correlation coefficient. Unit 3. The Pearson product moment correlation is the most frequently utilized measure of relationships (Salkind, 2012). The symbol for this relationship is the letter r which represents the variables being correlated. Furthermore, the symbol rxy characterizes a correlation between two variables, X and Y. When computing a correlation, one requires a pair of scores, for example, reading scores and math scores for each group the researcher is working with. In the case of
The objective of this lab is to determine the coefficients of static and kinetic friction between a block of wood and wooden table. It was hypothesized that the mass of the object would not impact the coefficient of friction. It was also hypothesized that the coefficient of static friction would be larger than the coefficient of kinetic friction. Introduction Friction is a force between two surfaces that provides traction to conduct most human activities. At a microscopic level, all surfaces
produces interesting patterns. One such pattern is in Pascal’s Triangle, where each row can be constructed by adding the numbers on the row above. This particular pattern is significant in that, among other things, it shows a representation of the coefficients of a binomial expansion to a particular power. There is always room in mathematics, however, for imagination, for expansion of previous concepts. In the case of Pascal’s Triangle, a two-dimensional pattern, it can be extended into a third dimension
to the amount of terms in each expansion plus one. The coefficients in each binomial expansion is a line on Pascal’s triangle. The nth power is the number line the coefficients are on. (a+b)1 = (1)a+b (a+b)2 = (1)a2 + (2)ab + (1)b2 (a+b)3 = (1)a3+ (3)a2b + (3)ab2 + (1)b3 (a+b)4 = (1)a4+ (4)a3b + (6)a2b2+ (4)ab3+ (1)b4 If one was to predict the coefficients in (a+b)7 it would be the seventh line on Pascal’s triangle. The coefficients are 1, 7, 21, 35, 35, 21, 7, 1. The indices on a and
Even the smallest tasks can impact the world in a significant way. Math, despite its trivial appearance, is large in grandeur that governs our world from the inside and the outside. The many twists and turns that exist in Mathematics make its versatility unparalleled and continues to awe the many Mathematicians today and the many more to come. The Binomial Theorem is one such phenomenon, which was founded by the combined efforts of Blaise Pascal, Isaac Newton and many others. This theorem is mainly
is efficient tool for image compression, Wavelet transform gives multiresolution image decomposition. which can .be exploited through vector quantization to achieve high compression ratio. For vector quantization of wavelet coefficients vectors are formed by either coefficients at same level, different location or different level, same location. This paper compares the two methods and shows that because of wavelet properties, vector quantization can still improve compression results by coding only
estimate the drag coefficient on Kinder’s egg container which is quite similar to the cylinder. Particularly that cylinder is experiencing the flow over its flat face. Its drag coefficient is going to be measured in fluid of air wind. The airflow would be supplied by ordinary hair dryer. The velocity of air wind will be measured by the help of anemometer, which we would construct by ourselves with improvised materials such as plastic cups, pencil, pin and straws. Particularly the coefficient of drag is
model to compare cross-country regressions. Literature Survey Economic Growth and Income Inequality by Simon Kuznets (1955) was one of the initial papers theorizing the long-term effect of inco... ... middle of paper ... ...between the gini coefficient and growth rate of Developing countries is -3.789 with a P-value of .398 and R squared of .132 and .103. Interpreting the statistical significance of the data, the p-values both hold a significance level greater than 0.05, thus we do not reject
include iron, nickel, copper, zinc and lead. The Behaviour of these metals in terms of partial melting and fractional crystallization is discussed by using their partition coefficients. Partition coefficient is the ratio of concentration of an element in a mixture of a phase relative to another phase. In addition, the partition coefficient depends on pressure, the composition of the solid, the composition of the melt and the temperature (Hall, 1987). Furthermore, the Behaviour of these metals during fractional
VI. Annex i) Global Gini Coefficients from the World Bank: Table 1 Low Income Countries Gini coefficient High Income Countries Gini coefficient Latin American Countries Gini coefficient China 1.6 Australia 1.7 Argentina 2.8 Egypt 1.3 Belgium 1 Bolivia 3.6 India 1.4 Canada 1.4 Brazil 5.6 Ivory Coast 1.6 France 2.1 Chile 4.4 Kenya 4.7 Germany 1.3 Costa Rica 2.5 Madagascar 2.2 Italy 1.4 Ecuador 4.9 Nigeria 2.4 Japan 1 El Salvador 3.5 Pakistan 1.2 New Zealand 1.8 Mexico 4.4 Sri Lanka 1.1 Spain 1 Panama
Measures of Market Concentration Market concentration describes the extent to which the top firms in an industry, say in the car industry where the top five firms in the UK would account for nearly 90% of the market, take up a large portion of the market share. There are various methods used to measure this, which will be discussed in turn. ‘The concentration ratio is the percentage of all sales contributed by the leading three or five, say, firms in a market.’ (Maunder, P. et al (1991)
Water and all forms of water travel have long fascinated man. With his fascination and the realization that humans are ill-suited for water travel that doesn't involve remaining on the surface, an appreciation for a fish's ability to move in three dimensions with relative ease was also devloped. Although we may not fully understand the physics involved how fish swim, it is obvious from the fascination and the breadth of reseach that it will remain a goal of the modern sicientist. A fish's ability
y………………………………………………………………………… two terms 3. (x + y)^2 = x^2 + 2xy + y2……………………………………………………………. .three terms Additionally, the integers represented on the triangle are found as the coefficients of the expansion. For instance, the third row of Pascal’s Triangle (0, 1, 2) is “1 2 1”, which corresponds with the coefficients of 3 above. The triangle itself is simply a visualization of this pattern. The discovery of Pascal’s Triangle is widely considered to have taken place centuries prior to Pascal’s lifetime
Lab Report Coefficient of Linear Expansion of a Metal Introduction Most solid materials expand upon heating and contract when cooled because it undergoes a change in the energy state of its molecules or atoms. According to the atomic perspective, the average vibrational amplitude of an atom increases as the temperature rises. Each material has a property called ¡§coefficient of linear expansion¡¨ that is indicative of the extent to which a material expands upon heating or contracts when cooling
them to separate, then extracting the distinct layers that form. The ratio of the concentration of solute present in the upper layer to the concentration in the lower layer is called the partition coefficient. The efficiency of a separation is described by this partition coefficient. If the coefficients for the two layers are largely different, then the separation can be carried out in a single step. If they aren’t, a more complex process is necessary.1,2 Countercurrent chromatography is a technique
Gross Domestic Product (GDP) is the market value of all final goods and services produced by factors of production within a country in a given period of time. It can be calculated using either the income, output, or expenditure method as illustrated on the circular flow of income diagram below. Standard of Living, in a purely material dimension is the average amount of GDP per person in a country (therefore determining access to goods and services). However the
exhibited in the Pascal’s triangle. One of the main reasons this choice of topic spoke to me is because it relates to a lot of things we do in math class such as Pascal’s triangle, probability, sequences and series, binomial theory, and negative coefficients. Another reason I choose this topic because I am very interested in patterns and I find myself intrigued by patterns and puzzles. It will be interesting to see what I discover. Blaise Pascal was a French philosopher and mathematician who lived
economic gap has always exceeded the average of the euro partners, at least from the start of Eurostat statistical series in 1995. It was stable, until the crisis aggressively attacked the economy and the gap began to grow five years ago. The GINI coefficient, which measures the difference in income of a country, is a clear example of that change. If the statistics shows a zero means that in that country there exists perfect equality, if it shows a 100 would mean an absolute inequality. Spain pulled
decision would be made. A country makes the decision on what to produce is accordance to the income distribution. The most ideal case is to have perfect income equality (Gini Coefficient equal to 0) in one society. However, studies tell us that this can never be reached. In most of the more developed countries, a Gini Coefficient (G.C.) of 0.2 to 0.35 is considered to be in relative equality. One may wonder what is the G.C. in the less developed countries? The answer is assumed to be a number in the
the cumulative percentage of income or wealth against the cumulative percentage of households or individuals, the more the Lorenz curve deviates from the diagonal, the greater is the income inequality. Inequality can also be measured by the Gini coefficient which is a numerical value for comparing inequality, ranging from zero for perfect equality to one for perfect inequality. Most governments aim to limit the level of Inequality in income and wealth, however there are some economic benefits from