Correlation and Regression 1

This quiz is about MCQ on correlation and regression analysis.

This Section contains MCQs on Correlation Analysis, Simple Regression Analysis, Multiple Regression Analysis, Coefficient of Determination (Explained Variation), Unexplained Variation, Model Selection Criteria, Model Assumptions, Interpretation of results, Intercept, Slope, Partial Correlation, Significance tests, OLS Assumptions, Multicollinearity, Heteroscedasticity, Autocorrelation, etc. Let us start MCQ on Correlation and Regression Analysis

1. If each of $X$ variable is divided by 5 and $Y$ by 10 then $\beta_{YX}$ by coded value is:


2. When two variables more in the same direction then the correlation between the variable is


3. If regression line $\hat{y}=5$ then value of regression coefficient of $y$ on $x$ is


4. The geometric mean of the two regression coefficient $\beta_{YX}$ and $\beta_{XY}$ is equal to:


5. If $\rho$ is the correlation coefficient, the quantity $\sqrt{1-\rho^2}$ is termed as


6. In multiple linear regression analysis, the square root of Mean Squared Error (MSE) is called the:


7. An investigator reports that the arithmetic mean of two regression coefficients of a regression line is 0.7 and the correlation coefficient is 0.75. Are the results


8. Regression coefficient is independent of


9. The average of two regression coefficients is always greater than or equal to the correction coefficient is called:


10. If $\beta_{XY}$ and $\beta_{YX}$ are two regression coefficients, they have


11. If the two lines of regression are perpendicular to each other, the correlation coefficient $r=$ is:


12. The lines of regression intersect at the point


13. If the correlation coefficient between the variables $X$ and $Y$ is $\rho$, the correlation coefficient between $X^2$ and $Y^2$ is


14. If $\beta_{YX}>1$, then $\beta_{XY}$ is:


15. If $X$ and $Y$ are two independent variates with variance $\sigma_X^2$ and $\sigma_Y^2$, respectively, the coefficient of correlation between $X$ and ($X-Y$) is equal to:


16. Homogeneity of three or more population correlation coefficients can be tested by


17. The estimate of $\beta$ in the regression equation $Y=\alpha+\beta\,X + e$ by the method of least square is:


18. The range of a partial correlation coefficient is:


19. If all the actual and estimated values of $Y$ are the same on the regression line, the sum of squares of errors will be


20. If $\rho=0$, the lines of regression are:


Correlation is a statistical measure used to determine the strength and direction of the mutual relationship between two quantitative variables. The regression describes how an explanatory variable is numerically related to the dependent variables.

Both of the tools are used to represent the linear relationship between the two quantitative variables. The relationship between variables can be observed either using graphical representation between the variables or numerical computation using appropriate computational formula.

MCQ Correlation and Regression

Note that neither regression nor correlation analyses can be interpreted as establishing some cause-and-effect relationships. Both of these can be used to indicate only how or to what extent the variables under study are associated (or mutually related) with each other. The correlation coefficient measures only the degree (strength) and direction of linear association between the two variables. Any conclusions about a cause-and-effect relationship must be based on the judgment of the analyst.

Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

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30 Responses

  1. asma aftab says:

    these are very useful for preparation of objective paper..–thank you-

  2. Inbasat Masood says:

    Thanku Sir mujy mil gy thy answers

  3. Inbasat Masood says:

    sir these mcq’s are very useful but i dont find answers here , kindly tell me how to get añswer i m not getting even aftr submit

    • When you press the show answer or next button correct answer is ticked with green color tick point. When you submit the complete quiz, you will get the results of all MCQs for the quiz after few seconds. If complete results are not shown it may be possible that you have some ade blocker plugin installed on your browser. Do allow the browser for the site.

  4. Jamil Sheikh says:

    Thank you Sir Dr. Muhammad Imdadullah.

  5. Rupali says:

    If x and y are uncorreleunc then vat(x-y)=? Give explanation

  6. Shamnaz Nazeer says:

    It’s usefulness for the study of Quantitative techniques

  7. Prabin says:

    Great Wortk

  8. Anurag Joshi says:

    In the linear regression equation:

    Which variable is fixed and which one is random, between x & y ?

    • The variable X and Y both are random in real sense. However, regarding the theory of least square, Variable X is assumed to be fixed (known). In other words, they (X’s) are assumed to have no random error. Also note that, in observational studies X is random while in experimental studies X is fixed.

  9. rukh says:

    thank you Dr Imdadullah, this is very helpful session for all.

    • Perez says:

      Can the correlation coefficient distinguish between the dependent and independent random variables with regards to question one?

      • Correlation is a measure of strength between two quantitative variables. It measures the interdependence between these variables, so one cannot distinguish between the dependent and independent using only correlation coefficient.

  10. Jasdem says:

    Where is next page of qt mcq

  11. Ansar says:

    When we want to download pdf file for answers it says nothing found .

  12. Aamir Khan says:

    JAZAK ALLAH, appreciative and very helpful…. Nice work

  13. Vitthal says:

    Thank You Muhammad Sir……

  14. Fouzia says:

    Want some notes on correlation and regression

  15. tariq and rumsha says:

    jazakALLAH…….. very good work

  16. MASOOM says:


  17. imtiaz malik says:

    nice exercise

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