Wednesday, October 30, 2019
I can express in a personal letter, different feelings and can report Essay
I can express in a personal letter, different feelings and can report the news of the day making clear what in my opinion are the important aspects of an event - Essay Example The United Kingdom is on the cusp of historical change and I am here to witness it first hand thanks to your unwavering support of my academic pursuits. Without your sparkling recommendation letter to my current university, I doubt I would have been in the unique position to witness British history as I am now. As the Duke and Duchess of Cambridge begin to create their new family with Prince George, I can see that the future of the monarchy is ever bright and that I am a very lucky person to be able to witness all of these changes in the United Kingdom first hand. I will always be grateful to you for your part in helping me succeed in life. You are a unique educator and I wish there were more like you out there because I am sure there are a lot more students who were like me in the past who need your influence to help guide them during their pivotal
Monday, October 28, 2019
The novel Great Expectations Essay Example for Free
The novel Great Expectations Essay Great Expectations was written by Charles Dickens in the 19th century (1860-1861). It is said to be one of the classics of the English literary heritage and several film adaptations have been made of it. It first appeared in a weekly magazine called All the year round. Great Expectations is a book in which Dickens returned to the theme of a youths discovery of the realities of life. An unknown person provides the young hero, Pip, with money so that Pip can live as a gentleman. Pips pride is shattered when he learns there source of his Great Expectations. Only by revising his values does Pip restore his life on a foundation of empathy rather than on social position. In this coursework I shall be comparing two film versions: David Leans 1944 black and white version starring John Nutts and the 1997 colour version directed by Alfonso Cuaron which features, Ethan Hawke; Gwyneth Paltrow; Anne Bankcroft and Robert Deniro. I intend to compare the opening chapters in the two film versions, in which the young Pip/Finn encounters a scary convict who later becomes a momentous figure in Pips life.Ã Both films start with the adult voice of Pip/Finn reflecting on his childhood. The David Lean (1944) version closely follows the actual text whereas Alfonso Cuarons Version follows a sequential order but digresses greatly from the text. As the credits began rolling there are a variety of styles of music. The first style that we hear is a full orchestra and it then harrows down to only one flute which plays a childish style of music which is obviously representing the young PIP. Afterwards it goes into a romantic mood and after that a sad mood. It finally becomes a symphony of emotion to signify the films happy ever after ending. In the opening scene we start with a long shot of Pip and the tracking of pip across the field. At the camera is tracking Pip we see many images of death, for example as Pip is running the audience see a number of Jibbets. As Pip is running the audience is able to see how closely David Lean has followed the text. The marshes are seen to be just a long black horizontal line and the river a long horizontal line but not much thicker. The sky is also just a row of angry red lines and dense black ones. The camera again zooms in on Pips face to show us his apprehension as he climbs over the wall. The audience is able to see many gravestones are crooked and a lot of plants and weeds are overgrown. This suggests that this churchyard is uncared for. This adds tension to the opening scene because we wonder why this young child is there. All throughout the opening scene there is wind sound affects. The wind is an eerie sound which also adds to the tension of the scene. When I was watching Pip I felt a lot of sympathy because I had seen from the gravestone that both of his parents had died and learned that his only relative was his sister who he lived with and she wasnt exactly a ray of sunshine. Alfonso Cuarons version also starts with the credits first which is unusual for a modern day film. As the credits begin there is soft music with very exotic instruments such as a rainpie. The letters of peoples names appears in a fluid pattern, which gives us a watery feeling. This s a good technique as it sets the audience up for the opening scene where things are not necessarily as they seem. The first thing the audience sees is the character of Finn Pip) looking at the fish and then climbing into the boat. Finn takes out a notebook and begins to draw. At this point there is virtually no tension as there is an ordinary boy who is playing in the sunshine and frankly looks quite happy. There is none of the heart tugging emotion that is apparent in Leans black and white version. Finn then climbs out of his boat and carries on looking for more fish to draw. All of a sudden there is a big cloud of red forming underneath the water then a hand comes out of the water and grabs Finn and we realise that this is the convict. This method is more effective than Leans version because it is so unexpected; there is virtually no tension at all up to this point. Whereas Leans version builds the tension up so high that we actually expect something to happen to PIP. I assume that David Lean directed his film as he did in order to retain the essential authenticity of the book. This was important for Lean to do because the book has a way of taking you out of your own reality and this was what the people of 1944 needed to get away from the Second World War. Whilst the 1997 version is not trying to reproduce a historical piece- it is a modern version of the plot transposed to America. I believe that Cuaron did this in order to make the film more realistic, so that the audience could feel that this can happen to anybody. In doing this Cuaron lost the essence of the plot, with its fairytale ending. The similarity that I have seen in the two films is the contrast of Pip/Finn compared to the convict. The directors are both trying to balance Pip/Finns innocence compared to the convicts corruption. Lean does this by keeping Pip polite and sincere all the time while the convict is strangling and pushing him etc. Cuaron does this by making the convict swear to scare Finn; I feel that Cuaron does this because he thinks he needs to do more to shock the modern day. The main differences between the two versions are the location, setting and background. For example Cuarons version had an American actor doing Finns voiceover, it took away some of the reality of the film because I feel that Great Expectations is so typically English. I can agree to some extent that both films had a strong opening which is essential in a film. The reason for this is because if there is a weak opening t the film you will not want to watch the rest of it; the same when reading a book if the first few chapters are not engaging you will not want to finish the book. Generally I preferred David Leans version because it kept to the book. Maybe I might have differently if I hadnt read the book first, but the 1997 version deviated from the book so much that I was confused which character was meant to be which. Lea I felt was also much more effective in setting up the story. Although both films id follow a chronological order, David Leans 1944 version kept very closely to the text where as the coloured version altered the location and dialogue of the novel.Ã David Lean built up the tension first using sound effects I.e. wind and bustling trees, the dreariness of the marshes and using the numerous visions of death I.e. the jibbet and the crooked gravestones.
Saturday, October 26, 2019
Essay --
Self-Motivation Motivation is a vital factor to be a successful leader in work place. Motivation often increases and decreases at the office due to a variety of factors. Higher motivation leads to better productivity and developed quality of work. Keeping motivation levels high helps to achieve more in the workplace. If anyone feeling unmotivated when sit down at workstation productivity will goes down. If employees are demotivated in the work, self-motivation make it easier to stay on track and produce high-quality work. How employee make them self-motivated, following steps are given bellow- People who have a healthy level of self-confidence is probable applicants who is able to control the situation and able to reach goals. Self-confident are more likely to take big goals and tackle challenges that others avoid. Confidence or self-believe, leads to a quiet resolve pushes the individual across to finish. Building personal confidence by taking a mental inventory of past achievements, no matter how small. Remember any strengths or weaknesses that you observed and consider how you can improve upon them. This exercise increases self-motivational energy. Furthermore, goals are always obtainable, but motivation is the oil that helps to achieve victory. Goals give motivation a focus, making goal-setting crucial. When a person run or manage a small work, must set personal and company goals. Self-motivators may consult resources such as books and even attend seminars for motivation, but setting personal and professional goals is important. Positive attitudes are always leads a person to be self-motivated. Success begins as a positive thought, a belief that you can achieve something. A positive thinker sees the "win" before it happens a... ... needs. It is an internal engine, and its benefits show up over a long period of time. Because the ultimate reward in motivation is personal growth. The only way to motivate an employee is to give him/her challenging work for which he/she can adopt responsibility. Motivation is so complex and so important, successful employees always keep eyes on future work. Employees are the companyââ¬â¢ best assets. If employees are not self-motivated, it will have a tremendous effect on productivity. The organizationââ¬â¢s efficiency will decline by unmotivated employees. Proper motivation of employees is directly associated with productivity and with maintenance factors. Workers who are content with their jobs, who feel challenged, who have the opportunity to fulfill their goals will exhibit less destructive behavior on the job. So, self-motivation is more important than other factors.
Thursday, October 24, 2019
Police Powers
Legal Studies | Outline some of the power police have to conduct an investigation. How does the current system balance the need for justice with the rights of citizens? The law defines what a crime is and whether a particular act constitutes an offence. The responsibility for enforcing criminal laws and ensuring they are adhered to lies with the police. The police are a part of an executive arm of government and so are separate from the legislature who makes the laws and the courts that make enforceable legal decisions and judgements.The responsibility that police have is the prevention and detection of crime and the maintenance of public order, but most importantly it is the police that are responsible for ensuring the criminal laws are observed. The role the police have in the criminal investigation process is to investigate crimes, make arrests if necessary, interrogate suspects and gather evidence against the accused. Once all evidence is collected police will then present the ev idence for judgement to the court on behalf of the state, either directly or through a prosecutor.An example a newspaper article titled ââ¬Å"tougher terror lawsâ⬠gives us an example of police having power to enter a home without a warrant and re-entered after twelve hours during an emergency under new anti-terror laws. Labour and the collation voted together in the senate last night to pass the legislation, this then create a joint parliamentary committee to monitor the AFP (Australian Federal Police) and the Australian Crime Commission. After a seven day detention limit for someone arrested on suspicion of terrorism the legislation was disregarded.This is an example police not using a warrant to enter a home. The article was specifically about terrorism and creating new legislation for anti-terror laws; in this case the legislation did no pass and was disregarded. Since this case there has been much legislation that has passed for instants The Anti-Discrimination Act 2004 w hich includes amending the Crimes Act 1914 to strengthen the powers of Australiaââ¬â¢s law enforcement authorities setting minimum non-parole periods for terrorism offences and tightening bail conditions for those charged with terrorism offences as well as other initiatives.To the Anti-Discrimination Act 2004 there has also been The Anti-Discrimination Act (No. 2) 2004, The Anti-Discrimination Act (No. 3) 2004 as well as Anti-Terrorism Act (No. 2) 2005 which this basically which amends the Criminal Code to allow for the listing of organisations that advocate the doing of a terrorist act as terrorist organisations, establishes procedures for preventative detention and control orders, updates the offence of sedition and other measures.Another example I have is also from a newspaper titled ââ¬Å"DNA on demandâ⬠which basically talks about New South Wales police having the power to demand DNA samples from any offender regardless of the severity of the crime. The power was appro ved by cabinet as part of a legislative package focused largely on anti-terrorism measures. Police have been given the tools to fight terrorist and other criminals. Under this new legislation police will be able to demand a hair sample or mouth swab after any arrest no matter how minor. All police have to do is believe that the sample will link the offender to the crime.There are also other measures which include police being able to use spikes as a weapon against terrorism or major crime suspects. But the civil libertarians accused the government of creating a peace state monitoring every aspect of the lives of its citizens. Both ââ¬Å"tougher terror lawsâ⬠and the article above both obviously is about creating anti-terrorism laws and how there should be tougher laws to make Australia terrorism free and keep the citizens safe because everyone has the rights to feel safe in the environment that they are living in. Police Powers Police Powers INTRODUCTION Police powers are defined as ââ¬Å"legal abilities to perform actions that would otherwise be legally forbidden; they are not duties to perform actions to which the law would otherwise be indifferentâ⬠(Shiner, 1994). Police exercise powers with respect to detention and arrest, search and seizure, use of force, and interrogation of crime suspectsââ¬â¢ . The degree to which police exercise these powers vary from one case to another. A police force with unlimited power might be more effective, but it would interfere with the freedoms citizens to enjoy.Thus, one major problem permeates the whole field of police powers: how to frame the law to give police adequate powers to perform their law enforcement duties, while at the same time ensuring that such powers do not allow arbitrary and unreasonable interference by the police with the freedom of the individual (Lambert, 1986). Lambert (1986) has stated that, police forces are expected to use powers of c oercion to function efficiently. He acknowledges that powers to detain suspects against their will are essential elements of the investigative process.He also suggests that, there will always be circumstances, where police forces will need to stop and question people, search them and their premises or vehicle and take them to the police station in order to proceed with the investigation, if need be, by force. This would enable them to carry out their job successfully. This term paper looks at two police powers namely the power to detain and arrest and the power to search people and places to seize evidence that are essential to ensure order and pursue criminals, while protecting the rights of citizens.Canadian criminal offences do not all have the same degree of severity. Understanding the classification of criminal offences is essential before discussing about arrest and detention. Arcaro (Arcaro, Classification of offences, 2003), has classified criminal offences in two categories : 1. Summary Conviction: Minor criminal offences that include indecent acts, disturbances, trespassing at night et cetera. 2. Indictable:Major criminal offences that include first degree murder, infanticide, kidnapping et cetera. ARREST AND DETENTIONThe term arrest has been defined as ââ¬Ëactual restraint on a personââ¬â¢s liberty, without that personââ¬â¢s consentââ¬â¢, and ââ¬Ëphysical custody of a person with the intent to detainââ¬â¢ (Arcaro, Arrest without warrant, 2003). It involves a statement that person is under arrest and may/may not involve physical touch of the person In Canada, The power to arrest is provided by the Criminal Code and other federal statues as well as by provincial legislation such as motor vehicle statues. An arrest can be made to prevent a crime from being committed, to terminate a breach of the peace, or to compel an accused person to attend the trial (Griffiths, 2007).Griffiths (2007) proclaims that only a handful of criminal suspec ts are ââ¬Å"formally arrestedâ⬠when they are charged with an offence. He claims that most of them are issued an appearance notice by the police officer or are summoned to court by a justice of the peace (JP). He states that, sometimes, the police have to respond quickly without securing a warrant from JP. Section 495(1) C. C states four circumstances where a police officer can arrest a criminal suspect without a warrant: 1. Find a person committing a criminal offence 2. Reasonable grounds that a person has committed an indictable offence. . Reasonable grounds that a person is about to commit an indictable offence. 4. Reasonable grounds that a valid warrant exists in the territorial jurisdiction in which the accused person is found. (Arcaro, Arrest without warrant, 2003) Two additional conditions apply to making an arrest. First, the officer must not make an arrest if he or she has no ââ¬Å"reasonable groundsâ⬠. Reasonable Grounds has been defined by case law as ââ¬Å" a set of facts or circumstances which would cause a person of ordinary and prudent judgment to believe beyond a mere suspicion (Arcaro, Arrest without warrant, 2003). A police officer must have reasonable grounds that an indictable offence has been committed. Second, the officer must believe on ââ¬Å"reasonable groundsâ⬠that an arrest is ââ¬Å"necessary in the public interest. â⬠This is defined specifically as the need to: 1. Establish the identity of the person; 2. Secure or preserve evidence of or relating to the offence; and/or 3. Prevent the continuation or repetition of the offence or the commission of another offence. (Griffiths, 2007) In practice, arrests are usually made only in the case of indictable offences.For summary conviction offences, arrest is only legal if the police finds someone actually committing the offence or if there is an outstanding arrest warrant or a warrant of committal. The Supreme Court of Canada has held that a detention occurs when a p olice officer ââ¬Å"assumes control over the movement of a person by a demand or direction that may have significant legal consequence and that prevents or impedes access to legal counsel. (Griffiths, 2007)â⬠. Detention is a part of arrest, but a person can be detained without being arrested.Upon arrest or detention, the suspect can choose between exercising charter rights or not. According to Section 10 of the Charter, anyone who has been arrested or detained has the right to be informed promptly of the reason for the arrest or detention. That person also has the right to instruct counsel without delay and to be informed about that right. Suspects have a right to retain counsel but do not have an absolute right to have that counsel paid for by the state. When an arrested or detained person does not have a lawyer, police must inform the suspect of a toll-free number that offers free preliminary advice.They must hold off on further questioning to give the suspect an opportunity to access this advice. Failure to do so is considered as an infringement of suspectsââ¬â¢ Charter rights. SEARCH AND SEIZURE ââ¬Å"Search and seizureâ⬠is defined as the power of the police to search people and places and to seize evidence. Griffiths (2007) suggests that, historically, under the common law, the way evidence was gathered did not affect its admissibility in a criminal trial. This scenario was changed by Section 8 of the Charter which protects all citizens against ââ¬Å"unreasonableâ⬠search and seizure.Section 24 of the Charter requires evidence from an illegal search to be excluded from the trial as is would bring the justice system into disrepute. As a result, conditions and requirements have emerged regarding prior authorization for a search. Generally, a search warrant must be issued. A search warrant is a written document that represents judicial authorization for peace officers to enter and search a specific place for specific items, and to seize those items that are evidence to the offence, if they are found (Arcaro, Search and Seizure, 2003).Arcaro (2003) explains that search warrants must be preceded by an application; they are not automatically granted on the basis of a request by a police officer. He states that, justice may issue a search warrant if reasonable grounds exist to believe that there is in a building, receptacle or place: 1. Anything on or in respect of which any criminal offence under any federal statute has been, or is suspected of having been committed, or 2. Anything that is reasonably believed to be evidence of an offence against the criminal code or other federal statutes. . Anything that will reveal the whereabouts of a person who is believed to have committed any classification of criminal offence; 4. Anything that is intended to be used for the purpose of committing any criminal offence, against the person for which a person may be arrested without a warrant. Essentially the warrant authorizes the search for and seizure of tangible, physical items that are evidence that proves the commission of any classification of offences under any federal statute.The general contents of a search warrant include applicantââ¬â¢s name and signature, the place intended to be searched, description of the items to be searched for, the offence that the evidence to be searched for will prove, and reasonable grounds for belief that the items are in the place (Arcaro, Search and Seizure, 2003). All of the above contents must be sufficiently proven to a justice. If one area is deficient, the application will be rejected. Box 4. 4 (Griffiths, 2007) illustrates a situation where Supreme Court expanded police practice with respect to searches.Police responded to an anonymous tip from a caller regarding young men brandishing weapons by setting up a roadblock, searching for weapons in cars leaving the club. While doing so, they seized weapons from an unsuspecting vehicle. These weapons were ruled out as evidence by the Ontario Court of Appeal in acquitting the two accused, as it was obtained by means of a blockade, which was unlawful since there had been no evidence that anyone was in danger and that the police had not limited their search to vehicles described by the caller.However, the Supreme Court of Canada overturned the decision, deciding that the search was justified. It was agreed that stopping any vehicles from leaving the parking lot of the club was a reasonable response. This example illustrates that the Supreme Court has adopted more of a law-and-order stance in recent years. Works Cited Arcaro, G. (2003). Arrest without warrant. In G. Arcaro, Basic Police Powers (p. 353). Toronto: Thomson/Nelson. Arcaro, G. (2003). Classification of offences. In G. Arcaro, Basic Police Powers (p. 353). Toronto: Thomson/Nelson.Arcaro, G. (2003). Search and Seizure. In G. Arcaro, Basic Police Powers (p. 353). Toronto: Thomson/Nelson. Griffiths, C. T. (2007). Police Powers and Decisio n Making. In C. T. Griffiths, Canadian Criminal Justice (p. 367). Toronto: Nelson Education Ltd. Lambert, J. L. (1986). Arrest and Detention. In J. L. Lambert, Police Powers and Accountability (p. 230). London ; Dover, N. H. : Croom Helm Ltd. Shiner, R. A. (1994). Citizens rights and police powers. In R. S. Macleod, Police Powers in Canada: The Evolution and Practice of Authority (p. 76). Toronto: University of Toronto Press . ââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬â [ 1 ]. Formal arrest takes place when an arrest warrant has been issued against the criminal suspect. Arrest warrant is a document that permits a police officer to arrest a specific person for a specified reason. It is issued by the Justice of Peace. [ 2 ]. A document issued by a judge directing prison authorities to accept a person into custody upon his or her sentencing or a document issued by parole board to revoke an offenderââ¬â¢s co nditional release.
Wednesday, October 23, 2019
Grilled cheese math assignment Essay
In our problem for the week of special topics were are given a problem regarding achieving a best time to make grilled cheeses in a efficient manner in the shortest amount of time. The problem states; You need to make five grilled cheese sandwiches. You have a grill that is large enough to toast two sandwiches at a time. The sandwiches must be toasted one minute on each side. It takes 3 seconds to flip a sandwich and 5 seconds to take one off or put one on the grill. What is the shortest time needed to toast all five sandwiches? So with the information given we can conclude that the sandwiches have to be toasted at least 5 mins so it is obvious we cant get anything lower then 5 mins. Next we make an assumption that we can flip two sandwiches at the same time as well as take off and put on two sandwiches as well as take off two sandwiches all simultaneously. So the best way to solve this problem would be to first simpify the problem so that it is easier to see the soultion. So I decid ed to label the grill cheeses. Each side is denoted by A, B,C, D, E. So assuming the time starts for for the countdown when the two sandwiches are put on the Grill. Step 1: A B toasted one side 1 min =1min Step 2: Now Remove B and put C 5sec+5sec+3sec=13 sec( for removing B 5 sec + put C 5 sec+ flip A 3sec) Step 3 A C toasted on grill 1 min =1min Step 4: Now Remove A(completed) and put D 5sec+5sec+3sec=13 sec ( for removing A 5 sec + put C 5 sec+ flip C 3sec) Step 5 C D toasted on grill 1min =1min Step 6 (remove C(completed) ,put E, flip D) 5sec+5sec+3sec=13 sec Step 7 D E toasted on grill toasted 1 min =1min Step 8 remove D(completed), put B , flip E 5sec+5sec+3sec=13 sec Step 9 B E toasted on Grill 1 min =1min TOTAL = 5 min. 52 sec The process stops as all the five sandwiches are toasted, time is not counted for not taking the A and E off the grill. So the shortest time achievable needed for grilling all the five sandwiches as well as taking them off is 5 minutes and 52 seconds.
Tuesday, October 22, 2019
My People Myself essays
My People Myself essays The book written by Mary Lawrence (1996) called My People Myself is a great story of a native womens struggle in society. The book does an excellent job of portraying a native womens life on an Indian reserve in British Colombia. With Mary Lawrences real life story the struggles facing natives are brought to the forefront and the truths of growing up as a native Indian are described in the harsh settings of old run down houses. Readers are able to read and see that native Indians have endured great pains over the years at the hands of society and the government. The struggles that are depicted in Mary Lawrences book are in regards to physical abuse and drug abuse. In addition the author discusses sexual abuse. The book My people, myself talks about the authors struggles with drug, alcohol, and prescription pill addiction. The book goes into great detail in describing the cycles of these drugs and the methods of using and selling drugs. Mary Lawrence also discusses t! he problems she faced regarding social relationships. These relationships were with her male partners, family members and friends. The author of My people, myself was one of six children who grew up on a reserve just north of the town Vernon in British Colombia. Mary Lawrence lived with her mother and 5 siblings. Mary also lived near her Grandmother whom she loved dearly. The house in which Mary and her family lived in was old and rundown. Furthermore, the house had no electricity and running water. The family cooked using gas stoves and used candles for light. The house also had no carpeting or linoleum floors and the family used the wood stove for heat. Marys mother was also living off social assistance and since the family had no fridge she bought canned foods. From a very young age Mary was exposed to a kind of chaos that would cause turmoil for any child. Marys older brother Hugh was always breaking the rule...
Monday, October 21, 2019
Slope of Regression Line and Correlation Coefficient
Slope of Regression Line and Correlation Coefficient Many times in the study of statistics it is important to make connections between different topics. We will see an example of this, in which the slope of the regression line is directly related to the correlation coefficient.Ã Since these concepts both involve straight lines, it is only natural to ask the question, How are the correlation coefficient and least square line related?Ã First, we will look at some background regarding both of these topics. Details Regarding Correlation It is important to remember the details pertaining to the correlation coefficient, which is denoted by r. This statistic is used when we have paired quantitative data. From a scatterplot of this paired data, we can look for trends in the overall distribution of data. Some paired data exhibits a linear or straight line pattern. But in practice, the data never falls exactly along a straight line. Several people looking at the same scatterplot of paired data would disagree on how close it was to showing an overall linear trend. After all, our criteria for this may be somewhat subjective. The scale that we use could also affect our perception of the data. For these reasons and more we need some kind of objective measure to tell how close our paired data is to being linear. The correlation coefficient achieves this for us. A few basic facts about r include: The value of r ranges between any real number from -1 to 1.Values of r close to 0 imply that there is little to no linear relationship between the data.Values of r close to 1 imply that there is a positive linear relationship between the data. This means that as x increases that y also increases.Values of r close to -1 imply that there is a negative linear relationship between the data. This means that as x increases that y decreases. The Slope of the Least Squares Line The last two items in the above list point us toward the slope of the least squares line of best fit. Recall that the slope of a line is a measurement of how many units it goes up or down for every unit we move to the right. Sometimes this is stated as the rise of the line divided by the run, or the change in y values divided by the change in x values. In general, straight lines have slopes that are positive, negative or zero. If we were to examine our least-square regression lines and compare the corresponding values of r, we would notice that every time that our data has a negative correlation coefficient, the slope of the regression line is negative. Similarly, for every time that we have a positive correlation coefficient, the slope of the regression line is positive. It should be evident from this observation that there is definitely a connection between the sign of the correlation coefficient and the slope of the least squares line. It remains to explain why this is true. The Formula for the Slope The reason for the connection between the value of r and the slope of the least squares line has to do with the formula that gives us the slope of this line. For paired data (x,y) we denote the standard deviation of the x data by sx and the standard deviation of the y data by sy. The formula for the slope a of the regression line is: a r(sy/sx) The calculation of a standard deviation involves taking the positive square root of a nonnegative number. As a result, both standard deviations in the formula for the slope must be nonnegative. If we assume that there is some variation in our data, we will be able to disregard the possibility that either of these standard deviations is zero. Therefore the sign of the correlation coefficient will be the same as the sign of the slope of the regression line.
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