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Scatter diagram is considered for measuring
  • a)
    Linear relationship between two variables
  • b)
    Curvilinear relationship between two variables
  • c)
    Neither (a) nor (b)
  • d)
    Both (a) and (b).
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Scatter diagram is considered for measuringa)Linear relationship betwe...
Scatter Diagram
The scatter diagram is known by many names, such as scatter plot, scatter graph, and correlation chart. This diagram is drawn with two variables, usually the first variable is independent and the second variable is dependent on the first variable.

The scatter diagram is used to find the correlation between these two variables. This diagram helps you determine how closely the two variables are related. After determining the correlation between the variables, you can then predict the behavior of the dependent variable based on the measure of the independent variable. This chart is very useful when one variable is easy to measure and the other is not.
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Scatter diagram is considered for measuringa)Linear relationship betwe...
Scatter Diagram for Measuring Linear and Curvilinear Relationships Between Two Variables

Scatter diagram is a graphical representation of data points in a two-dimensional space. It is used to identify the relationship between two variables. The scatter diagram helps to understand the pattern and strength of the relationship between variables. It can be used to measure both linear and curvilinear relationships between variables.

Linear Relationship:

A linear relationship exists between two variables when the data points in a scatter diagram form a straight line. The scatter diagram can be used to measure the strength of the relationship through the following:

- Positive Linear Relationship: When one variable increases, the other variable also increases. The scatter diagram will show a positive slope from left to right.
- Negative Linear Relationship: When one variable increases, the other variable decreases. The scatter diagram will show a negative slope from left to right.
- No Linear Relationship: When there is no linear relationship between two variables, the scatter diagram will show no clear pattern.

Curvilinear Relationship:

A curvilinear relationship exists between two variables when the data points in a scatter diagram form a curve. The scatter diagram can be used to measure the strength of the relationship through the following:

- Positive Curvilinear Relationship: When one variable increases, the rate of increase for the other variable also increases. The scatter diagram will show an upward curve.
- Negative Curvilinear Relationship: When one variable increases, the rate of increase for the other variable decreases. The scatter diagram will show a downward curve.
- No Curvilinear Relationship: When there is no curvilinear relationship between two variables, the scatter diagram will show no clear pattern.

Conclusion:

The scatter diagram is a useful tool to measure the relationship between two variables. It can be used to measure both linear and curvilinear relationships between variables. By analyzing the scatter diagram, we can determine the strength and direction of the relationship between two variables.
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Scatter diagram is considered for measuringa)Linear relationship between two variablesb)Curvilinear relationship between two variablesc)Neither (a) nor (b)d)Both (a) and (b).Correct answer is option 'D'. Can you explain this answer?
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