Quantative Methods And Improving The Performance Organizational Behavior

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(1) REGRESSION ANALYSIS 20 points A business person is trying to estimate the relationship between the price of good X and the sales of good Y of certain groups of staples. Tests in similar cities throughout the country have yielded the data below: PRICE (X) $20 $25 $30 $35 $40 $50 SALES (Y) 10,300 9,100 8,200 6,500 5,100 2,300 A simple linear regression of a model SALES(Y) = b 0 + b 1 PRICE(X) Was run and the computer output is shown below: PRICE OF X / SALES OF Y REGRESSION FUNCTION & ANOVA FOR SALES(Y) SALES(Y) = 15907.14 - 269.7143 PRICE(X) R-Squared Adjusted R-Squared Standard error of estimate Number of cases used = 0.994999 = 0.993749 = 230.9143 =6 Analysis of Variance Source Regression Residual Total SS df 4.24350E+07 1 213285.70000 4 4.26483E+07 5 MS 4.24350E+07 53321.43000 F Value 795.83480 p-value Sig Prob 0.000009 PRICE OF X / SALES OF Y REGRESSION COEFFICIENTS FOR SALES(Y) Variable Coefficient Constant 15907.14000 PRICE(X) -269.71430 Std Error 332.34250 9.56076 Two-Sided p-value t Value Sig Prob 47.86370 0.000001 -28.21054 0.000009 * 1 Standard error of estimate = 230.9143 Durbin-Watson statistic = 1.687953 QUESTIONS (a) What is the estimated equation of the model: SALES(Y) = b 0 + b 1 PRICE(X)? (b) What sort of relationship exists between SALES OF Y and the PRICE OF X? Does this relationship make sense? Why or why not? (c) What can you say about GOOD Y and GOOD X (a good can be an item, a commodity, etc.). Name a pair of good X and good y that can display this kind of relationship (d) Is the relationship significant? Why or why not? 2 (2) REGRESSION ANALYSIS 20 points A business person is trying to estimate the relationship between the price of good X and the sales of good Z of certain groups of staples. Tests in similar cities throughout the country have yielded the data below: PRICE (X) $15 $20 $25 $30 $40 $50 SALES (Z) 3300 3900 4750 5500 6550 7250 A simple linear regression of a model SALES (Z) = b 0 + b 1 PRICE(X) Was run and the computer output is shown below: PRICE OF X / SALES OF Z REGRESSION FUNCTION & ANOVA FOR SALES(Y) SALES(Z) = 1740.686 + 115.5882 PRICE(X) R-Squared Adjusted R-Squared Standard error of estimate Number of cases used = 0.977573 = 0.971966 = 255.2152 =6 Analysis of Variance 3 p-value Source SS df Regression 1.13565E+07 1 Residual 260539.20000 4 Total 1.16171E+07 5 MS 1.13565E+07 65134.80000 F Value 174.35450 Sig Prob 0.000190 PRICE OF X / SALES OF Z REGRESSION COEFFICIENTS FOR SALES(Z) Variable Coefficient Constant 1740.68600 PRICE(X) 115.58820 Std Error 282.52800 8.75381 t Value 6.16111 13.20434 p-value Sig Prob 0.003522 0.000190 * Standard error of estimate = 255.2152 Durbin-Watson statistic = 1.240299 QUESTIONS (a) What is the estimated equation of the model: SALES(Z) = b 0 + b 1 PRICE(X)? (b) What sort of relationship exists between SALES OF Z and the PRICE OF X? Does this relationship make sense? Why or why not? (c) What can you say about GOOD Z and GOOD X (a good can be an item, a commodity, etc.). Give an example of good X and good Z that can display this kind of relationship. 4 (d) Is the relationship significant? Why or why not? (3) REGRESSION ANALYSIS 20 points In March 2006, Consumer Reports reviewed several models of inkjet printers. Shown are the speed of printer (in pages per minute) and the cost per page printed in cents Speed (ppm) 4.6 Cost 12.0 Cents 5.5 8.5 4.5 6.2 3.8 3.4 Speed (ppm) 2.2 Cost 4.3 Cents 1.8 4.6 2.0 14.8 2.0 4.4 4.6 2.6 3.7 4.0 4.7 5.8 4.7 8.1 4.0 9.4 3.1 14.9 1.9 2.6 A simple linear regression of the model: COST = b 0 + b 1 SPEED was run. The results are shown below: PRINTER SPEED & COST PER PAGE REGRESSION FUNCTION & ANOVA FOR COST/PAGE COST/PAGE = 6.108969 + 0.263003 SPEED R-Squared = 0.006472 Adjusted R-Squared = -0.069954 Standard error of estimate = 4.282906 Number of cases used = 15 5 Analysis of Variance Source SS Regression 1.55330 Residual 238.46270 Total 240.01600 df 1 13 14 MS 1.55330 18.34328 F Value 0.08468 p-value Sig Prob 0.775644 PRINTER SPEED & COST PER PAGE REGRESSION COEFFICIENTS FOR COST/PAGE Variable Constant SPEED Coefficient 6.10897 0.26300 Std Error 3.38517 0.90380 Two-Sided t Value 1.80463 0.29100 p-value Sig Prob 0.094339 0.775644 * Standard error of estimate = 4.282906 Durbin-Watson statistic = 1.798886 QUESTIONS (a) What is the estimated regression equation of the model COST = b 0 + b 1 SPEED? (b) Give an interpretation of both the b-coefficients, the intercept and the slope. (c) What sort of relationship exists between COST and SPEED of the printer? Does this relationship make sense? Why or why not? (d) At a level of significance α = 0.05 test for the validity of this relationship. What is your conclusion? 6 \ (e) Write a comment on the R-Squared statistic you get in the above computer output. Waiting Lines – Queuing Theory 20 points 4. During tax season the IRS hires seasonal workers to help answer the questions of taxpayers who call a special toll-free number for information. Suppose that calls to this line occur at an average rate of 60 calls per hour and follow a Poisson distribution. An IRS worker can handle an average of 5 calls per hour with service times, exponentially distributes. Assume that there are 10 IRS workers and when they are all busy, the phone system can keep 5 additional callers on hold. 7 IRS TOLL-FREE QUEUE 1 : M / M / C / K Q U E U E S T A T I S T I C S (time units = hrs) Number of identical servers . . . . . . . . . Mean arrival rate . . . . . . . . . . . . . . Mean service rate per server . . . . . . . . Waiting room capacity . . . . . . . . . . . . 10 60.0000 5.0000 5 Mean server utilization (%) . . . . . . . . . 95.6087 Expected number of customers in queue . . . . 2.4506 Expected number of customers in system . . . 12.0114 Probability that a customer must wait . . . . 0.8111 Probability of service denial . . . . . . . . 0.2033 IRS TOLL-FREE QUEUE 1 : M / M / C / K PROBABILITY DISTRIBUTION OF NUMBER IN SYSTEM Number Prob 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 +----+----+----+----+----+----+----+----+----+----+ UNDER 0.0059|+ | 5 0.0099|+ | 6 0.0199|*| 7 0.0340|**| 8 0.0511|***--| 9 0.0681|***+----| 10 0.0817|****+--------| 11 0.0980|*****------------| 12 0.1176|******-----------------| 13 0.1412|*******+----------------------| 14 0.1694|********+------------------------------| 15 0.2032|**********+--------------------------------------| +----+----+----+----+----+----+----+----+----+----+ Using the computer output above respond to the following questions: 8 (a) What percentage of the time is an IRS worker busy? ANSWER (b) What percentage of callers gets a busy signal when they place their calls? ANSWER (c) What is the average number of callers waiting for a turn to talk to the IRS workers? ANSWER (d) What is the probability that a customer must wait? ANSWER (e) What is the probability that a customer gets immediate attention and does not have to wait? ANSWER (f) The arrival rate of calls is 60 calls per hour. If the office is open 8 hours a day, what is the expected number of customers denied service per day? ANSWER 9 (g) The average revenue per customer is $120. Estimate lost revenue per day due to service denial. ANSWER LINEAR PROGRAMMING 10 points 5. An appliance manufacturer produces two models of microwave ovens: H and W. Both models require fabrication and assembly work. Each H uses 4 hours of fabrication and 2 hours of assembling. Each W type requires 2 hours of fabrication work and 6 hours of assembly work. There are 600 fabrication hours available each week and 480 hours of assembly available each week. Each H type of oven contributes $40 to profits and each H type contributes $30 to profits. (a) Fill in the table below: 10 Process Fabrication Hrs PRODUCT H oven W oven Available Capacity (hrs) (b) Assembly Hrs ? ? ? ? ? ? Profit ? ? Clearly define your decision variables and formulate a linear program for maximizing weekly profits for the firm. Linear Programming 10 points 6. Maxwell Manufacturing makes two models of felt tip marking pens. Requirements for each lot of pens are given below. Plastic Ink Assembly Fliptop Model 3 5 11 Tiptop Model 4 4 Available 36 kgs 40 litres Molding Time Profit /unit 5 2 $1000 30 hrs $1000 The profit for either model is $1000 per lot. Clearly state your decision variables and formulate this problem as a linear program. 10 points 12 Submit with correct formats, proper grammar, syntax, spelling, sentence structure, and punctuation as specified by Standard American English. All assignments are to be completed at a scholarly level. This means that if you are submitting a paper, a standard APA format is required. Required TextbooK: Colquitt, J.; LePine, J.A.; & Wesson, M.J. (2017). Organizational Behavior: Improving Performance and Commitment in the Workplace. McGraw Hill. ISBN: 1260157881 Please respond to the following questions 1. What is the major difficulty with content models of motivation? 2. Explain the law of effect on which OB Mod is heavily based. 3) Compare and contrast the benefits of intrinsic rewards such as recognition and extrinsic rewards such as pay as forms of motivation. 4) Differentiate motivators from hygiene factors. 5) Jamal, fresh out of college, landed his first job as a salesperson at Downtown Cycle, a bicycle shop. Two of Jamal's closest friends, Becca and Lee, also work there. Because the salespeople work mainly on commission, Becca and Lee will be both Jamal's colleagues as well as his competitors. Jamal is concerned about the various issues he could face at work. Using this scenario, illustrate and briefly explain the factors that influence trust levels. 6) What is bounded rationality? How is it related to decision making? 7) List and explain any three decision biases or errors. 8) What are the various categories in which the Myers-Briggs Type Indicator (MBTI) classifies people? 9) Briefly describe the five key traits in the Big Five personality model. 10) Explain how environment influences cognitive abilities. Provide an example of this.
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Running head: ORGANIZATIONAL BEHAVIOR

Organizational Behaviour: Improving the Performance and Commitment in the Workplace
Name
Institutional Affiliation

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ORGANIZATIONAL BEHAVIOR

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Organizational Behavior: Improving Performance and Commitment in the Workplace
Please respond to the following questions
1. What is the major difficulty with content models of motivation?
The major difficulty with the content models of motivation is that each does not encompass all
the elements required for motivation in individuals. There are different theories of motivation,
and each has differentiated recommendation when being applied and thus the difficulty is faced
when two or more theories are to be applied since they could all have elements that would be
useful in increasing the motivation of a person. Each model of motivation is different from the
next and because of these small differences between the models, one may experience difficulties
trying to incorporate the content in each for the purpose of increasing their motivation is that of
the employees. For example, in the book, one of the theories of motivation that is discussed is the
Marlow’s Hierarchy of needs which are based on the idea of gaining motivation as a result of the
needs required to be fulfilled by a person or a group. Using the content of the model as an
example, it is evident that for employees who may not identify needs that they want to fulfill for
example an employee who has their basic needs covered but still remains unmotivated could use
a different model for their motivation.
2. Explain the law of effect on which OB Mod is heavily based.
Organizational behavior modification or its shortened term OB Mod is the practice of applying
behavior modification techniques in the workplace for the attainment of set goals and objectives
pertaining to both the employee and the organization. Organizational behavior modification is
heavily reliant and based on the law of effect. The law of effect maintains that a person is more
likely to repeat behavior that is rewarded or behavior that goes unpunished. Therefore, behavior

ORGANIZATIONAL BEHAVIOR

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that is deemed favorable is rewarded or assumed to be followed by positive consequences. On
the other hand, the opposite is true, whereby poor behavior goes unrewarded or at least punished
and due to the negative consequences rarely repeated. To help modify the behavior of the
employee reinforcement is often used as a technique in which the preferred behavior or desired
change in behavior is encouraged by rewards and recognition which are two common tools of
helping the OB work effectively.
3. Compare and contrast the benefits of intrinsic rewards such as recognition and extrinsic
rewards such as pay as forms of motivation.
Intrinsic motivation is a type of motivation that is driven by an interest held by the individual.
Additionally, an enjoyment expressed by the person when completing tasks is another way of
identifying intrinsic motivation. Conversely, extrinsic motivation is the motivation that is driven
by external tools, elements, and external pressure. Instead of the individual finding motivation
from within because of, say, for example, their increased interest in the task or project, they rely
on the external pressure to perform and remain motivated. An example of extrinsic motivation
tools includes money, promotions, coercion, and the threat of punishment. There are many
benefits attached to intrinsic motivation than extrinsic motivation. One of the primary benefits is
that with intrinsic motivation the person does not need coercion or threats since their motivation
comes naturally. On the other hand, the extrinsic motivation is dependent on another person as
opposed to the motivation being from within, and beca...


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