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If all the plotted points in a scatter diagram lie on a single line, then the correlation is
- a)Perfect positive
- b)Perfect negative
- c)Both (a) or (b)
- d)Either (a) or (b)
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If all the plotted points in a scatter diagram lie on a single line, t...
Explanation:
A scatter diagram is a graphical representation of a correlation between two variables. It consists of a series of points plotted on a graph, with one variable represented on the x-axis and the other variable represented on the y-axis.
If all the plotted points in a scatter diagram lie on a single straight line, it indicates a strong linear relationship between the two variables. In this case, the correlation can be either perfect positive or perfect negative.
Perfect Positive Correlation:
If all the points lie on a line that slopes upwards from left to right, it indicates a perfect positive correlation. This means that as the value of one variable increases, the value of the other variable also increases proportionally. The correlation coefficient in this case would be +1.
Perfect Negative Correlation:
If all the points lie on a line that slopes downwards from left to right, it indicates a perfect negative correlation. This means that as the value of one variable increases, the value of the other variable decreases proportionally. The correlation coefficient in this case would be -1.
Explanation of Option D:
Option D states that the correlation can be either perfect positive or perfect negative. This is because if all the plotted points in a scatter diagram lie on a single line, it indicates a strong linear relationship between the two variables. This relationship can be positive or negative depending on the slope of the line.
Therefore, option D is the correct answer as it encompasses both possibilities of a perfect positive or perfect negative correlation when all the plotted points in a scatter diagram lie on a single line.
A scatter diagram is a graphical representation of a correlation between two variables. It consists of a series of points plotted on a graph, with one variable represented on the x-axis and the other variable represented on the y-axis.
If all the plotted points in a scatter diagram lie on a single straight line, it indicates a strong linear relationship between the two variables. In this case, the correlation can be either perfect positive or perfect negative.
Perfect Positive Correlation:
If all the points lie on a line that slopes upwards from left to right, it indicates a perfect positive correlation. This means that as the value of one variable increases, the value of the other variable also increases proportionally. The correlation coefficient in this case would be +1.
Perfect Negative Correlation:
If all the points lie on a line that slopes downwards from left to right, it indicates a perfect negative correlation. This means that as the value of one variable increases, the value of the other variable decreases proportionally. The correlation coefficient in this case would be -1.
Explanation of Option D:
Option D states that the correlation can be either perfect positive or perfect negative. This is because if all the plotted points in a scatter diagram lie on a single line, it indicates a strong linear relationship between the two variables. This relationship can be positive or negative depending on the slope of the line.
Therefore, option D is the correct answer as it encompasses both possibilities of a perfect positive or perfect negative correlation when all the plotted points in a scatter diagram lie on a single line.
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If all the plotted points in a scatter diagram lie on a single line, then the correlation isa)Perfect positiveb)Perfect negativec)Both (a) or (b)d)Either (a) or (b)Correct answer is option 'D'. Can you explain this answer?
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