This document discusses different types and methods of studying correlation between variables. It defines correlation as the relationship between two or more variables. There can be positive correlation, where variables change in the same direction, negative correlation, where they change in opposite directions, and no correlation. Methods of studying correlation include scatter diagrams, which plot the variables to show their relationship, and Karl Pearson's coefficient of correlation, which measures the strength of the linear relationship between variables mathematically. The coefficient r ranges from -1 to 1, indicating the degree of negative or positive correlation.
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
2. INTRODUCTION
• The term correlation is used by a common man without knowing that
he is making use of the term correlation.
• For example when parents advice their children to work hard so that
they may get good marks, they are correlating good marks with hard
work.
• The study related to the characteristics of only variable such as
height, weight, ages, marks, wages, etc., is known as univariate
analysis.
• The statistical Analysis related to the study of the relationship
between two variables is known as Bi-Variate Analysis. Sometimes
the variables may be inter-related.
3. INTRODUCTION
• In health sciences we study the relationship between blood
pressure and age, consumption level of some nutrient and
weight gain, total income and medical expenditure, etc., the
nature and strength of relationship may be examined by
correlation and Regression analysis.
4. MEANING
• Correlation refers to the relationship of two variables or more.
(e-g) relation between height of father and son, yield and
rainfall, wage and price index, share and debentures etc.
5. TYPE OF CORRELATION
• Positive Correlation
• It depends upon the direction of
change of the variables. If the two
variables tend to move together in
the same direction (i.e.) an
increase/decrease in the value of
one variable is accompanied by an
increase/decrease in the value of
the other, (or) a decrease in the
value of one variable is
accompanied by a decrease in the
value of other, then the correlation
is called positive or direct
correlation.
• Price and supply, height and
6. TYPE OF CORRELATION
• Negative Correlation
• If the two variables tend to move
together in opposite directions so
that increase (or) decrease in the
value of one variable is
accompanied by a decrease or
increase in the value of the other
variable, then the correlation is
called negative (or) inverse
correlation.
• Price and demand, yield of crop
and price, are examples of negative
correlation.
7. TYPE OF CORRELATION
• Linear correlation
• If the ratio of change between
the two variables is a
constant then there will be
linear correlation between
them.
8. TYPE OF CORRELATION
• Non-Linear Correlation
• If the amount of change in
one variable does not bear a
constant ratio of the amount
of change in the other. Then
the relation is called Curvi-
linear (or) non-linear
correlation. The graph will be
a curve.
9. TYPE OF CORRELATION
• Simple correlation:
• When we study only two
variables, the relationship is
simple correlation. For
example, quantity of money
and price level, demand and
price.
10. TYPE OF CORRELATION
• Multiple correlation
• In a multiple correlation we
study more than two
variables simultaneously. The
relationship of price, demand
and supply of a commodity
are an example for multiple
correlation.
• Partial correlation
• The study of two variables
excluding some other
variable is called Partial
correlation. For example, we
study price and demand
eliminating supply side. In
total correlation all facts are
taken into account.
11. METHOD OF STUDYING CORRELATION
Method of
studying
correlation
Graphical Method
Scatter Diagram
Correlation graph
Algebraic Method
Karl Pearson Co-
efficient of
Correlation
Rank Correlation
Correlation
concurrent
Deviation
12. SCATTER DIAGRAM
• It is the simplest method of studying the relationship between two
variables diagrammatically. One variable is represented along the
horizontal axis and the second variable along the vertical axis. For
each pair of observations of two variables, we put a dot in the plane.
There are as many dots in the plane as the number of paired
observations of two variables. The direction of dots shows the scatter
or concentration of various points. This will show the type of
correlation.
• If all the plotted points form a straight line from lower left hand corner to
the upper right hand corner then there is Perfect positive correlation. We
denote this as r = +1
• If all the plotted points form a straight line from upper left hand corner to
the lower right hand corner then there is Perfect Negative correlation. We
denote this as r = -1
13. SCATTER DIAGRAM
• If all the plotted dots lie on a straight
line falling from upper left hand
corner to lower right hand corner,
there is a perfect negative correlation
between the two variables. In this
case the coefficient of correlation
takes the value r = -1.
• If the plotted points in the plane form
a band and they show a rising trend
from the lower left hand corner to the
upper right hand corner the two
variables are highly positively
correlated.
14. SCATTER DIAGRAM
• If the points fall in a narrow
band from the upper left hand
corner to the lower right hand
corner, there will be a high
degree of negative correlation.
• If the plotted points in the plane
are spread all over the diagram
there is no correlation between
the two variables
16. KARL PEARSON’ S COEFFICIENT OF
CORRELATION
• Karl Pearson, a great biometrician and statistician,
suggested a mathematical method for measuring the
magnitude of linear relationship between the two
variables. It is most widely used method in practice and
it is known as Pearsonian coefficient of correlation. It is
denoted by ‘ r’ . The formula for calculating ‘ r’ is
• r =
𝚺𝒙𝒚
𝑵𝝈𝒙𝝈𝒚
• x = X – X y = Y-Y σx = SD of series X σy =SD of
series Y
• Arithmetic Mean Method
• r =
𝒙𝒚
𝒙𝟐 𝑿 𝒚𝟐
• Assumed Mean Method
• r=
𝑵𝚺𝒅𝒙𝒅𝒚−𝚺𝒅𝒙∗𝚺𝒅𝒚
𝑵𝚺𝒅𝒙𝟐− 𝚺𝒅𝒙 𝟐∗𝑵𝚺𝒅𝒚𝟐− 𝚺𝒅𝒚 𝟐
• Direct Method
• r=
𝑵𝚺𝑿𝒀−𝚺𝑿∗𝚺𝒀
𝑵𝚺𝑿𝟐− 𝚺𝑿 𝟐∗𝑵𝚺𝒀𝟐− 𝚺𝒀 𝟐
• Regression Method
• r= 𝑏𝑥𝑦 ∗ 𝑏𝑦𝑥