SCATTER Diagram, Merits and Demerits of Scattered Diagram | CORRELATION Methods
🚩Timestamps:-
00:15 Session Agenda
00:47 SCATTERED DIAGRAM
02:56 Line of Best Fit
04:32 pictures showing possible directions and the degrees of closeness of the variables
08:47 MERITS AND DEMERITS OF SCATTERED DIAGRAM
11:01 PRACTICAL PROBLEM
19:09 Concluding Remarks
Learning Outcomes:-
Through this module, you will gain understanding
on:-
1.
SCATTERED
DIAGRAM
2.
Line
of Best Fit
3.
MERITS
AND DEMERITS OF SCATTERED DIAGRAM
4.
PRACTICAL
PROBLEM
SCATTERED DIAGRAM
·
offers a graphic
expression of the direction and degree correlation.
·
To make a
Scattered Diagram, data are plotted on a graph paper. A dot is marked for each
value. The course of these dots would indicate direction and closeness
of the variables.
Line of Best Fit
·
the one that
passes through the scattered points such that it represents most of these
points.
·
Roughly, half of
the scattered points should be on either side of the line.
Following pictures show
some of the possible directions and the degrees of closeness of the variables.
 |
·
closeness of
the dots towards each other in a particular direction indicates higher degree
of correlation. ·
If the dots are
scattered (showing neither the closeness nor any direction), it is an
indication of low degree of correlation. |
MERITS AND DEMERITS OF SCATTERED DIAGRAM
MERITS
(1) very simple method of
studying correlation between two variables.
(2) Just a glance at the
diagram is enough to know if the values of the variables have any relation or
not.
(3) Scattered diagram also
indicates whether the relation is positive or negative.
DEMERITS
(1) does not measure the
precise extent of correlation.
(2) It gives only an
approximate idea of the relationship
(3) It is not a
quantitative measure of the relationship between the variables. It is only a qualitative expression of the
quantitative change.
PRACTICAL PROBLEM
The following table gives
height and weight of the students of a class. Make a scattered diagram to show
if the relationship is positive or negative and if the relationship is strong
or weak.
|
Height (cm) |
180 |
150 |
158 |
165 |
175 |
163 |
195 |
155 |
|
Weight (kg) |
65 |
54 |
55 |
65 |
60 |
54 |
63 |
50 |
·
The dots are
moving upward in a particular course from left to right. It shows that with the
increase in height, weight also increases. there is positive relationship
between height and weight of the students.
·
However, this is
a case of limited positive correlation,
because the dots do not make any straight line.
|
(3) Limited Degree of Correlation: In real life, one mostly finds limited degree of
correlation. Its coefficient (r) is more than zero and less than one (r> 0
but < 1). The degree of correlation between 0 and 1 may be rated as: ·
High: When
correlation of two series is close to one, it is called high degree of
correlation. Its coefficient lies between 0.75 and 1. ·
Moderate: When
correlation of two series is neither large nor small, it is called moderate
degree of correlation. Its coefficient lies between 0.25 and 0.75. ·
Low: When the
degree of correlation of two series is very small it is called low degree of
correlation. Its coefficient lies between 0 and 0.25. All these degrees of
correlations may be positive or negative.  |
VIDEO DESCRIPTION (max 5,000 characters)
SCATTERED DIAGRAM, Line of Best Fit, pictures showing possible directions and the degrees of closeness of the variables, MERITS AND DEMERITS OF SCATTERED DIAGRAM, PRACTICAL PROBLEM | Correlation | 11th Commerce | by @statomics11comm
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