Sunday, January 26, 2020
Statistics Essays | Analysis of Data
Statistics Essays | Analysis of Data Consider and discuss the required approach to analysis of the data set provided. As part of this explore also how you would test the hypothesis below and explain the reasons for your decisions. Hypothesis 1: Male children are taller than female children. Null hypothesis; There is no difference in height between male children and female children. Hypothesis 2: Taller children are heavier. Null hypothesis: There is no relationship between how tall children are and how much they weigh. Analysis of data set The data set is a list of 30 childrens gender, age, height, the data weight, upper and lower limb lengths, eye colour, like of chocolate or not andIQ. There are two main things to consider before and the data. These are the types of data and the quality of the data as a sample. Types of data could be nominal, ordinal, interval or ratio.Nominal is also know as categorical. Coolican (1990) gives more details of all of these and his definitions have been used to decide the types of data in the data set. It is also helpful to distinguish between continuous numbers, which could be measured to any number of decimal places an discrete numbers such as integers which have finite jumps like 1,2 etc. Gender This variable can only distinguish between male or female.There is no order to this and so the data is nominal. Age This variable can take integer values. It could be measured to decimal places, but is generally only recorded as integer. It is ratio data because, for example, it would be meaningful to say that a 20 year old person is twice as old as a 10 year old. In this data set, the ages range from 120 months to 156months. This needs to be consistent with the population being tested. Height This variable can take values to decimal places if necessary. Again it is ratio data because, for example, it would be meaningful to say that a person who is 180 cm tall is 1.5 times as tall as someone 120cmtall. In this sample it is measured to the nearest cm. Weight Like height, this variable could take be measured to decimal places and is ratio data. In this sample it is measured to the nearest kg. Upper and lower limb lengths Again this variable is like height and weight and is ratio data. Eye colour This variable can take a limited number of values which are eye colours. The order is not meaningful. This data is therefore nominal(categorical). Like of chocolate or not As with eye colour, this variable can take a limited number of values which are the sample members preferences. In distinguishing merely between liking and disliking, the order is not meaningful. This data is therefore nominal (categorical). IQ IQ is a scale measurement found by testing each sample member. As such it is not a ratio scale because it would not be meaningful to say, for example, that someone with a score of 125 is 25% more intelligent than someone with a score of 100. There is another level of data mentioned by Cooligan into which none of the data set variables fit. That is Ordinal Data. This means that the data have an order or rank which makes sense. An example would be if 10students tried a test and you recorded who finished quickest, 2ndquickest etc, but not the actual time. The data is intended to be a sample from a population about which we can make inferences. For example in the hypothesis tests we want toknow whether they are indicative of population differences. The results can only be inferred on the population from which it is drawn it would not be valid otherwise. Details of sampling methods were found in Bland (2000). To accomplish the required objectives, the sample has to be representative of the defined population. It would also be more accurate if the sample is stratified by known factors like gender and age. This means that, for example, the proportion of males in the sample is the same as the proportion in the population. Sample size is another consideration. In this case it is 30.Whether this is adequate for the hypotheses being tested is examined below. Hypothesis 1: Male children are taller than female children. Swift (2001) gives a very readable account of the hypothesis testing process and the structure of the test. The first step is to set up the hypotheses: The Null hypothesis is that there is no difference in height between male children and female children. If the alternative was as Coolican describes it as we do not predict in which direction the results will go then it would have been a two-tailed test. In this case the alternative is that males are taller it is therefore a specific direction and so a one-tailed test is required. To test the hypothesis we need to set up a test statistic and then either match it against a pre-determined critical value or calculate the probability of achieving the sample value based on the assumption that the null hypothesis is true. The most commonly used significance level is 0.05. Accordingto Swift (2001) the significance level must be decided before the data is known. This is to stop researchers adjusting the significance level to get the result that they want rather than accepting or rejecting objectively. If the test statistic probability is less than 0.05 we would reject the null hypothesis that there is no difference between males and females in favour of males being heavier on the one sided basis. However it is possible for the test statistic to be in the rejection zone when in fact the null hypothesis is true. This is called a TypeI error. It is also possible for the test statistic to be in the acceptance zone when the alternative hypothesis is true (in other words the null hypothesis is false). This is called a Type II error. Power is 1 -probability of a Type II error and is therefore the probability of correctly rejecting a false null hypothesis. Whereas the Type I error is set at the desired level, the Type II error depends on the actual value of the alternative hypothesis. Coolican (1990) sets out the possible outcomes in the following table:
Friday, January 17, 2020
One amazing thing summary Essay
One Amazing Thing by: Chitra Divakaruni. It was first published in the US in voice by Hyperion in 2009 and later published by Penguin books India February 2010. The book also has 240 pages. Chitra B. Divakaiumi is an award winning author poet. Her work is widely known, as she has been published in over 500 magazines. Including Atlantic Monthly and The New Yorker, and her writing has been included in over 50 anthologies. She was born in India and lived there until 1976. At which point she left Calcutta and came to the United States. A young woman Uma, sits in the waiting room of the India passport office. She starts to get very impatient, and she entertains herself by observing the other people in the waiting room with her. Everyone has a reason of why they want to enter into India. In the waiting area their waits an Africa American war veteran Cameron who takes charge, but some are unhappy about it. A Muslim names Tariq. An upper class Caucasian couple that really donââ¬â¢t get alone. A Chinese grandmother with a secret past, and her granddaughter, two visa office workers on the verge of and affair Malathi and Mr. Mangalam, and Uma. As they all set in the waiting area Uma starts to feel a little rumbling and that when the earthquake strikes. When everything settles down, there were some major injuries as well as some minor injuries. People started to go into survival mode, as there is little food to eat. The office starts to flood. So emotional stress seems to much for everyone to handle as they wait to be rescued or die. So thatââ¬â¢s when Uma comes up with everyone telling ââ¬Å"One Amazing Thingâ⬠, about themselves because she believes that no one can go through life without encountering at least one amazing thing. So everyone begin to tell one amazing thing that they have never told anyone before. With One Amazing Thing everyone discover so much from each other as well as their selves. Elderly Caucasian couple Mr. and Mrs. Pritchet going through a difficult time in their marriage, an Indian-Muslim man Tariq who is disillusioned and angry with the new US, as Chinese lady Jiang who loved and lost a man in her younger days, her granddaughter Lily, a middle age army officer haunted by his guilt Cameron, Malathi a visa officer who is engaging in a affair with her boss, Mr. Mangalam on the verge of an extra-martial affair, an Indian-American student Uma, who is confused by her parents decision to return to Kolkata after living in the US for over 20 years. The plot focuses on a group of strangers who are trapped in a visa office. Most customers even some staff have come and gone, but nine people remain in the office. When an earthquake rips through the afternoon, trapping these nine characters together, their focus first is to survive through the struggle. There is a little food from which came from what people had. The office begins to flood, and everyone starts to panic and get really scared and frustrated. So when the emotional stress seems to be to much for them to bear, the young lady Uma tells them to tell a personal tale about them that no one knows about ââ¬Å"One Amazing Thingâ⬠, from what they have been through in life. So all of their stories from the romance, self-discovery, family, etc. This novel really proves the power of a lot of stories and the meaning of us as humanââ¬â¢s expressions itself. In my opinion the book ââ¬Å"One Amazing Thingâ⬠, is an engaging book because it reinforces the idea that all of us are different and unique in our own ways, and that we all have stories of our lives that may be interesting or not to tell. We all can connect to this book or see one another if we are willing to take the time out to listen to people. Because everyone has a something to tell, and amazing is not always positive words. But describes something that might have changed a life, or the course of someone life. Some of the stories are very heart breaking, but all of them paint a picture in some way of the characters and why they may be who they have become.
Thursday, January 9, 2020
Improve Your Life and the World With a Masters Degree In Criminal Justice 2019
The criminal justice system grows increasingly complex and challenging each year. It includes penal law, social control, constitutional law, criminal procedure and evidence, criminology, victimology, policing, courts, corrections and community services, as well as politics. With the creation of the Department of Homeland Security, the field of Criminal Justice has expanded at a rapid rate. If you are currently employed in this field, you can take your place as a leader by earning a Masters Degree in Criminal Justice. You can broaden your professional knowledge and competencies in criminal justice research, theory, administration and practice. Because this degree can be earned at your own pace, in your own home and on your own time, you need not worry about leaving your current employment or moving your family. There are several options available online for you to investigate in the pursuit of your goal. An example is the Master of Arts in Criminal Justice at Umass Online. This degree will assist you in developing the professional skills necessary to assume a position of importance in the field. Umass has been named one of the best schools in the country, and its criminal justice program was established in 1984. Standard classes such as Criminology and Research Methods are offered, along with cutting edge classes like Crime Mapping, Domestic Violence and Terrorism. .ud7aaabdda4531fd33b9bb4f6fac25ac1 { padding:0px; margin: 0; padding-top:1em!important; padding-bottom:1em!important; width:100%; display: block; font-weight:bold; background-color:#eaeaea; border:0!important; border-left:4px solid #34495E!important; box-shadow: 0 1px 2px rgba(0, 0, 0, 0.17); -moz-box-shadow: 0 1px 2px rgba(0, 0, 0, 0.17); -o-box-shadow: 0 1px 2px rgba(0, 0, 0, 0.17); -webkit-box-shadow: 0 1px 2px rgba(0, 0, 0, 0.17); text-decoration:none; } .ud7aaabdda4531fd33b9bb4f6fac25ac1:active, .ud7aaabdda4531fd33b9bb4f6fac25ac1:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; text-decoration:none; } .ud7aaabdda4531fd33b9bb4f6fac25ac1 { transition: background-color 250ms; webkit-transition: background-color 250ms; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; } .ud7aaabdda4531fd33b9bb4f6fac25ac1 .ctaText { font-weight:bold; color:inherit; text-decoration:none; font-size: 16px; } .ud7aaabdda4531fd33b9bb4f6fac25ac1 .post Title { color:#000000; text-decoration: underline!important; font-size: 16px; } .ud7aaabdda4531fd33b9bb4f6fac25ac1:hover .postTitle { text-decoration: underline!important; } READ From IT School to an IT CareerThree areas of emphasis are offered in the Master of Science in Criminal Justice degree from the University of Wisconsin, Platteville. The first is criminal justice theory emphasis, appropriate for continuing education in a PhD program, teaching at the college level, or a career in government research. The criminal justice management emphasis is tailored for those seeking promotion into administrative positions. The last emphasis is the victim and offender service program for those interested in working with crime victims, juveniles, probation and parole clients. The University of Massachusetts Lowell offers a Masters Degree in Criminal Justice, and has been named one of the best in the country. This degree serves four types of students: Those seeking a masters degree as a prerequisite for entry into the criminal justice field. Individuals currently in service who wish to broaden skills and expertise. Those in the criminal justice system seeking to specialize within the system. Candidates wishing to obtain the training necessary to meet the growing need for teaching criminal justice. .u0541755d81234ff5da30bd8a9ebd6246 { padding:0px; margin: 0; padding-top:1em!important; padding-bottom:1em!important; width:100%; display: block; font-weight:bold; background-color:#eaeaea; border:0!important; border-left:4px solid #34495E!important; box-shadow: 0 1px 2px rgba(0, 0, 0, 0.17); -moz-box-shadow: 0 1px 2px rgba(0, 0, 0, 0.17); -o-box-shadow: 0 1px 2px rgba(0, 0, 0, 0.17); -webkit-box-shadow: 0 1px 2px rgba(0, 0, 0, 0.17); text-decoration:none; } .u0541755d81234ff5da30bd8a9ebd6246:active, .u0541755d81234ff5da30bd8a9ebd6246:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; text-decoration:none; } .u0541755d81234ff5da30bd8a9ebd6246 { transition: background-color 250ms; webkit-transition: background-color 250ms; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; } .u0541755d81234ff5da30bd8a9ebd6246 .ctaText { font-weight:bold; color:inherit; text-decoration:none; font-size: 16px; } .u0541755d81234ff5da30bd8a9ebd6246 .post Title { color:#000000; text-decoration: underline!important; font-size: 16px; } .u0541755d81234ff5da30bd8a9ebd6246:hover .postTitle { text-decoration: underline!important; } READ Employment Opportunities With an Associate's Degree in Criminal JusticeThe U. S. Department of Labor has predicted that by 2017 there will be more than a 29% increase in the demand for FBI Agents, Police Officers, Private Detectives, and U.S. Customs Agents. Most of the best jobs in criminal justice require an advanced Criminal Justice Degree. To take your place among this elite group of law enforcement professionals, get online and get started. You can make your world and the world around you a better place. Related ArticlesFind Online Law and Social Science Degree ProgramsCareer Opportunities With a Criminal Justice DegreeOnline Criminal Justice Program Practice Law Enforcement for the Courts as a BailiffHelping the Nation With an Online Associates in Criminal JusticePrepare for Leadership Positions with a Criminal Justice Administration ProgramCriminal Justice Bachelor Degree Single Parents in Colorado Find Convenience at Kaplan University
Wednesday, January 1, 2020
Digital Citizenship - Free Essay Example
Sample details Pages: 1 Words: 394 Downloads: 8 Date added: 2019/04/15 Category Society Essay Level High school Tags: Citizenship Essay Did you like this example? After the digital citizenship post, I learned thatdont give your life a lemon~ Do you know a stunning fact that nowadays we have approximately 2,095,006,005 online users around the world? Donââ¬â¢t waste time! Our writers will create an original "Digital Citizenship" essay for you Create order Do you notice that your friends eyes including yours are glued to electronic devices such as Ipads, Iphones, smartphones, etc every day Also, do you know that teens spend almost 9 hours per day on social platforms, and about 30 % of that time is allocated to social media such as Facebook, Twitter, and Instagram (Social Wall by Peter Krobath via Flickr CC BY-NC-ND 2.0) Please! Dont be stuck in the social media for a long time! Nowadays, with the advent of advanced technology, people are totally immersed in the world full of social media. Hey, guys, dont spend too much time there. (Facebook Is The Anti-Christ Just Like MySpace Was Satans Little Helper! by Lance Scurvin via Flickr CC BY-NC-ND 2.0) Dont you know that if you hang out with your friends there for so long, your ideas will be restricted only by your friends in the closed system, and other different beliefs, ideas, and ideologies will be cemented. This phenomenon is called Echo chamber, in which filter bubbles filter out all of the other ideas, which restricts your independent and creative thinking ability. Plz! Dont be stuck in the social media! Try to think outside the box!!!! (Living in a box by OlliL via Flickr CC BY-NC-ND 2.0) Do you have a chance to interact with a person today? Hey! Guys, its time for you to think about your life? Do you have a conversation with anyone today? Hey, dont get me wrong! Here, I mean having conversation with strangers, or someone you dont know very well. Do you have a conversation with anyone today? Its true that everyone craves connection and interaction with others, but now, many people use the social media to make anonymous friends on the other side of the world. Dont you think that whoever spends too much time chatting on line makes you feel the person is pathetic? You have to know that though its AWESOME to make friends online, you even at the end of the day, dont really understand what your online friend is really about! Worse, you become disconnected with the society and your real-world friends because you devote too much time and energy online chatting with your anonymous friends.
Tuesday, December 24, 2019
Project Success And Success Criteria - 1376 Words
2.4 Project Success and Success Criteria The idea of the project success and its criteria has remained vague, due to the wide perspective it carries (Liu and Walker, 1998). Project success has always been seen as an abstract notion, thus it is very complex to determine if a project is a success or not (Chan et al, 2002). Thus, the criteria for measuring the projectââ¬â¢s success are normally agreed and accepted by all parties, before beginning the project. Else, it is hard to control the trajectory of the project, with all team members finding it hard to focus in one direction. The Success of the Project management is measured through the three key components ââ¬â Time, Cost and Quality. The success of the project is typically measured basedâ⬠¦show more contentâ⬠¦This combination is very popular by name, The Triple constraint or The Iron Triangle or The Project Management Triangle. Schedule, cost and quality are the three primary variables of a project. When one of these parameters alters, the other two parameters will also change correspondingly. The way the project is delivered within these constraints, it impacts the quality of the project outcome, either positively or negatively. 2.5 Project Work-breakdown Structure In order to plan and properly execute a large project, it must be broken down into smaller levels in an organized manner (Shlomo Globerson, 1994). The Work Breakdown Structure (WBS) is a structured approach of breaking down the project using a deliverable-oriented hierarchical structure, which helps the team to accomplish objectives and deliver per plan. Each descending step of the WBS represents an improved and detailed explanation of the work to be executed (PMBOK 4th edition, 2008). Robert K. Wysocki and Rudd McGary explain that Work-breakdown structure as a hierarchical detail of the work to be completed, as described in the project definition statement. The WBS helps to organize the project scope in a structured manner; this represents the work specified in the project definition statement (PMBOK 4th edition, 2008). The process of breaking down the project scope into activities, tasks and subtasks is called decomposition. Decomposition helps to estimate the project duration, calculate the
Monday, December 16, 2019
Introduction to the Finance Company Project Free Essays
Introduction to the Finance Company Project Your team is required to analyze the future business and economic prospects of a major, publicly traded corporation using financial concepts and techniques as well as the concepts and techniques from other business areas. Make sure any statements you make in your analysis are consistent with the knowledge base of finance. Also please include your calculations (including spreadsheets), data sources (be specific, including date and page number(s)), and assumptions (explain your rationale) in the appendices. We will write a custom essay sample on Introduction to the Finance Company Project or any similar topic only for you Order Now While your analysis should be geared toward finance, nobody, of course, can make business decisions using solely finance techniques and concepts, so where applicable, incorporate techniques and analysis from other business fields. The following is a list of the minimum requirements for your project. Additional credit will be given for creativity and analysis beyond the minimum requirement. If you have any questions, please e-mail them to your instructor. (1) EXECUTIVE SUMMARY: Provide a one (1) page executive summary which summarizes your findings and provides a recommendation whether to buy or not to buy the stock and the debt securities of the company (two separate decisions). (2) COMPANY INTRODUCTION: Provide a one page (1) introduction to your company including: company history, strategy, main products services, primary markets customers, major competitors, industry overview, and other relevant information. (3) FINANCIAL ANALYSIS: Conduct a two-year financial analysis of your company using financial ratios. Include a Du Pont analysis. You can refer to your Essentials of Business I Corporate Annual Report project for the appropriate ratios. ) Comment on the financial health of the company. Please look at ratio trends and compare to industry average. (4) WEIGHTED AVERAGE COST OF CAPTIAL (WACC): Estimate the components of the cost of capital for your company using market data. a) For the cost of common stock, analyze using the dividend growth model and CAPM. To determine Beta, first use published sources. Next, calculate your own beta estimate using regression analysis with 52 weeks of daily data. See the textbookââ¬â¢s website to download the regression tool kit from Chapter 6. If the published estimates and the results of your regression analysis differ, justify your final choice of Beta for the WACC determinations. b) Calculate the cost of preferred stock c) Calculate the cost of debt. Recall that you do NOT use the coupon rate, but instead use the YTM for each bond issue. d) Determine the appropriate weights for each of the categories using market values. e) Calculate the companyââ¬â¢s WACC. f) In your opinion, has the company minimized its WACC? What could it differently? Recall that more debt increases the risk of bankruptcy and more equity means the flotation costs of issuing stock. g) Provide reasons why or why not the current WACC is appropriate for future use by the company. If not, explain which WACC should be used for future business decisions. (5) FUTURE CASH FLOWS: Prepare a three (3) year forecast of estimated future cash flows for you company and give valid economic/business reasons for your projections. This means you will have a statement of incremental cash flows. One year in the future, develop a future market value of equity and an estimated future price per share for the companyââ¬â¢s common stock. Write a 1 page analysis, which incorporates marketing, accounting, sales, production, management, technology, etc. information into your estimates of future cash flows. Please cite 2-3 media sources for this analysis. a) Perform a what-if analysis for your cash flows using at least one of the following: sensitivity analysis, scenario analysis, or simulation analysis. Also, provide a written summation of your what-if analysis. ) Collect and evaluate information on inflation estimates and incorporate those estimates, as you see fit, into your cash flow estimates. c) Comment on how future cash flows maybe be affected by information contained in the footnotes to the financial statements. Footnotes are often more interesting than the rest of the financial statements and provide valuable information. d) Do a brief analysis of your competitors, the p rospects of their future cash flows, and how that affects your companyââ¬â¢s cash flows. e) Conduct a ââ¬Å"post-auditâ⬠of one (or more) of your companyââ¬â¢s major past projects and ncorporate this qualitatively into your estimates of future cash flows. (6) HISTORICAL STOCK PRICE: Review briefly the historical performance of the companyââ¬â¢s stock price. Explain if this affected your analysis. (7) SECURITY ANALYSTââ¬â¢S REPORTS: Evaluate what securities analysts are saying about your company, and explain if you agree or disagree with their recommendations. What is the sentiment for your stock: are there a lot of buy recommendations or are there a lot of hold/sell recommendations? (8) DIVIDEND and CAPITAL STRUCTURE: ) Analyze the current dividend policy of your company. If it doesnââ¬â¢t pay a dividend, should it? b) Analyze the target capital structure of your company including bank loans, leases, and other financial securities issued in addition to preferred stock, common stock, and debt. Why do you think it maintains the capital structure it does? Do you think it is an optimal capital structure? If not, what do you think would be? Justify your answer. c) Does your company have a substantial degree of informational asymmetry (assets which are hard for outsiders to value)? Do you think this affects the capital structure of your company? (9) CORPORATE GOVERNANCE: Comment on the corporate governance of your company. Is management doing a good job? Does management hold shares in the company? What is their percentage of equity ownership? How much stock do institutions own? Do you think these factors affect your companyââ¬â¢s performance? (10) MERGER and INTERNATIONAL STRATEGY: Describe and evaluate the merger and acquisition strategy and the international expansion strategy for your company. How to cite Introduction to the Finance Company Project, Papers
Sunday, December 8, 2019
Statistics and Math
Question: Discuss about the Statistics and Math. Answer: Introduction An appropriate height and weight is essential in order to have an appropriate BMI. Age is also an important factor that affects the weight of a person. Both male and female wants to have a perfect weight in according to their height and age. They go to gym for this purpose and they do regular exercises outside the gym. It is seen that some of the customers have different viewpoint regarding the equipments of gym. In this assignment, an idea would be given about the various measures of statistics. These measures of statistics would be explained in this assignment and they would be used in the data of the gym which includes height, weight, BMI, age, and the responses regarding the visit to the gym. Graphs and charts would be provided in this assignment in order to give a clear idea about the various measures of statistics in context of these data. Summary and Explanation of Descriptive Statistics Discrete and Continuous Variable The values of the variable that are obtained by counting is called discrete random variable. When the random variable takes any value in the range of two specific values, the variable is called continuous variable. A variable that can take infinitely many uncountable values is called continuous random variable (Vogt and Barta 2013). The discrete variables in this research are Do you do regular exercise outside of the gym and Is it important to have a high variety of equipment. The continuous variables in this research height and weight. Descriptive Statistics Mean and median had been used in order to study the data set. The mean and median was calculated for the two continuous variables; height and weight. Mean is defined as the average of the values of the variables in the data set. It is calculated by dividing the sum of all the values of the variable by the number of values of the variable (Kock 2013). There are three types of means that are used in statistics. They are arithmetic mean, geometric mean and harmonic mean. Generally, arithmetic mean is used in the descriptive statistics. The height and weight of 100 samples would undergo arithmetic mean as they are continuous variables and it would provide the average height and weight of the staples in the survey. The mean of the continuous random variable was found to be 170.55 units while the mean of another continuous random variable, weight, was found to be 76.36 units. Median is defined as the middle value of the data set when the data are arranged in either ascending or descending order. Median is the second quartile of the data set and it separates the higher value of the data set from the lower values (Vogt and Barta 2013). Median is superior to mean in the viewpoint that median is not much skewed and it is not much affected by higher or lower values. The median of the variable height was found to be 170 units while the median of the variable weight was found to be 77 units. Figure 1: scatter plot of the values of height (Source: created by author) Figure 2: scatter plot of the values of weight (Source: created by author) The two measures of variations that are standard deviation and range. Standard deviation is defined as the deviation of the values of a variable from the mean of the variable in the data set (Allen 2013). A lower value of standard deviation indicates that the values of the variable lies closer to the mean while higher value indicates that the values of the variable are widely spread (Statistics 2013). The standard deviation of the variable, height was found to be 12.81. It shows that the values of heights of the chosen sample are moderately spread over the data set. The standard deviation of the variable, weight was found to be 15.22. This shows that the values are moderately spread over the data set. Another measure of variation is range. It indicates the difference between the maximum and minimum values of the variable. This provides the idea about the highest and lowest values of the variables. The range of variable, height was found to be 49 while the range of the variable weight was found to be 63 (Lake 2013). This shows that the highest and lowest value of height in the data set is 194 units and 145 units respectively, while the highest and lowest value of weight was found to be 109 units and 46 units respectively. Random Variable and its Probability Distribution On considering discrete random variables, Do you do regular exercise outside of the gym and Is it important to have a high variety of equipment, the proportion of samples who do not do regular exercise outside the gym was found to be 0.54 and the mean of the variable (np) was found to be 54 while the variance (npq) was found to be 24.84 (Hong 2013). The proportion of the sample who said that it is not important to have a high variety of equipment was 0.3, mean (np) was found to be 0.30 while the variance (npq) was found to be 21. It shows that both the discrete variables are highly deviated from the mean value of the variable. "Height and weight are the two continuous variables that are considered for the research. Both the continuous variables are found to follow normal distribution. A distribution is said to be a normal distribution when the mean, median and mode of the continuous variable almost coincide with each other. Under the central limit theorem, it is seen that the averages of the random variables which are independently drawn, converge to normal distribution. Normal distribution is generally used in sampling distribution due to central limit theorem. It is seen that the mean, median and mode of the continuous variables, height and weight almost coincide with each other. The skewness of both the variables is nearly equal to zero and the kurtosis has a slightly negative value. Thus, height and weight is considered to follow normal distribution. Hypothesis Test Hypothesis test was performed between two continuous random variables, height and weight at 95% level of significance. The hypothesis test was conducted to check whether height is independent of weight or not. Two tailed t-test was conducted at 5% level of significance for this purpose (Kruschke 2013). The null hypothesis and alternative hypothesis framed for this test is as follows: H0: height and weight are independent of each other H1: height and weight are dependent of each other On performing two tailed t-test at 5% level of significance, the p value of the test was found to be 6.6459E-110 (de Winter 2013). This value is found to be less than 0.05 and it shows that the hypothesis test is significant. The null hypothesis is rejected in this case and it can be interpreted that the height and weight are dependent on each other. Regression Snalysis Regression analysis was performed considering BMI as the dependent variable and height and weight as the independent variables. The correlation coefficient between the dependent variable and independent variables was found to be 0.98579 (Draper and Smith 2014). This shows that the dependency of the dependent variable on the independent variables is high. The independent variables influence BMI to a larger extent. The regression equation found in the case is as follows: BMI = 51.37692 0.30174 * height + 0.342475 * weight The regression equation shows that with the change in one unit of height, the BMI would change by 0.30174 units while with change in one unit of weight, the change in BMI would influence by 0.342475 (Montgomery et al. 2015). On absence of the values of height and weight, it is seen that the BMI of the chosen sample would be 51.37692. Figure 3: line fit plot of height (Source: created by author) The line fit plot is plotted with BMI on y-axis and height on x-axis. It is seen that the actual and predicted values of the variable height lies near to each other (Kleinbaum et al. 2013). This shows that the model is a good fit model and the regression model can be used for further extrapolation or interpolation. Figure 4: line fit plot of weight (Source: created by author) The line fit plot is plotted with BMI on y-axis and weight on x-axis. It is seen that the actual and predicted values of the variable weight lies near to each other. This shows that the model is a good fit model and the regression model can be used for further extrapolation or interpolation. Conclusion On analyzing the given data, it can be concluded that height and weight are the two continuous variables considered in the assignment. The two discrete variables in the assignment are Do you do regular exercise outside of the gym and Is it important to have a high variety of equipment. The average value of height and weight was found to be 170.55 units and 76.36 units respectively. The median value of height and weight was found to be 170 units and 77 units respectively. The standard deviation of height and weight was found to be 12.81 units and 15.22 units respectively while the range was found to be 49 units and 63 units respectively. The probability distribution of the discrete random variables was found to be binomial distribution. Hypothesis test was conducted between the two variables height and weight. The result of the hypothesis test was found that the height and weight are dependent on each other. Regression analysis was performed considering BMI as the dependent variable a nd height and weight as the independence variables. The regression equation was found to be BMI = 51.37692 0.30174 * height + 0.342475 * weight. It was also seen that there exists a strong correlation between the dependent variable and independent variables. Recommendation It is recommended that the gym instructors must influence the customers to do regular exercise both in gym and outside gym. It would help them to stay fit and healthy. It is also recommended that the customers must be given an idea about the ideal BMI and they should be instructed and influenced to exercise accordingly. Thus, the customers in gym would have a perfect BMI and they would stay fit after exercising. References Allen, D., 2013. Measures of Central Tendency. de Winter, J.C., 2013. Using the Students t-test with extremely small sample sizes.Practical Assessment, Research Evaluation,18(10), pp.1-12. Draper, N.R. and Smith, H., 2014.Applied regression analysis. John Wiley Sons. Hong, Y., 2013. On computing the distribution function for the Poisson binomial distribution.Computational Statistics Data Analysis,59, pp.41-51. Kleinbaum, D.G., Kupper, L.L., Nizam, A. and Rosenberg, E.S., 2013.Applied regression analysis and other multivariable methods. Nelson Education. Kock, N., 2013. Using WarpPLS in E-Collaboration Studies: Descriptive Statistics, Settings.Interdisciplinary Applications of Electronic Collaboration Approaches and Technologies,62. Kruschke, J.K., 2013. Bayesian estimation supersedes the t test.Journal of Experimental Psychology: General,142(2), p.573. Lake, L., 2013. Basic Descriptive Statistics: Measures of Central Tendency. Montgomery, D.C., Peck, E.A. and Vining, G.G., 2015.Introduction to linear regression analysis. John Wiley Sons. Statistics, A.E.R.D., 2013. Measures of Central Tendency. Vogt, A. and Barta, J., 2013.The making of tests for index numbers: Mathematical methods of descriptive statistics. Springer Science Business Media.
Subscribe to:
Posts (Atom)