Tag: linear regression

Quizzes (2) Questions (75)

Questions Related to linear regression

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

In statistics, 'regression' means _____________.

  1. act of returning back

  2. act of stepping back

  3. simply average relationship

  4. all of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Regression is a statistical measure that shows the relationship between two variables i.e. between dependent and independent variable. It also refers to as simply average relationships.

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

The Linear regression equation y = a + bx helps to estimate the _______.

  1. dependent variable

  2. independent variable

  3. both (A) and (B)

  4. none of the above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Regression equations are algebraic equations of regression lines. Regression equation of y on x can be stated as y=a+bx while regression equation of x on y will be stated as x=a+by.

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

When r = -1, the lines of regression will be_____________.

  1. negative slope

  2. positive slope

  3. running downwards from left to right

  4. both (A) and (C)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When coefficient of correlation is -1, then the two lines of regression coincides and have a negative slope and also run downwards from left to right.

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

When r = +1, the lines of regression will_____________.

  1. be positive slope

  2. move upwards from left to right

  3. be negative slope

  4. both (A) and (B)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When coefficient of correlation is +1, it is referred to as perfect positive correlation and the two lines of regression coincide and it has a positive slope.

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

The word 'Regression' was first used by___________.

  1. Karl Pearson

  2. Sir Francis Galton

  3. M. Blair

  4. Bowley
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The term regression was first used by Sir Francis Galton to represent the biological phenomenon that the the heights of descendants of tall ancestors tend to regress down towards a normal average.

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

Under regression analysis, there is____________.

  1. relationship between the independent variable and dependent variable

  2. no relationship between the independent variable and dependent variable

  3. no cause and effect relationship

  4. none of the above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Under regression analysis, relationship between the independent variable and the dependent variable is considered and the degree of relationship between them is ascertained.

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

Regression analysis studies____________.

  1. the degree of variability between the two variables

  2. the direction of relationship between the two variables

  3. the nature of relationship between the two variables

  4. none of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Regression analysis studies the relationship between two variables (between dependent and independent variable) that is the strength of association between the variables

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

Regression means_________.

  1. act of returning back

  2. method of studying correlation between two variables

  3. the direction of change

  4. simply average relationship
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Regression analysis is a set of statistical measure for estimating the relationship between two variables i.e. how the dependent variable changes when there is a change in an independent variable.

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

The regression co-efficient of x on y is represented by__________.

  1. $\sqrt{byx \times bxy}$
  2. $ byx = \dfrac{r sy}{sx}$
  3. $bxy = \dfrac{r sx}{sy}$

  4. none of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The regression coefficient of X on Y (bxy) is defined as r * (sx / sy), where r is the correlation coefficient and sx, sy are the standard deviations of X and Y respectively.