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Mathematics Articles
Page 15 of 21
Multiple Regression
Introduction Before we learn about multiple linear regression, let us understand what linear regression is. Linear regression helps in determining the relationship between two variables in data sets. As already stated linear regression has its limitation to two variables. Therefore, multiple linear regression helps in determining the relationship between more than two variables. Though multiple linear regression cannot overcome the weakness of linear regression, multiple linear regression is used to make a regression model with multiple independent variables and single dependent variable. Multiple linear regression is used most importantly in econometrics and financial inference. Definition Simple ...
Read MoreMultiplication Rule of Probability
Introduction Probability is the possibility of happening an event. In the other words, it is the ratio of the total number of favorable outcomes to the total number of favorable outcomes and if the probability is one it means an event is a sure event or if the probability is zero then it means that event will not happen. Probability is simply a useful description (in the form of a mathematical model) for experiments whose exact outcome is difficult to predict in advance When you toss a coin, it's tough to know in advance if a head or a ...
Read MoreNegative Numbers: Connection to Daily Life
Introduction Many people find math a difficult subject. You have to ask about the benefits of studying mathematics and the practical application of mathematics. Mathematics is ubiquitous, as is the relationship between the meaning of numbers and everyday life. Mathematics is all about numbers, and numbers can be categorized into different types of numbers, including Integers, real numbers, complex numbers, rational numbers, irrational numbers, and many others. Negative Numbers Neither the negative numbers are greater than nor are equal to zero. They are the numbers along with a minus sign or a hyphen (-). On the number line, negative numbers ...
Read MorePopulation and Sample
Introduction In statistical mathematics population can mean a set of observations or objects. Population, in statistics and quantitative methodology, can be defined as a collection of data satisfying specific conditions. A sample can be defined as a group of observations from a population. The sample size is always less than the size of the population. Non-probability sampling can further be divided into quota sampling, judgement sampling, and purposive sampling. Population and sample are used in market research widely in inferring behaviour of a population. Statistical analysis in financial decisions also implements population and sample. In this tutorial ...
Read MoreProperties of Definite Integrals
Introduction There are two methods of integration − Deterministic integration and Indefinite integration. Definitive integration is performed on boundaries or areas specified by boundaries. Since the curve is finite, the area under the curve is also said to be finite, but indefinite integrals are used for functions that have no upper or lower bound, but because the function is essentially infinite, the upper bound and the lower limit is indefinite. Functions + ∞ & -∞. Integrals In differential calculus we are concerned with the methods of finding the derivative (or differential) of a differentiable function. ...
Read MoreRational Numbers to Standard Form
Introduction When a rational number is expressed in its standard form, it signifies that its denominator is a positive integer and that its numerator has no common factors other than 1. Rational numbers are those that can be stated as $\mathrm{\frac{r}{s}}$, where r and s are integers and s is not equal to zero. Therefore, if $\mathrm{\frac{4}{8}}$ is a rational number, its the standard form will be $\mathrm{\frac{1}{2}}$ because we are no longer able to solve $\mathrm{\frac{1}{2}}$. When there is only one common factor between the denominator and the numerator, the result is a rational number. However, as the denominator ...
Read MoreRational Function & Rational Number
Introduction The canonical form of rational numbers can be defined, when there is no common element other than 1 between the dividend and the divisor, and therefore the divisor is positive. There is only one factor in common between divisors and dividend. Therefore, it can be said that rational numbers are $\mathrm{\frac{1}{3}}$ in the canonical form. Rational Numbers To determine if a number is a rational number, check the following conditions: This is expressed in the form of $\mathrm{\frac{p}{q}}$, where q ≠ 0. The ratio $\mathrm{\frac{p}{q}}$ has been further simplified and can be expressed in decimal ...
Read MoreReflection and Symmetry
Introduction In your daily life, you may have heard the word "symmetrical" frequently. Any object is considered symmetrical if it can be split in half so that one half becomes the mirror image of the other half. While an object is considered asymmetrical, if neither of its parts is a mirror image of the other. There are symmetrical objects all around us, in nature, architecture, art, etc. We are already aware of the many symmetry types. Nature provides us with several examples of the relationship between reflection and symmetry, including the reflection of mountains and trees in adjacent bodies of ...
Read MoreReflex Angle
Introduction An angle is a degree of rotation between two intersecting lines. Angles can be of various types such as, acute angle, right angle, obtuse angle, and others. One of such angles are reflex angles. Reflex angles are angles which are a reflection of the angle between two lines. Because we cannot measure an angle greater than 180° with the help of a protractor, we can measure the angle with the help of a reflex angle. In this tutorial, we will learn about angle, type of angles, reflex angles, concave polygon, reflex angles in real life, and some solved examples ...
Read MoreRegular Hexagon
Introduction If a polygon has an equal two-dimensional closed shape formed if all the sides and interior angles of the polygons are equal, they are known as regular polygons. A Square, and an equilateral triangle are some of the examples of regular polygons. A regular hexagon is a closed shape polygon which has six equal sides and six equal angles. In this tutorial we will learn about a regular hexagon, angles of a regular hexagon, exterior angles of a regular hexagon, diagonals and line of symmetries of a regular hexagon, hexagonal tiling, hexagons in real life, and some related solved ...
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