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For a bivariate frequency distribution byx > 1, then byx is
- a)negative
- b)less than 1
- c)lies between 0 and 1
- d)none of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
For a bivariate frequency distributionbyx > 1,thenbyx isa)negativeb...
The regression coefficient b yx is defined as the change in Y per unit change in X. It is related to the correlation coefficient ρ(X,Y) and the regression coefficient b xy through the relationship:
byx⋅bxy=ρ2
Where ρ is the correlation coefficient, and ρ2 lies between 0 and 1.
Key Consideration: If byx >1, it means that the slope of the regression line predicting Y from X is greater than 1. However, b yx can still be positive or negative depending on the direction of the relationship.
The condition b yx >1 implies a steeper slope of the regression line for Y on X. It does not necessarily indicate negativity or positivity, as it depends on the data.
byx⋅bxy=ρ2
Where ρ is the correlation coefficient, and ρ2 lies between 0 and 1.
Key Consideration: If byx >1, it means that the slope of the regression line predicting Y from X is greater than 1. However, b yx can still be positive or negative depending on the direction of the relationship.
The condition b yx >1 implies a steeper slope of the regression line for Y on X. It does not necessarily indicate negativity or positivity, as it depends on the data.
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For a bivariate frequency distributionbyx > 1,thenbyx isa)negativeb)less than 1c)lies between 0 and 1d)none of theseCorrect answer is option 'D'. Can you explain this answer?
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