Question
Which of the following statements about correlation
coefficient and regression coefficients are correct? (A) The correlation coefficient is unaffected by change of origin and scale (B) Regression coefficients are independent of change of origin but not of scale (C) Correlation coefficient is the geometric mean of two regression coefficients (D) If one regression coefficient is greater than 1, the other must also be greater than 1 Choose the correct answer from the options given belowSolution
(A) The correlation coefficient is unaffected by change of origin and scale: True, it measures the strength of a linear relationship regardless of the units of measurement. (B) Regression coefficients are independent of change of origin but not of scale: True, changing the scale affects the slope but not the relationship's nature. (C) Correlation coefficient is the geometric mean of two regression coefficients: True, it's a relationship between the regression coefficients in bivariate normal distribution.
Statements : No painting is a pencil.
Some pencils are drawings.
All drawings are sketches.
Conclusions : I. Some sketches are dr...
In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be tru...
Statements:
All pinks are blacks
Only a few blacks are greens
Some greens are not whites
Only a few whites are orange
...Three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at a variance wi...
In the following question, some conclusions are given and some statements are given you have to take the given conclusions to be true even if they seem...
Statement:
I) Some pink are red
II) Some red are green
III) All green are yellow
IV) No yellow is blue
Conclusion:
Statements:
All lion are tiger
No tiger is a cat
No lion is a dog
Conclusions:
I. Some lion are not cat
II. Some tiger are not dog
Statements:
Some wire are cable.
Some cable are hub.
Only hub is switch.
Some board are hub.
Conclusions:
I. N...
Statements:Â Â Â Â Â
No book is a pencil.
All books are boards.
All boards are dusters.
No eraser is a duster.
...
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if ...