Tag: linear regression

Questions Related to linear regression

In statistics, 'regression' means _____________.

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

  1. act of returning back

  2. act of stepping back

  3. simply average relationship

  4. all of the above

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Correct Option: C
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.

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

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

  1. dependent variable

  2. independent variable

  3. both (A) and (B)

  4. none of the above

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Correct Option: A
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.

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

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

  1. negative slope

  2. positive slope

  3. running downwards from left to right

  4. both (A) and (C)

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Correct Option: D
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.

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

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

  1. be positive slope

  2. move upwards from left to right

  3. be negative slope

  4. both (A) and (B)

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Correct Option: A
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.

The word 'Regression' was first used by___________.

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

  1. Karl Pearson

  2. Sir Francis Galton

  3. M. Blair

  4. Bowley

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Correct Option: B
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.

Under regression analysis, there is____________.

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

  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

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Correct Option: A
Explanation:

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

Regression analysis studies____________.

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

  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

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Correct Option: C
Explanation:

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

Regression means_________.

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

  1. act of returning back

  2. method of studying correlation between two variables

  3. the direction of change

  4. simply average relationship

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Correct Option: B
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.

If bxy$=0.25$ and byx$=0.64$, correlation coefficient is _________.

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

  1. $0.16$

  2. $0.40$

  3. $0.89$

  4. $0.30$

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Correct Option: B

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

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

  1. $\sqrt{byx \times bxy}$

  2. $ byx = \dfrac{r sy}{sx}$

  3. $bxy = \dfrac{r sx}{sy}$

  4. none of the above

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Correct Option: C