Quiz
In regression terms what does "best fit" mean?
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Why do we create a scatter plot of the data in regression analysis?
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Based on the following regression output, what proportion of the total variation in Y is explained by X?
Regression Statistics |
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Multiple R | 0.917214 |
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R Square | 0.841282 |
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Adjusted R Square | 0.821442 |
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Standard Error | 9.385572 |
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Observations | 10 |
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ANOVA |
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| df | SS | MS | F | Significance F |
Regression | 1 | 3735.3060 | 3735.30600 | 42.40379 | 0.000186 |
Residual | 8 | 704.7117 | 88.08896 |
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Total | 9 | 4440.0170 |
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| Coefficients | Standard Error | t Stat | P-value | Lower 95% |
Intercept | 31.623780 | 10.442970 | 3.028236 | 0.016353 | 7.542233 |
X Variable 1 | 1.131661 | 0.173786 | 6.511819 | 0.000186 | 0.730910 |
Question 3 options:
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The regression function indicates the
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The reason an analyst creates a regression model is
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Based on the following regression output, what is the equation of the regression line?
Regression Statistics |
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Multiple R | 0.917214 |
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R Square | 0.841282 |
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Adjusted R Square | 0.821442 |
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Standard Error | 9.385572 |
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Observations | 10 |
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ANOVA |
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| df | SS | MS | F | Significance F |
Regression | 1 | 3735.3060 | 3735.30600 | 42.40379 | 0.000186 |
Residual | 8 | 704.7117 | 88.08896 |
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Total | 9 | 4440.0170 |
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| Coefficients | Standard Error | t Stat | P-value | Lower 95% |
Intercept | 31.623780 | 10.442970 | 3.028236 | 0.016353 | 7.542233 |
X Variable 1 | 1.131661 | 0.173786 | 6.511819 | 0.000186 | 0.730910 |
Question 6 options:
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R2 is also referred to as
Question 7 options:
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Estimation errors are often referred to as
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Regression analysis is a modeling technique
Question 9 options:
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What is the correct range for R2 values?
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Residuals are assumed to be
Question 11 options:
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What goodness-of-fit measure is commonly used to evaluate a multiple regression function?
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Exhibit 9.2
The following questions are based on the problem description and spreadsheet below.
A paint manufacturer is interested in knowing how much pressure (in pounds per square inch, PSI) builds up inside aerosol cans at various temperatures (degrees Fahrenheit). It has developed the following Excel spreadsheet of the results.
| A | B | C | D | E | F | G |
1 | Regression Statistics |
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2 | Multiple R | 0.9999 |
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3 | R Square | 0.9998 |
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4 | Adjusted R Square | 0.9997 |
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5 | Standard Error | 0.2853 |
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6 | Observations | 10 |
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8 | ANOVA |
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| df | SS | MS | F | Significance F | |
10 | Regression | 1 | 2843.4178 | 2843.4100 | 34930.220 | 0.0000 |
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11 | Residual | 8 | 0.6512 | 0.0814 |
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12 | Total | 9 | 2844.0690 |
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15 | Intercept | 38.1923 | 0.8131 | 46.9741 | 0.0000 | 36.3174 | 40.0672 |
16 | X Variable 1 | 1.2447 | 0.0067 | 186.8963 | 0.0000 | 1.2293 | 1.2600 |
Refer to Exhibit 9.2. Predict the mean pressure for a temperature of 120 degrees.
Question 13 options:
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Exhibit 9.2
The following questions are based on the problem description and spreadsheet below.
A paint manufacturer is interested in knowing how much pressure (in pounds per square inch, PSI) builds up inside aerosol cans at various temperatures (degrees Fahrenheit). It has developed the following Excel spreadsheet of the results.
| A | B | C | D | E | F | G |
1 | Regression Statistics |
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2 | Multiple R | 0.9999 |
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3 | R Square | 0.9998 |
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4 | Adjusted R Square | 0.9997 |
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5 | Standard Error | 0.2853 |
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6 | Observations | 10 |
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8 | ANOVA |
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| df | SS | MS | F | Significance F | |
10 | Regression | 1 | 2843.4178 | 2843.4100 | 34930.220 | 0.0000 |
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11 | Residual | 8 | 0.6512 | 0.0814 |
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12 | Total | 9 | 2844.0690 |
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15 | Intercept | 38.1923 | 0.8131 | 46.9741 | 0.0000 | 36.3174 | 40.0672 |
16 | X Variable 1 | 1.2447 | 0.0067 | 186.8963 | 0.0000 | 1.2293 | 1.2600 |
Refer to Exhibit 9.2. Test the significance of the model and explain which values you used to reach your conclusions.
Question 14 options:
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Exhibit 9.2
The following questions are based on the problem description and spreadsheet below.
A paint manufacturer is interested in knowing how much pressure (in pounds per square inch, PSI) builds up inside aerosol cans at various temperatures (degrees Fahrenheit). It has developed the following Excel spreadsheet of the results.
| A | B | C | D | E | F | G |
1 | Regression Statistics |
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2 | Multiple R | 0.9999 |
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3 | R Square | 0.9998 |
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4 | Adjusted R Square | 0.9997 |
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5 | Standard Error | 0.2853 |
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6 | Observations | 10 |
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8 | ANOVA |
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| df | SS | MS | F | Significance F | |
10 | Regression | 1 | 2843.4178 | 2843.4100 | 34930.220 | 0.0000 |
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11 | Residual | 8 | 0.6512 | 0.0814 |
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12 | Total | 9 | 2844.0690 |
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| Standard |
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15 | Intercept | 38.1923 | 0.8131 | 46.9741 | 0.0000 | 36.3174 | 40.0672 |
16 | X Variable 1 | 1.2447 | 0.0067 | 186.8963 | 0.0000 | 1.2293 | 1.2600 |
Refer to Exhibit 9.2. Interpret the meaning of the "Lower 95%" and "Upper 95%" terms in cells F16:G16 of the spreadsheet.
Question 15 options:
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Exhibit 9.2
The following questions are based on the problem description and spreadsheet below.
A paint manufacturer is interested in knowing how much pressure (in pounds per square inch, PSI) builds up inside aerosol cans at various temperatures (degrees Fahrenheit). It has developed the following Excel spreadsheet of the results.
| A | B | C | D | E | F | G |
1 | Regression Statistics |
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2 | Multiple R | 0.9999 |
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3 | R Square | 0.9998 |
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4 | Adjusted R Square | 0.9997 |
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5 | Standard Error | 0.2853 |
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6 | Observations | 10 |
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8 | ANOVA |
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| df | SS | MS | F | Significance F | |
10 | Regression | 1 | 2843.4178 | 2843.4100 | 34930.220 | 0.0000 |
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11 | Residual | 8 | 0.6512 | 0.0814 |
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12 | Total | 9 | 2844.0690 |
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| Standard |
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15 | Intercept | 38.1923 | 0.8131 | 46.9741 | 0.0000 | 36.3174 | 40.0672 |
16 | X Variable 1 | 1.2447 | 0.0067 | 186.8963 | 0.0000 | 1.2293 | 1.2600 |
Refer to Exhibit 9.2. Interpret the meaning of R Square in cell B3 of the spreadsheet.
Question 16 options:
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Why would a manager be interested in analyzing risk?
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If chance or uncertainty is present in a system then there is an element of ____ in the decision-making problem.
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Simulation is used to
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A store is considering adding a second clerk. The customer arrival rate at this new server will be
Question 20 options:
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One reason to use queuing models in business is
Question 21 options:
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Which of the following best describes queuing theory?
Question 22 options:
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An arrival process is memoryless if
Question 23 options:
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The memoryless property is also referred to as the ____ property.
Question 24 options:
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Which of the following is a reason to employ queuing theory?
Question 25 options:
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If a company adds an additional identical server to its M/M/1 system, making an M/M/2 system, what happens to a customer's average service time?
Question 26 options:
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The number of arrivals to a store follows a Poisson distribution with mean λ = 10/hour. What is the mean inter-arrival time?
Question 27 options:
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If the number of arrivals in a time period follow a Poisson distribution with mean λ then the inter-arrival times follow a(n) ____ distribution with mean ____.
Question 28 options:
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What is the service policy in the queuing systems presented in this chapter that is considered "fair" by the customers?
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The M in M/G/1 stands for
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Which type of queuing system are you likely to encounter at an ATM?
Question 31 options:
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Exhibit 13.1
The following questions are based on the output below.
A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and service times are exponentially distributed. The following spreadsheet has been developed for the system.
M/M/s queuing computations | |||
| Arrival rate | 6 |
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| Service rate | 8 |
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| Number of servers | 1 | (max of 40) |
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Utilization | 75.00% | ||
P(0), probability that the system is empty | 0.2500 | ||
Lq, expected queue length | 2.2500 | ||
L, expected number in system | 3.0000 | ||
Wq, expected time in queue | 0.3750 | ||
W, expected total time in system | 0.5000 | ||
Probability that a customer waits | 0.7500 |
Refer to Exhibit 13.1. What is the probability that a customer must wait in queue before being served?
Question 32 options:
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Exhibit 13.1
The following questions are based on the output below.
A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and service times are exponentially distributed. The following spreadsheet has been developed for the system.
M/M/s queuing computations | |||
| Arrival rate | 6 |
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| Service rate | 8 |
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| Number of servers | 1 | (max of 40) |
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Utilization | 75.00% | ||
P(0), probability that the system is empty | 0.2500 | ||
Lq, expected queue length | 2.2500 | ||
L, expected number in system | 3.0000 | ||
Wq, expected time in queue | 0.3750 | ||
W, expected total time in system | 0.5000 | ||
Probability that a customer waits | 0.7500 |
Refer to Exhibit 13.1. What is average amount of time spent waiting in line?
Question 33 options:
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Exhibit 13.1
The following questions are based on the output below.
A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and service times are exponentially distributed. The following spreadsheet has been developed for the system.
M/M/s queuing computations | |||
| Arrival rate | 6 |
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| Service rate | 8 |
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| Number of servers | 1 | (max of 40) |
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Utilization | 75.00% | ||
P(0), probability that the system is empty | 0.2500 | ||
Lq, expected queue length | 2.2500 | ||
L, expected number in system | 3.0000 | ||
Wq, expected time in queue | 0.3750 | ||
W, expected total time in system | 0.5000 | ||
Probability that a customer waits | 0.7500 |
Refer to Exhibit 13.1. What is the probability that a customer can go directly into service without waiting in line?
Question 34 options:
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Exhibit 13.1
The following questions are based on the output below.
A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and service times are exponentially distributed. The following spreadsheet has been developed for the system.
M/M/s queuing computations | |||
| Arrival rate | 6 |
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| Service rate | 8 |
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| Number of servers | 1 | (max of 40) |
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Utilization | 75.00% | ||
P(0), probability that the system is empty | 0.2500 | ||
Lq, expected queue length | 2.2500 | ||
L, expected number in system | 3.0000 | ||
Wq, expected time in queue | 0.3750 | ||
W, expected total time in system | 0.5000 | ||
Probability that a customer waits | 0.7500 |
Refer to Exhibit 13.1. How many customers will be in the store on average at any one time?
Question 35 options:
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A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the expected service time per customer?
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A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is less than 2 minutes?
Question 37 options:
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A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is more than 4 minutes?
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If we are employing Activity-On-Arc (AOA) network design, the arcs in the network diagram represent
Question 39 options:
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Which activities are critical in the following diagram?
Question 40 options:
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The purpose of the forward pass in the Critical Path Method (CPM) technique is to
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What is the formula for the earliest finish time for activity i?
Question 42 options:
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What is the latest finish time for activity D in the following diagram?
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What is the earliest start time for activity D in the following diagram?
Question 44 options:
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What are the immediate successors of activity D in this network?
Question 45 options:
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What are the immediate predecessors of activity D in this network?
Question 46 options:
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How many paths are there in the following project precedence network?
Question 47 options:
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Which activities have slack in the following diagram?
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The critical path is the ____ path throughout the network.
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The longest path through a network is comprised of the ____ activities.
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