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If the coefficient of correlation between two variables is 0.7 then the percentage of variation unaccounted for is
- a)70%
- b)30%
- c)51%
- d)49%
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If the coefficient of correlation between two variables is 0.7 then th...
Step-by-step explanation:
Given: the coefficient of correlation between two variables is 0.7.
then the percentage of variation accounted for is given by
= square of coefficient of correlation
= 0.7^2 = 0.49
then the percentage of variation unaccounted for is = 1-0.49 =0.51
hence option c is correct
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Most Upvoted Answer
If the coefficient of correlation between two variables is 0.7 then th...
Introduction:
The coefficient of correlation measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a strong negative linear relationship, +1 indicates a strong positive linear relationship, and 0 indicates no linear relationship.
Given information:
The coefficient of correlation between two variables is 0.7.
Explanation:
The coefficient of correlation (r) can be interpreted as the proportion of variation in one variable that can be explained by the other variable.
To calculate the percentage of variation unaccounted for, we need to subtract the proportion of variation accounted for from 100%.
Step 1:
Calculate the square of the coefficient of correlation (r^2):
r^2 = 0.7^2 = 0.49
Step 2:
Subtract the square of the coefficient of correlation from 1:
1 - 0.49 = 0.51
Step 3:
Convert the result to a percentage:
0.51 * 100% = 51%
Conclusion:
Therefore, if the coefficient of correlation between two variables is 0.7, it means that 51% of the variation is unaccounted for. This indicates that there is still a significant amount of variation in the variables that is not explained by their linear relationship.
The coefficient of correlation measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a strong negative linear relationship, +1 indicates a strong positive linear relationship, and 0 indicates no linear relationship.
Given information:
The coefficient of correlation between two variables is 0.7.
Explanation:
The coefficient of correlation (r) can be interpreted as the proportion of variation in one variable that can be explained by the other variable.
To calculate the percentage of variation unaccounted for, we need to subtract the proportion of variation accounted for from 100%.
Step 1:
Calculate the square of the coefficient of correlation (r^2):
r^2 = 0.7^2 = 0.49
Step 2:
Subtract the square of the coefficient of correlation from 1:
1 - 0.49 = 0.51
Step 3:
Convert the result to a percentage:
0.51 * 100% = 51%
Conclusion:
Therefore, if the coefficient of correlation between two variables is 0.7, it means that 51% of the variation is unaccounted for. This indicates that there is still a significant amount of variation in the variables that is not explained by their linear relationship.
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If the coefficient of correlation between two variables is 0.7 then the percentage of variation unaccounted for isa)70%b)30%c)51%d)49%Correct answer is option 'C'. Can you explain this answer?
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