This quiz is about correlation and regression MCQs. The MCQs Quiz covers the topics of 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, Multicollinearity, Heteroscedasticity, Autocorrelation, etc. Let us start the Correlation and Regression MCQs Quiz.

Online MCQs about Correlation and Regression Analysis with Answers

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.

### Online Correlation and Regression MCQs Quiz

- The estimate of $\beta$ in the regression equation $Y=\alpha+\beta\,X + e$ by the method of least square is:
- If $\beta_{XY}$ and $\beta_{YX}$ are two regression coefficients, they have
- The average of two regression coefficients is always greater than or equal to the correction coefficient is called:
- If $\beta_{YX}>1$, then $\beta_{XY}$ is:
- If the two lines of regression are perpendicular to each other, the correlation coefficient $r=$ is:
- The regression coefficient is independent of
- If each of $X$ variable is divided by 5 and $Y$ by 10 then $\beta_{YX}$ by coded value is:
- The geometric mean of the two regression coefficient $\beta_{YX}$ and $\beta_{XY}$ is equal to:
- 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:
- In multiple linear regression analysis, the square root of Mean Squared Error (MSE) is called the:
- The range of a partial correlation coefficient is:
- Homogeneity of three or more population correlation coefficients can be tested by
- If $\rho$ is the correlation coefficient, the quantity $\sqrt{1-\rho^2}$ is termed as
- If the correlation coefficient between the variables $X$ and $Y$ is $\rho$, the correlation coefficient between $X^2$ and $Y^2$ is
- The lines of regression intersect at the point
- If $\rho=0$, the lines of regression are:
- 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
- If regression line $\hat{y}=5$ then value of regression coefficient of $y$ on $x$ is
- When two variables move in the same direction then the correlation between the variables is
- If all the actual and estimated values of $Y$ are the same on the regression line, the sum of squares of errors will be

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 a graphical representation between the variables or numerical computation using an 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.

Q#2 wrong

because

Regression coefficient is independent of

Both “Unit of measurement” and “Scale and origin”

Thank you dear! for mentioning the error in quiz. More explanation is added to the question.

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

Thank you, keep visiting and share the site.

Thanku Sir mujy mil gy thy answers

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

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Thank you Sir Dr. Muhammad Imdadullah.

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

If X and Y are uncorrelated then X and Y must be independent variables.

Independent variables have zero correlation, so will result in: $Var(X-Y)=Var(X)+Var(Y)$

It’s usefulness for the study of Quantitative techniques

Great Wortk

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.

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

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.

Where is next page of qt mcq

Could not understand what you want to say.

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

Link is working for me.

JAZAK ALLAH, appreciative and very helpful…. Nice work

Thank You Muhammad Sir……

Want some notes on correlation and regression

See regression section on right side

whhere is the answer for the questions?

There are two ways (1) Online Statistics MCQs test will help you to get answers. (2) Download the pdf file. The last page of it contains answers.

Very helpful thanks sir!

Sir kindly confirm these questions.

In Exercise 1:Q3 is( b) option&Q4 is (a)

Thank you!

Please share the question statement and options, as all questions appear in the test as random.

jazakALLAH…….. very good work

GOOD JOB FOR INTELGENT STU.

nice exercise