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Simple linear regression

In statistics, simple linear regression is a linear regression model with a single explanatory variable. That is, it concerns two-dimensional sample points with one independent variable and one dependent variable and finds a linear function that, as as possible, predicts the dependent variable values as a function of the independent variables; the adjective simple refers to the fact. It is common to make the additional stipulation that the ordinary least squares method should be used: the accuracy of each predicted value is measured by its squared residual, the goal is to make the sum of these squared deviations as small as possible. Other regression methods that can be used in place of ordinary least squares include least absolute deviations and the Theil–Sen estimator. Deming regression finds a line that fits a set of two-dimensional sample points, but it is not an instance of simple linear regression, because it does not separate the coordinates into one dependent and one independent variable and could return a vertical line as its fit.

The remainder of the article assumes an ordinary least squares regression. In this case, the slope of the fitted line is equal to the correlation between y and x corrected by the ratio of standard deviations of these variables; the intercept of the fitted line is such that the line passes through the center of mass of the data points. Consider the model function y = α + β x, which describes a line with slope β and y-intercept α. In general such a relationship may not hold for the unobserved population of values of the independent and dependent variables. Suppose we observe n data pairs and call them. We can describe the underlying relationship between yi and xi involving this error term εi by y i = α + β x i + ε i; this relationship between the true underlying parameters α and β and the data points is called a linear regression model. The goal is to find estimated values α ^ and β ^ for the parameters α and β which would provide the "best" fit in some sense for the data points; as mentioned in the introduction, in this article the "best" fit will be understood as in the least-squares approach: a line that minimizes the sum of squared residuals ε ^ i, each of, given by, for any candidate parameter values α and β, ε ^ i = y i − α − β x i.

In other words, α ^ and β ^ solve the following minimization problem: Find min α, β Q, for Q = ∑ i = 1 n ε ^ i 2 = ∑ i = 1 n 2. By expanding to get a quadratic expression in α and β, we can derive values of α and β that minimize the objective function Q: α ^ = y ¯ − β ^ x ¯, β ^ = ∑ i = 1 n ( x i − x

Niska Gas Storage Partners

Niska Gas Storage Partners is a global gas storage service provider and the largest gas storage firm in North America. It operates business in Alberta and California, US and Oklahoma; the company owns a natural gas storage capacity of 225.5 billion cubic feet. It generates revenue by charging monthly natural gas storage fees to a variety of customers including institutions, gas generators, etc. AECO Hub, consisting of three sub-facilities located both in Canada and US, is the core storage facility of the company and is one of the most important natural gas producing sites in North America; the company has an enterprise value of 1.05 billion. The company is named after a Cree Indian word, niska meaning "Canada goose" indicating the company’s root as the Canadian developer of the first major trading point for natural gas in Alberta. In the early 2000s, the company acquired the former Manchester Gas Storage facility in Oklahoma, renamed Salt Plains Gas Storage, one of the three facilities that make up for AECO Hub.

The company operated its business under the name, Niska Gas Storage, in 2006 when the natural gas storage business was acquired by Riverstone Holdings LLC. Four years the company launched an Initial Public Offering Notes Official website

Daniele Ratto

Daniele Ratto was an Italian professional road bicycle racer who rode for Androni Giocattoli–Sidermec. Born in Moncalieri, Ratto was a professional from 2010-2016, competing for the Carmiooro-NGC and Geox–TMC teams prior to moving to Liquigas–Cannondale for the 2012 season. Ratto signed a contract with UnitedHealthcare for the 2015 season. In 2016 Rotto signed for the Italian pro Continental team Androni Sidermec on a 1 year contract at the end of the 2016 Seanson Rotto retired from professional racing to Spend time with his son and family. Ratto's sister, Rossella Ratto, is a professional cyclist, best known for finishing third in the 2013 World Road Race Championships. Media related to Daniele Ratto at Wikimedia Commons Liquigas-Cannondale profile Daniele Ratto at Cycling Archives Cycling Quotient profile

List of Kin-iro Mosaic episodes

Kin-iro Mosaic is an anime television series produced by Studio Gokumi, based on the 4-panel manga series written and illustrated by Yui Hara and published in Houbunsha's Manga Time Kirara Max magazine. The story follows Shinobu Omiya and her friends as she is joined by her friend from England, Alice Cartelet; the first season aired in Japan on AT-X between July 6, 2013 and September 21, 2013. The respective opening and ending themes are "Jumping!!" and "Your Voice", both performed by Rhodanthe*. A second season, Hello!! Kin-iro Mosaic, aired between April 5, 2015 and June 21, 2015; the respective opening and ending themes are "Yumeiro Parade" and "My Best Friends", both performed by Rhodanthe*. Both series were simulcast by Crunchyroll and are licensed in North America by Sentai Filmworks under the title Kinmoza!. An original video animation episode, titled Kin-iro Mosaic: Pretty Days, aired in Japanese theaters on November 12, 2016 and was released on Blu-ray Disc and DVD on March 3, 2017

Isaiah Berlin

Sir Isaiah Berlin was a British social and political theorist and historian of ideas. Although averse to writing for publication, his improvised lectures and talks were sometimes recorded and transcribed, many of his spoken words were converted into published essays and books, both by himself and by others his principal editor from 1974, Henry Hardy. Born in Riga in 1909, he moved to Petrograd, Russia, at the age of six, where he witnessed the revolutions of 1917. In 1921 his family moved to the UK, he was educated at St Paul's School and Corpus Christi College, Oxford. In 1932, at the age of twenty-three, Berlin was elected to a prize fellowship at All Souls College, Oxford. In addition to his own prolific output, he translated works by Ivan Turgenev from Russian into English and, during World War II, worked for the British Diplomatic Service. From 1957 to 1967 he was Chichele Professor of Social and Political Theory at the University of Oxford, he was president of the Aristotelian Society from 1963 to 1964.

In 1966, he played a critical role in creating Wolfson College and became its founding President. Berlin was appointed a CBE in 1946, knighted in 1957, appointed to the Order of Merit in 1971, he was President of the British Academy from 1974 to 1978. He received the 1979 Jerusalem Prize for his lifelong defence of civil liberties, on 25 November 1994 he received the honorary degree of Doctor of Laws at the University of Toronto, for which occasion he prepared a "short credo", now known as "A Message to the Twenty-First Century", to be read on his behalf at the ceremony. An annual Isaiah Berlin Lecture is held at the Hampstead Synagogue, at Wolfson College, Oxford, at the British Academy, in Riga. Berlin's work on liberal theory and on value pluralism, as well as his opposition to Marxism and Communism, has had a lasting influence. In its obituary of the scholar, the Independent stated that: Isaiah Berlin was described in his old age, by means of superlatives: the world's greatest talker, the century's most inspired reader, one of the finest minds of our time.

Here is no doubt that he showed in more than one direction the unexpectedly large possibilities open to us at the top end of the range of human potential. Born on 6 June 1909, Berlin was the only surviving child of a wealthy Jewish family, the son of Mendel Berlin, a timber trader, his wife Marie, née Volshonok, his family owned a timber company, one of the largest in the Baltics, as well as forests in Russia, from where the timber was floated down the Daugava river to its sawmills in Riga. As his father, the head of the Riga Association of Timber Merchants, worked for the company in its dealings with Western companies, he was fluent not only in Yiddish and German, but French and English, his Russian-speaking mother, Marie Volshonok, was fluent in Yiddish and Latvian. Isaiah Berlin spent his first six years in Riga, lived in Andreapol and Petrograd. In Petrograd, the family lived first on Vasilevsky Island and on Angliiskii Prospekt on the mainland. On Angliiskii Prospekt, they shared their building with other tenants, including Rimsky-Korsakov's daughter, an assistant Minister of Finnish affairs and Princess Emeretinsky.

With the onset of the October Revolution of 1917, the fortunes of the building's tenants were reversed, with both the Princess Emeretinsky and Rimsky-Korsakov's daughter soon being made to stoke the building's stoves and sweep the yards. Berlin witnessed the February and October Revolutions both from his apartment windows and from walks in the city with his governess, where he recalled the crowds of protesters marching on the Winter Palace Square. One particular childhood memory of the February Revolution marked his life-long opposition to violence, with Berlin saying: Well I was seven and a half and something, I was – did I tell you the terrible sight of the policeman being dragged – not policeman, a sharp shooter from the rooftop – being dragged away by a lynching bee In the early parts of the revolution, the only people who remained loyal to the Tsar was the police, the Pharaon, I've never seen Pharaon in the histories of the Russian Revolution, they existed, they did sniping from the rooftops or attics.

I saw a man like a Pharaon. That's not in the books, and they sniped at the revolutionaries from attics and things. And this man was dragged down by a crowd, was being taken to a not agreeable fate, I saw this man struggling in the middle of a crowd of about twenty hat gave me a permanent horror of violence which has remained with me for the rest of my life. Feeling oppressed by life under Bolshevik rule where the family was identified as bourgeoisie, the family left Petrograd, on 5 October 1920, for Riga, but encounters with anti-Semitism and difficulties with the Latvian authorities convinced them to leave, they moved to Britain in early 1921, when Berlin was eleven. In London, the family first stayed in Surbiton where he was sent to Arundel House for preparatory school within the year they bought a house in Kensington, six years in Hampstead. Berlin's native language was Russian, his English was nonexistent at first, but he reached proficiency in English within a year at around the age of 12.

In addition to Russian and English, B

USS Mellena (AKA-32)

USS Mellena was an Artemis-class attack cargo ship named after the minor planet 869 Mellena, which in turn was named after Werner von Melle, mayor of Hamburg. She served as a commissioned ship for 16 months. Mellena was laid down under Maritime Commission contract by Walsh-Kaiser Co. Inc. Providence, R. I. 25 September 1944. B. C. Modin in command. After shakedown out of Norfolk, Va. Mellena carried cargo via Guantanamo Bay and Panama to Pearl Harbor where she arrived in mid–March, she trained in Hawaiian waters until 8 April. She reached 28 June. During the closing weeks of fighting in the western Pacific, she made cargo runs to the Palaus, the Admiralties, the Marianas, at the cessation of hostilities she was anchored at Iwo Jima. After transporting Seabees to Saipan, she returned to Leyte Gulf 28 August to carry occupation troops to Japan. Assigned to Transport Squadron 24, Mellena embarked 242 MPs and Army Engineers of the XIV Corps at Manila and sailed for Japan 7 September. Reaching Tokyo Bay the 13th, she steamed up the Honshū coast and debarked her troops at Shiogama two days later.

She battled typhoon seas off Honshū 18 September and arrived Okinawa a week to embark units of the 1st Marine Division. Operating with the 7th Amphibious Group, she sailed for Chinese waters 29 September to support the U. S. program of assisting the Chinese Nationalists in their efforts to regain control of the Chinese mainland following the defeat of Japan. Mellena entered the Gulf of Chihli 3 October and during the next week she debarked the 1st Marines who were ordered to take control of the Tientsin area until Nationalist troops could be brought in to replace them. Departing Taku 11 October, she steamed via the Philippines to French Indochina where she arrived in the approaches to Hai Phong 26 October. There she boatloaded 906 troops of the 52nd Chinese Army and support equipment before sailing for northern China 30 October; as part of an eight–ship troop convoy, she reached Chinwangtao, China, 7 November and discharged the Nationalist troops. She returned to Taku two days and on the 13th was assigned to "Magic Carpet" duty.

Steaming via Tsingtao and Okinawa, she sailed with a capacity load of returning troops and arrived Portland, Oregon, 12 December. From 14 December to 9 January 1946, Mellena underwent repairs at Willamette Steel Co.. Thence she sailed 18 January for San Pedro where she arrived the 29th via San Francisco and San Diego. Designated for conversion to a surveying ship 26 January, she operated out of San Pedro under Service Force, Pacific Fleet, until 6 March when she was ordered to be disposed of rather than converted. Assigned to the 12th Naval District 9 April, she reached Vallejo, the 15th, she decommissioned there 11 June 1946 and was transferred to War Shipping Administration for delivery to the California Maritime Academy. Mellena was struck from the Navy list 3 July 1946. Subsequently, she was recommissioned for the Academy as T. S. Golden Bear, she was sold for scrap following her decommissioning in 1971. This article incorporates text from the public domain Dictionary of American Naval Fighting Ships.

The entry can be found here. NavSource Online: AKA-32 Mellena 51 Years of AKAs