes nature will always be “against us” regardless of what decision we make

Q54: What is “regret” 

Answer

Answer: The amount of opportunity lost in making a decision.

Q55: What formula should go into the cell to implement the MaxiMax Decision Rule 

Answer

Answer: =MAX(Cell w/o absolutes : Cell w/o absolutes) ex : =MAX(B5:B8)

Q56: What formula should go into the cell to implement the MaxiMin Decision Rule 

Answer

Answer: =MIN(Cell w/o absolutes : Cell w/o absolutes) ex : =MIN(B5:B8)

Q57: What formula should go in cell F5 of the Regret Matrix to compute the regret value 

Answer

Answer: =MAX(B$5:B$8)-B5

Q58: What formula should go into the cell H5 and copied to H6:H8 of the Regret Table above to implement the MiniMax regret decision rule 

Answer

Answer: =MAX(F5:G5)

Q59: The coefficients in an LP model (cj, aij, bj) represent 

Answer

Answer: Numeric Constants.

Q60: The Cell Value column in the Solver Answer Report shows 

Answer

Answer: Final (optimal) value assumed by each constraint cell.

Q61: Slack 

Answer

Answer: Difference between the RHS values of the constraints and the final (optimal) value assumed by the LHS.

Q62: A binding greater than or equal to ≥ constraint in a minimization problem means that 

Answer

Answer: The minimum requirement for the constraint has just been met.

Q63: A binding less than or equal to ≤ constraint in a maximization problem means 

Answer

Answer: That all of the resource represented by the constraint is consumed in the solution.

Q64: Frequency 

Answer

Answer: Count

Q65: Relative Frequency 

Answer

Answer: Frequency of the class / Sample size

Q66: Frequency Distribution 

Answer

Answer: A tabular summary of data showing the percentage of observations in each of several non overlapping categories

Q67: Sum of all frequencies for all classes will always equal 

Answer

Answer: Sample Size

Q68: The sum of all relative frequencies for all classes will always equal 

Answer

Answer: One

Q69: In constructing a frequency distribution, as the number of classes are decreased, the class width 

Answer

Answer: Increases

Q70: In a cumulative frequency distribution, the last class will always have a cumulative frequency equal to 

Answer

Answer: sample size

Q71: In a cumulative per cent frequency distribution, the last class will have a cumulative per cent frequency equal ton 

Answer

Answer: 100per cent

Q72: Cross Tabulation 

Answer

Answer: A tabular method that can be used to summarize the data on two variables simultaneously

Q73: The sum of frequencies for all classes will always equal 

Answer

Answer: The # of elements in a data set

Q74: The sum of the percent frequencies for all classes will always equal 

Answer

Answer: 100

Q75: Class width 

Answer

Answer: The difference between the lower class limits of adjacent classes

Q76: Relative Frequency Distribution 

Answer

Answer: A tabular summary of data showing the fraction or proportion of observations in each of several non overlapping categories or classes
A tabular summary of a set of data showing the fraction of the total number of items in several classes

Q77: Percent Frequency Distribution 

Answer

Answer: A tabular summary of data showing the percentage of observations in each of several non overlapping classes

Q78: Cumulative Frequency Distribution 

Answer

Answer: A tabular summary of quantitive data showing the number of data values that are less than or equal to the upper class limit of each class
The total number of data items with a value less than the upper limit for the class is given by the

Q79: Cumulative Relative Frequency Distribution 

Answer

Answer: A tabular summary of quantitive data showing the fraction or proportion of data values that are less than or equal to the upper class limit of each class

Q80: Cumulative Percent Frequency Distribution 

Answer

Answer: A tabular summary of quantitive data showing the percentage of data values that are less than or equal to the upper class limit of each class

Q81: Stem and Leaf Chart 

Answer

Answer: A graphical display used to show simultaneously the rank order and shape of a distribution of data

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