Scatter plot

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for two variables for a set of data. If the points are coded, one additional variable can be displayed; the data are displayed as a collection of points, each having the value of one variable determining the position on the horizontal axis and the value of the other variable determining the position on the vertical axis. A scatter plot can be used either when one continuous variable, under the control of the experimenter and the other depends on it or when both continuous variables are independent. If a parameter exists, systematically incremented and/or decremented by the other, it is called the control parameter or independent variable and is customarily plotted along the horizontal axis; the measured or dependent variable is customarily plotted along the vertical axis. If no dependent variable exists, either type of variable can be plotted on either axis and a scatter plot will illustrate only the degree of correlation between two variables.

A scatter plot can suggest various kinds of correlations between variables with a certain confidence interval. For example and height, weight would be on y axis and height would be on the x axis. Correlations may be negative, or null. If the pattern of dots slopes from lower left to upper right, it indicates a positive correlation between the variables being studied. If the pattern of dots slopes from upper left to lower right, it indicates a negative correlation. A line of best fit can be drawn in order to study the relationship between the variables. An equation for the correlation between the variables can be determined by established best-fit procedures. For a linear correlation, the best-fit procedure is known as linear regression and is guaranteed to generate a correct solution in a finite time. No universal best-fit procedure is guaranteed to generate a correct solution for arbitrary relationships. A scatter plot is very useful when we wish to see how two comparable data sets agree to show nonlinear relationships between variables.

The ability to do this can be enhanced by adding a smooth line such as LOESS. Furthermore, if the data are represented by a mixture model of simple relationships, these relationships will be visually evident as superimposed patterns; the scatter diagram is one of the seven basic tools of quality control. Scatter charts can be built in the form of marker, or/and line charts. For example, to display a link between a person's lung capacity, how long that person could hold their breath, a researcher would choose a group of people to study measure each one's lung capacity and how long that person could hold their breath; the researcher would plot the data in a scatter plot, assigning "lung capacity" to the horizontal axis, "time holding breath" to the vertical axis. A person with a lung capacity of 400 cl who held their breath for 21.7 seconds would be represented by a single dot on the scatter plot at the point in the Cartesian coordinates. The scatter plot of all the people in the study would enable the researcher to obtain a visual comparison of the two variables in the data set, will help to determine what kind of relationship there might be between the two variables.

For a set of data variables X1, X2... Xk, the scatter plot matrix shows all the pairwise scatter plots of the variables on a single view with multiple scatterplots in a matrix format. For k variables, the scatterplot matrix will contain k rows and k columns. A plot located on the intersection of i-th row and j-th column is a plot of variables Xj; this means that each row and column is one dimension, each cell plots a scatter plot of two dimensions. A generalized scatter plot matrix offers a range of displays of paired combinations of categorical and quantitative variables. A mosaic plot, fluctuation diagram, or faceted bar chart may be used to display two categorical variables. Other plots are used for one quantitative variables. Rug plot What is a scatterplot? Correlation scatter-plot matrix for ordered-categorical data – Explanation and R code Density scatterplot for large datasets

Ján Počiatek

Ján Počiatek is a Slovak politician and economist. Počiatek speaks English fluently and has an advanced knowledge of German and Russian. Počiatek is a graduate of the University of Economics in Bratislava, he graduated in 1997 as a qualified engineer in economics. Počiatek served as Minister of Finance from 2006 to 2010, as Minister of Transport and Regional Development from 2012 to 2016, both in the government of Prime Minister Robert Fico. Under his leadership, Slovakia agreed a 1.9-billion-euro public-private partnership for a consortium led by Spanish infrastructure group Ferrovial’s Cintra unit to build two highways in the capital Bratislava. European Bank for Reconstruction and Development, Ex-Officio Member of the Board of Governors European Investment Bank, Ex-Officio Member of the Board of Governors For his contribution in preparing Slovakia's entry into the Eurozone, the international financial affairs publication The Banker named Počiatek as the "Best finance minister for the year 2008 in Europe."

Počiatek caused controversy when he participated in a yacht trip on the Mediterranean organised by a private equity group accused of profiting from currency speculation before the koruna was revalued against the euro in May 2008. Pociatek denied wrongdoing but apologised. By late 2008, opposition pressure was mounting again to dismiss Počiatek over his alleged mishandling of a court case involving state-owned lottery company Tipos. In 2019 video of Počiatek recorded through a candid camera in the prosecutor general's office was leaked, in this video Počiatek discussed and joked about corruption skills of Slovak National Party leader Ján Slota, discussed with Trnka how to cover up the TIpos mishandling. National Bank of Slovakia Economy of Slovakia Slovak koruna former currency of the Slovak Republic Slovak euro coins current currency in Slovakia Ľubomír Jahnátek Minister of Economy of the Slovak Republic

2016 Qatar motorcycle Grand Prix

The 2016 Qatar motorcycle Grand Prix was the first of eighteen motorcycle races of the 2016 MotoGP season and the thirteenth running of the event. It was held before a crowd of 11,737 spectators at the Losail International Circuit near the Qatari capital city of Doha on 20 March 2016. Yamaha rider Jorge Lorenzo won the 22-lap race after starting from pole position. Andrea Dovizioso came second for Ducati, Honda's Marc Márquez was third. In the junior classes, Kalex's Thomas Lüthi won the Moto2 race and Niccolò Antonelli on a Honda took the victory in the Moto3 round. Lorenzo won the pole position by posting the fastest lap in qualifying and held the lead into the first corner. However, he was only able to hold on to first place until the end of the first lap. Andrea Iannone used the superior straight line speed advantage of his Ducati to move into the lead on the main straight, he led for the next five laps until teammate Dovizioso passed him for the lead at the start of lap six. Iannone retook the lead by forcing Dovizioso off the racing line at turn one, but Dovizioso regained the position four turns later.

Lorenzo fell to third but returned to second when Iannone crashed lowside at turn thirteen on lap six. Lorenzo regained the lead from Dovizioso at turn four on lap nine. Over the remaining thirteen laps, he opened up a healthy advantage at the front of the pack to claim his 41st MotoGP victory, his 62nd in Grand Prix motorcycle racing. In the junior classes, Jonas Folger started from pole position in Moto2, he held the lead for the first two laps before he handed the position to Morbidelli. He was passed by Lüthi. Morbidelli retook first place from Lüthi on the tenth lap and the two battled for the rest of the race, it ended in Lüthi's favour. Moto3 had Romano Fenati of KTM begin from pole position and kept first place until teammate Brad Binder duelled him for the lead and Nicolò Bulega joined soon after; the race was decided by a last lap overtaking manoeuvre by Antonelli. He slipstreamed Binder on the main straight and pulled out of it to win by a photo finish with a gap of seven-thousands of a second.

The result of the first race of the season meant Lorenzo led the Riders' Championship with twenty-five points. Dovizioso was second on Márquez placed third with sixteen points. Valentino Rossi on the other Yamaha and Dani Pedrosa on the second factory Honda completed the top five. In the Teams' Championship, Yamaha MotoGP lead with 38 points, followed by Honda with twenty-seven points and Ducati with twenty points. Tech 3 and Suzuki were fifth. Yamaha became the early leaders of the Constructors' Championship with twenty-five points; the world governing body of motorcycle racing, the Fédération Internationale de Motocyclisme and the sport's commercial rights holder Dorna Sports confirmed the 2016 Qatar Grand Prix as part of MotoGP's 2016 schedule in February 2016. It was the thirteenth time the race was held and it was the season's sole night round. Qatar was the first of eighteen rounds scheduled by FIM, it took place at the sixteen-turn 5.380 km Losail International Circuit near Doha on 20 March 2016.

The track was described as "a serious test of both rider and machine" due to its mixture of fast and slow corners. It is surrounded by the desert where dust and sand cover the track; this affects tyre grip. This race saw Michelin take over from Bridgestone as MotoGP's official tyre supplier, returning for the first time since the 2008 Valencian Grand Prix. All bikes featured unified electronic packages in an attempt to reduce costs, close the deficit between the factory and satellite teams and bring a new focus on rider control. Heading into the new season, some teams opted to keep the same line-up as the previous season. One of the main changes involved the début appearance of 2014 Moto2 World Champion Esteve Rabat on one of the two Marc VDS Racing bikes. Rabat took the place of Scott Redding. 2014 Moto3 runner-up Jack Miller took his place at Marc VDS Racing as they expanded and ran a second motorbike for 2016. Yonny Hernández did not have his contract with Pramac Racing renewed, he moved to Aspar Racing to replace 2006 World Champion Nicky Hayden, who left MotoGP for the Superbike World Championship.

AB Motoracing and Karel Abraham left MotoGP after five seasons and switched to the Superbike World Championship as did Alex de Angelis and Ioda Racing. Loris Baz moved to Avintia Racing to replace Mike Di Meglio who went to the FIM Endurance World Championship; the final change was Stefan Bradl who remained with Aprilia after riding for them as a replacement rider in 2015 when Marco Melandri left MotoGP during the middle of the season. Title holder Jorge Lorenzo stayed with Yamaha MotoGP after his title-winning campaign and was again joined by seven-time MotoGP champion Valentino Rossi; the press considered Lorenzo the favourite to retain his championship because of his pace in pre-season testing. They considered his teammate Rossi and Honda's Marc Márquez, who won the title in 2013 and 2014, to be his main rivals over the course of the season. Lorenzo said he felt competitive, he spoke of his satisfaction of adapting well to the Michelin tyres and knew a good position in Qatar would demonstrate his quick race pace, "I would like to start this 2016 season in the best way possible compared to the beginning of 2015.

Let‘s go into this race fighting and enjoy it!" Márquez was down on pace in pre-season testing because Honda was struggling t