Correlation and Regression 5

This Quiz contains MCQs about Correlation and 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, graphical representation of the relationship between the variables, etc. Let us start MCQs about Correlation and Regression Analysis.

1. The independent variable is also called


2. In the Least Square Regression Line, $\sum(Y-\hat{Y})^2$ is always


3. If all the values fall on the same straight line and the line has a positive slope then what will be the value of the Correlation coefficient $r$:


4. For the Least Square trend $\hat{Y}=\alpha+\beta X$


5. In Regression Analysis $\sum\hat{Y}$ is equal to


6. The correlation coefficient is the _________ of two regression coefficients.


7. In Regression Analysis, the regression line ($Y=\alpha+\beta X$) always intersect at the point


8. In the regression equation $Y=a+bX$, the $Y$ is called


9. The best-fitting trend is one for which the sum of squares of error is


10. In the Least Square Regression line, the quantity $\sum(Y-\hat{Y})$ is always


11. If a straight line is fitted to data, then


12. Which one is equal to explained variation divided by total variation?


13. The dependent variable in a regression line is


14. The process by which we estimate the value of dependent variable on the basis of one or more independent variables is called


15. The method of least squares directs that select a regression line where the sum of the squares of the deviations of the points from the regression line is


16. A relationship where the flow of the data points is best represented by a curve is called


17. The regression Line always passes through


18. All the data points falling along a straight line is called


19. The predicted rate of response of the dependent variable to changes in the independent variable is called


20. In the regression equation $Y=a+bX$, the $X$ is called


Correlation is a statistical measure used to determine the strength and direction of the mutual relationship between two quantitative variables. The value of the correlation lies between $-1$ and $1$. The regression analysis 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 using graphical representation between the variables. We can also compute the strength of the relationship between variables by performing numerical calculations using appropriate computational formulas.

MCQ Regression Analysis

Note that neither regression nor correlation analyses can be interpreted as establishing some cause-and-effect relationships. Both correlation and regression are used to indicate 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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8 Responses

  1. Wajeeha says:

    The process by which we estimate the value of dependent variable on the basis of one or more independent variables is called

    Slope Coefficients

    This question answer is (Regression)

  2. FIFA Muhammad says:

    The first two test is very top.can’t attempt any or level student.possible for only MSC statistic.after 3rd test the mcqs is enjoyable.and tks provided sevices.

  3. shadia el hadad says:




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