FIGURE 10-1Tpes of RelationshipsSection 10-1 Correlation541(a) Positive linear relationship(b) Negative linear relationshipbetio inomeo t•• ech(c) Curvilinear relationship(d) No relationshippressure, the researcher can generally assume that age affects blood pressure. Hence, thevariable age can be called the independent variable, and the variable blood pressure can becalled the dependent variable. On the other hand, if a researcher is studying the attitudes ofhusbands on a certain issue and the attitudes of their wives on the same issue, it is difficultto say which variable is the independent variable and which is the dependent variable. In thisstudy, the researcher can arbitrarily designate the variables as independent and dependent.The independent and dependent variables can be plotted on a graph called a scatterplot. The independent variable x is plotted on the horizontal axis, and the dependent vari-abie pletted on the vertical axis.da dgng sdt no nioq dono sol9A scatter plot is a graph of the ordered pairs (x, y) of numbers consisting of theindependent variable x and the dependent variable y.The scatter plot is a visual way to describe the nature of the relationship between theindependent and dependent variables. The scales of the variables can be different, andthe coordinates of the axes are determined by the smallest and largest data values of thevariables.Researchers look for various types of patterns in scatter plots. For example, in Fig-ure 10–1(a), the pattern in the points of the scatter plot shows a positive linear relation-ship, Here, as the values of the independent variable (x variable) increase, the values ofthe dependent variable (y variable) increase. Also, the points form somewhat of a straightline going in an upward direction from left to right.The pattern of the points of the scatter plot shown in Figure 10–1(b) shows a negativelinear relationship. In this case, as the values of the independent variable increase, thevalues of the dependent variable decrease. Also, the points show a somewhat straight linegoing in a downward direction from left to right.The pattern of the points of the scatter plot shown in Figure 10–1(c) shows some typeof a nonlinear relationship or a curvilinear relationship.Finally, the scatter plot shown in Figure 10-1(d) shows basically no relationshinbetween the independent variable and the dependent variable since no pattern (line orcurve) can be seen.10-3 What seems to be true about the figures at the top of thepage ?Page 541а.When there is no relationship, the points arewidely scatteredb.The pattern of the points can slope from left toright and from right to leftNeither statement is trueC.d.Both are true

We have given 4 figures on the top of page and by observing them we have to select correct option.

Answered: Correlation (a) Positive linear…

Correlation (a) Positive linear relationship (b) Negative linear relationship 2oin (c) Curvilinear relationship (d) No relationship

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

FIGURE 10-1
Tpes of Relationships
Section 10-1 Correlation
541
(a) Positive linear relationship
(b) Negative linear relationship
betio inomeo t
•• ech
(c) Curvilinear relationship
(d) No relationship
pressure, the researcher can generally assume that age affects blood pressure. Hence, the
variable age can be called the independent variable, and the variable blood pressure can be
called the dependent variable. On the other hand, if a researcher is studying the attitudes of
husbands on a certain issue and the attitudes of their wives on the same issue, it is difficult
to say which variable is the independent variable and which is the dependent variable. In this
study, the researcher can arbitrarily designate the variables as independent and dependent.
The independent and dependent variables can be plotted on a graph called a scatter
plot. The independent variable x is plotted on the horizontal axis, and the dependent vari-
abie pletted on the vertical axis.
da dgng sdt no nioq dono sol9
A scatter plot is a graph of the ordered pairs (x, y) of numbers consisting of the
independent variable x and the dependent variable y.
The scatter plot is a visual way to describe the nature of the relationship between the
independent and dependent variables. The scales of the variables can be different, and
the coordinates of the axes are determined by the smallest and largest data values of the
variables.
Researchers look for various types of patterns in scatter plots. For example, in Fig-
ure 10–1(a), the pattern in the points of the scatter plot shows a positive linear relation-
ship, Here, as the values of the independent variable (x variable) increase, the values of
the dependent variable (y variable) increase. Also, the points form somewhat of a straight
line going in an upward direction from left to right.
The pattern of the points of the scatter plot shown in Figure 10–1(b) shows a negative
linear relationship. In this case, as the values of the independent variable increase, the
values of the dependent variable decrease. Also, the points show a somewhat straight line
going in a downward direction from left to right.
The pattern of the points of the scatter plot shown in Figure 10–1(c) shows some type
of a nonlinear relationship or a curvilinear relationship.
Finally, the scatter plot shown in Figure 10-1(d) shows basically no relationshin
between the independent variable and the dependent variable since no pattern (line or
curve) can be seen.
10-3

What seems to be true about the figures at the top of the
page ?
Page 541
а.
When there is no relationship, the points are
widely scattered
b.
The pattern of the points can slope from left to
right and from right to left
Neither statement is true
C.
d.
Both are true

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