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Comprehension:
For the following data

If the regression equation of Y on X is Y= 0.929X + 7.284, then correlation coefficient is
  • a)
    Greater than 1
  • b)
    Less than 1
  • c)
    Equal to 1
  • d)
    0
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Comprehension:For the following dataIf the regression equation of Y on...
Concept:
The regression coefficients bxy & byx are the change occurring in x for a unit change in y and y for a unit change in x respectively
Formulae
Regression coefficient of X on Y, bxy  
Coefficient of correlations 
Calculation:
Given:

Regression equation of Y on X is Y= 0.929X + 7.284.
So, byx = 0.929
Regression equation of X on Y is X = 0.929Y - 6.219.
So, bxy = 0.929
We know that correlation coefficient, 

∴ Correlation coefficient is less than 1.
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Comprehension:For the following dataIf the regression equation of Y on X is Y= 0.929X + 7.284, then correlation coefficient isa)Greater than 1b)Less than 1c)Equal to 1d)0Correct answer is option 'B'. Can you explain this answer?
Question Description
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