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If the plotted points in a scatter diagram are evenly distributed, then the correlation is
- a)Zero
- b)Negative
- c)Positive
- d)(a) or (b).
Correct answer is option 'A'. Can you explain this answer?
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If the plotted points in a scatter diagram are evenly distributed, the...
Scatter Diagram and Correlation
A scatter diagram is a graph that displays the relationship between two variables. It shows how one variable is affected by the other. The points in the scatter diagram represent the values of the two variables.
Correlation is a statistical measure that shows the degree to which two variables are related to each other. It indicates the strength and direction of the relationship between the two variables.
Evenly Distributed Scatter Diagram
When the plotted points in a scatter diagram are evenly distributed, it means that there is no pattern or trend in the data. This indicates that there is no relationship between the two variables.
In such a case, the correlation between the two variables is zero. This is because correlation measures the extent to which the two variables move together, and if there is no relationship, there is no movement.
Therefore, the correct answer to the question is option 'A' - zero.
A scatter diagram is a graph that displays the relationship between two variables. It shows how one variable is affected by the other. The points in the scatter diagram represent the values of the two variables.
Correlation is a statistical measure that shows the degree to which two variables are related to each other. It indicates the strength and direction of the relationship between the two variables.
Evenly Distributed Scatter Diagram
When the plotted points in a scatter diagram are evenly distributed, it means that there is no pattern or trend in the data. This indicates that there is no relationship between the two variables.
In such a case, the correlation between the two variables is zero. This is because correlation measures the extent to which the two variables move together, and if there is no relationship, there is no movement.
Therefore, the correct answer to the question is option 'A' - zero.
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If the plotted points in a scatter diagram are evenly distributed, the...
When points in a scatter diagram are evenly distributed in a random pattern, it means that there is no discernible trend or relationship between the two variables being plotted. This lack of a pattern indicates that as one variable changes, the other does not change in any predictable way.
In terms of correlation:
- Positive correlation: The points would trend upward from left to right, indicating that as one variable increases, the other also increases.
- Negative correlation: The points would trend downward from left to right, indicating that as one variable increases, the other decreases.
- Zero correlation: The points are scattered randomly without any clear upward or downward trend, showing no relationship between the variables.
Therefore, when the points are evenly distributed in a scatter diagram without any discernible pattern, the correlation is zero, meaning there's no linear relationship between the variables.
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If the plotted points in a scatter diagram are evenly distributed, then the correlation isa)Zerob)Negativec)Positived)(a) or (b).Correct answer is option 'A'. Can you explain this answer?
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