Tag: linear regression

Questions Related to linear regression

If the regression coefficient of x on y is -1/3 and that of y on x is -3/4. Find the value of correlation coefficient between x and y___.

business economics and quantitative methods linear regression aspects of correlation scatter graphs and correlation correlation

  1. -0.5

  2. 0.57

  3. 0.8

  4. None

Show answer
Correct Option: A

Correlation is______________.

business economics and quantitative methods linear regression aspects of correlation scatter graphs and correlation correlation

  1. independent of change of origin

  2. independent of change of scale

  3. independent of origin and not of scale

  4. both (A) and (B)

Show answer
Correct Option: D
Explanation:

Correlation is independent of change in both of scale and origin. Correlation simply measures the strength of association between two or more variables i.e. how strongly they are connected.

The angle between the two lines will be wider when the correlation between two variable is___________.

business economics and quantitative methods linear regression aspects of correlation scatter graphs and correlation correlation

  1. less

  2. more

  3. equal

  4. very high

Show answer
Correct Option: A
Explanation:

The larger the angle between the two regression lines, less the degree of correlation between the two variables and similarly, the small the angle between two lines, the larger would be the degree of correlation between them.

If the regression coefficient bxy is 2.0, what is the value of a in the given equation 2.9X = aY + 15?

business economics and quantitative methods linear regression aspects of correlation scatter graphs and correlation correlation

  1. 5.8

  2. 2.9

  3. 6.18

  4. 4.32

Show answer
Correct Option: A

When there is a linear relationship between two numerical variables it can be measured by.

business economics and quantitative methods linear regression aspects of correlation scatter graphs and correlation correlation

  1. Mean

  2. Mode

  3. Scatter diagram

  4. Coefficient of correlation

Show answer
Correct Option: D

What does correlation measure?

business economics and quantitative methods linear regression aspects of correlation scatter graphs and correlation correlation

  1. Direction and intensity of relationship among variables

  2. It measures covariation, not causation

  3. Both A and B

  4. None of the above

Show answer
Correct Option: C

If $bxy = 0.25$ and $byx = 0.64$, correlation coefficient is equal to ________.

business economics and quantitative methods linear regression aspects of correlation scatter graphs and correlation correlation

  1. $0.16$

  2. $0.40$

  3. $0.89$

  4. $0.30$

Show answer
Correct Option: B

Which one of the following is false statement ?

business economics and quantitative methods linear regression aspects of correlation scatter graphs and correlation correlation

  1. The sign of the regression coefficients are always the same.

  2. Correlation coefficient is the geometric mean of the regression coefficients.

  3. The co-variance between two variables divided by the product of their standard deviations produces the value of coefficient of correlation.

  4. Coefficient of correlation is independent of origin but not of sale.

Show answer
Correct Option: D

If the value of co-efficient of determination is $0.64$, what is the value of co-efficient of correlation?

business economics and quantitative methods linear regression aspects of correlation scatter graphs and correlation correlation

  1. $0.40$

  2. $0.80$

  3. $0.08$

  4. $0.04$

Show answer
Correct Option: B

Which of the following is not true?

business economics and quantitative methods linear regression aspects of correlation scatter graphs and correlation correlation

  1. Correlation means when value of one variable changes, the other variable also changes in the same direction

  2. Correlation studies and measures the direction and intensity of relationship among variables

  3. A scatter diagram visually presents the nature of association without giving any specific numerical value

  4. None of these

Show answer
Correct Option: A