# 2453 Correlation & Causality

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
| By Anthony Nunan
A
Anthony Nunan
Community Contributor
Quizzes Created: 132 | Total Attempts: 44,116
Questions: 15 | Attempts: 331

Settings

The Coefficient of Determination is generally measured as a percentage. If it is 95% then the statement would read as :
95% of the variation of the dependent variable (y variable), can be explained by the variation in the independent variable (x variable)

• 1.

### Jack is on a fitness campaign.He is measuring his improvement by counting the number of pushups he can do in one minute.He measures his progress at the end of each week.According to the line of linear regression, he has a Correlation Coefficient of 0.94.Which statement is most correct :

• A.

94% of the variation in his push up count can be explained by the number of weeks he has attended training

• B.

94% of the variation in his weekly attendance explained by the variation in his push-up count

• C.

89% of the variation in his push up count can be explained by the number of weeks he has attended training

• D.

89% of the variation in his weekly attendance explained by the variation in his push-up count

• E.

There relationship between attendance and pushups is non-linear

C. 89% of the variation in his push up count can be explained by the number of weeks he has attended training
Explanation
The correlation coefficient of 0.94 indicates a strong positive linear relationship between the number of weeks Jack has attended training and his push up count. However, the statement "94% of the variation in his push up count can be explained by the number of weeks he has attended training" is not correct. The correct statement is "89% of the variation in his push up count can be explained by the number of weeks he has attended training." This means that the number of weeks attended training explains 89% of the variability in Jack's push up count.

Rate this question:

• 2.

### Paddy is on a fitness campaign. He is measuring his improvement by counting the number of pushups he can do in one minute. He measures his progress at the end of each week. According to the line of linear regression, he has a Correlation Coefficient of 0.91 Which statement is most correct :

• A.

91% of the variation in his push up count can be explained by the number of weeks he has attended training

• B.

91% of the variation in his weekly attendance explained by the variation in his push-up count

• C.

82% of the variation in his push up count can be explained by the number of weeks he has attended training

• D.

82% of the variation in his weekly attendance explained by the variation in his push-up count

• E.

The relationship between attendance at training and pushups is non-linear

E. The relationship between attendance at training and pushups is non-linear
• 3.

### Jack is on a fitness campaign. He is measuring his improvement by counting the number of pushups he can do in one minute. He measures his progress at the end of each week. According to the line of linear regression, he has an 'r' value of 0.94. Which statement is most correct :

• A.

94% of the variation in his push up count can be explained by the number of weeks he has attended training

• B.

94% of the variation in his weekly attendance explained by the variation in his push-up count

• C.

89% of the variation in his push up count can be explained by the number of weeks he has attended training

• D.

89% of the variation in his weekly attendance explained by the variation in his push-up count

• E.

There relationship between attendance and pushups is non-linear