GATE Exam > GATE Questions > The correlation coefficient (r) between two v...
Start Learning for Free
The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is ______________
(Important - Enter only the numerical value in the answer)
Correct answer is '19'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The correlation coefficient (r) between two variables is 0.9. The unex...
The correlation coefficient (r) between two variables measures the strength and direction of the linear relationship between them. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no linear correlation.
To calculate the unexplained variation, we need to understand the concept of explained variation first.
Explained variation is the proportion of the total variation in one variable that can be explained by the linear relationship with the other variable. It is calculated by squaring the correlation coefficient (r) and multiplying it by 100. In other words, it represents the percentage of the variation in one variable that is accounted for by the other variable.
So, the formula for explained variation is:
Explained Variation = (r^2) * 100
Given that the correlation coefficient (r) between the two variables is 0.9, we can calculate the explained variation as follows:
Explained Variation = (0.9^2) * 100 = 0.81 * 100 = 81%
Now, to calculate the unexplained variation, we subtract the explained variation from 100%:
Unexplained Variation = 100% - Explained Variation = 100% - 81% = 19%
Therefore, the unexplained variation is 19%.
This means that 19% of the total variation in one variable cannot be explained by the linear relationship with the other variable. It represents the random or unpredictable part of the variation that is not accounted for by the correlation between the two variables.
To calculate the unexplained variation, we need to understand the concept of explained variation first.
Explained variation is the proportion of the total variation in one variable that can be explained by the linear relationship with the other variable. It is calculated by squaring the correlation coefficient (r) and multiplying it by 100. In other words, it represents the percentage of the variation in one variable that is accounted for by the other variable.
So, the formula for explained variation is:
Explained Variation = (r^2) * 100
Given that the correlation coefficient (r) between the two variables is 0.9, we can calculate the explained variation as follows:
Explained Variation = (0.9^2) * 100 = 0.81 * 100 = 81%
Now, to calculate the unexplained variation, we subtract the explained variation from 100%:
Unexplained Variation = 100% - Explained Variation = 100% - 81% = 19%
Therefore, the unexplained variation is 19%.
This means that 19% of the total variation in one variable cannot be explained by the linear relationship with the other variable. It represents the random or unpredictable part of the variation that is not accounted for by the correlation between the two variables.
Free Test
| FREE | Start Free Test |
Community Answer
The correlation coefficient (r) between two variables is 0.9. The unex...
Square of 0.9 is 0.81(81%)
100%-81% = 19%
100%-81% = 19%
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer?
Question Description
The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer?.
The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer?.
Solutions for The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer?, a detailed solution for The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer? has been provided alongside types of The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is______________(Important - Enter only the numerical value in the answer)Correct answer is '19'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup