# Correlation and Regression 2

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. Multicollinearity exists when

2. In multiple regression, when the global test of significance is rejected, we can conclude that

3. What test statistic is used for a global test of significance?

4. To determine the height of a person when his weight is given is

5. If $\beta_{yx} = -1.36$ and $\beta_{xy} = -0.34$ then $r_{xy} =$

6. If the value of any regression coefficient is zero, then two variables are said to be

7. For the regression $\hat{Y}=5$, the value of regression coefficient of $Y$ on $X$ will be

8. The percent of the total variation of the dependent variable $Y$ explained by the set of independent variables $X$ is measured by

9. If one regression coefficient is greater than one then other will be

10. Relationship between the correlation coefficient and coefficient of determination is that

11. The strength (degree) of the correlation between a set of independent variables $X$ and a dependent variable $Y$ is measured by

12. The straight line graph of the linear equation $Y=a+bX$, the slope will be upward fi

13. The straight line graph of the linear equation $Y=a+BX$, the slope is horizontal if

14. Let the coefficient of determination computed to be 0.39 in a problem involving one independent variable and one dependent variable. This result means that

15. The straight line graph of the linear equation $Y=a+bX$, the slope will be downward if

16. A coefficient of correlation is computed to be -0.95 means that

17. If “time” is used as the independent variable in a simple linear regression analysis, then which of the following assumption could be violated

18. The dependent variable is also called

19. A residual is defined as

20. The dependent variable is also called

Correlation is a statistical measure used to determine the strength and direction of the mutual relationship between two quantitative variables. The value of correlation lies between $-1$ and $1$. 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.

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.

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.

### 9 Responses

1. knowledgeable materials

2. dhananjay rasal says:

best and knowledge gaining

3. Habiba says:

4. Anuj Chauhan says:

as I think You should explain the answers too.

5. Alfred says:

great and good for revision

6. Khalid Mahmood ANjum says:

Informative but if you add reference of answers, it will be appreciable

7. Rahmat says:

Salam Sir,
Sir l am going to appear in lecturer test therefore I need your kind help
Please share some books for FPSC test.