Solved Correlation and Regression (Business

Correlation and Regression MCQs for Competitive Exams

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Topic Notes: Correlation and Regression

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What is the implication when a linear regression line passes directly through the origin (0,0)?

Intercept is zero

Association is zero

Regression coefficient is zero

Correlation is zero

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In regression analysis, what is the process of verifying whether the underlying assumptions of the model are valid called?

significance analysis

weighted analysis

average analysis

specification analysis

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Given the values ∑xy = 40, N = 100, ∑x² = 80, and ∑y² = 20, what is the calculated correlation coefficient?

0.92

+1.0

-1.0

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Evaluate the following assertion and reason regarding linear relationships between variables: Assertion (A): A linear relationship between two variables does not necessarily imply an independent-dependent relationship. Reason (R): Causal relationships between variables may not always be supported by a sound theoretical framework.

Both (A) and (R) are true and (R) is the correct explanation

Both (A) and (R) are true, but (R) is not the correct explanation

(A) is false, but (R) is true

(A) is true, but (R) is false

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In statistical terms, what degree of dispersion indicates that all data points lie exactly on a regression line?

four

one

Two

five

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Which one of the following formulae is used to calculate probable error of correlation coincident between two variables of 'n' pairs of observations?

$$0.5758\left[ {\frac{{1 - {r^2}}}{n}} \right]$$

$$0.675\left[ {\frac{{1 - {r^2}}}{n}} \right]$$

$$0.6745\left[ {\frac{{1 - {r^2}}}{{\sqrt n }}} \right]$$

$$0.5758\left[ {\frac{{1 - {r^2}}}{{\sqrt n }}} \right]$$

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The intersecting point of two regression lines is

None of these

0, 0

$${b_{xy}},\,{b_{yx}}$$

$$\overline x ,\,\overline y $$

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Given the regression equations x = 0.85y and y = 0.89x, what is the calculated value of the coefficient of correlation?

0.87

0.75

0.89

0.86

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What does the linear equation Y = A + BX represent in statistical analysis?

Regression line of Y on X

None of these

Regression line of X on Y

Both A and B

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Karl Pearson's correlation coefficient is calculated by which of the following formula?

$$\frac{{{\text{Covariance of X and Y}}}}{{\sqrt {{\text{Var}}{\text{.}}\left( {\text{X}} \right)\,{\text{Var}}{\text{.}}\left( {\text{Y}} \right)} }}$$

$$\frac{{{\text{Var}}{\text{.}}\left( {\text{X}} \right)\,{\text{Var}}{\text{.}}\left( {\text{Y}} \right)}}{{\sqrt {{\text{Covariance of X and Y}}} }}$$

$$\frac{{{\text{Var}}{\text{.}}\left( {\text{X}} \right)\,{\text{Var}}{\text{.}}\left( {\text{Y}} \right)}}{{{\text{Covariance of X and Y}}}}$$

$$\frac{{{\text{Covariance of X and Y}}}}{{{\text{Var}}{\text{.}}\left( {\text{X}} \right)\,{\text{Var}}{\text{.}}\left( {\text{Y}} \right)}}$$

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Correlation and Regression MCQs for Competitive Exams

Correlation and Regression MCQs for Competitive Exams

Topic Notes: Correlation and Regression

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