Best Correlation and Regression Quiz 2

The post is about the Correlation and Regression Quiz. There are 20 multiple-choice questions. The quiz covers the topics related to correlation analysis and regression analysis, Basic concepts, assumptions, and violations of correlation and regression analysis, Model selection criteria, interpretation of correlation and regression coefficients, etc.

Online MCQs about Correlation and Regression Analysis with Answers

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

 Z-test

 t-test

 F-test

 Chi-square test

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

 Regression problem

 Anova probelm

 Correlation problem

 Association problem

3. 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

 39% of the total variation is explained by the independent variable

 The relationship between the two variables is negative

 The correlation coefficient is 0.39 also

 39% of the total variation is explained by the dependent variable

4. In the straight line graph of the linear equation $Y=a+bX$, the slope will be upward if

 $b\ne0$

 $b=0$

 $b < 0$

 $b>0$

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

 Coefficient of Skewness

 Coefficient of Determination

 Standard Error of Estimate

 Multicollinearity

  Coefficient of Correlation

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

 The regression equation intersects the Y-axis at zero.

 At least one sample regression coefficient is not equal to zero

 All of the net sample regression coefficients are equal to zero

 All of the sample regression coefficients are not equal to zero

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

 0.5

 0

 5

 1

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

 The correlation coefficient cannot have this value

 The relationship between the two variables is weak

 The relationship between the two variables is strong and positive

 The relationship between the two variables is strong and but negative

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

 $a=b$

 $b=0$

 $b=1$

 $b\ne0$

10. The dependent variable is also called

 Regressand variable

 All of the options

 Explained variable

 Predictand variable

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

 0.46

 0.21

 0.68

 -0.68

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

 $b < 0$

 $b\ne0$

 $b=0$

 $b>0$

13. Multicollinearity exists when

 An independent variable is strongly correlated with a dependent variable

 Independent variables are correlated less than -0.70 or more than 0.70

 There is only one independent variable

 The relationship between the dependent and independent variable is non-linear

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

 Equal to one

 Less than one

 Equal to minus one

 More than one

15. A residual is defined as

 $ Y−\hat{Y} $

 Type I Error

 Regression Sum of Squares

 Error Sum of Square

16. The relationship between the correlation coefficient and the coefficient of determination is that

 The coefficient of determination is the coefficient of correlation squared

 The coefficient of determination is the square root of the coefficient of correlation

 Both are equal

 Both are unrelated

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

 There is a linear relationship between the independent and dependent variables

 Successive observations of the dependent variable are uncorrelated

 The residuals are normally distributed

 The residual variation is the same for all fitted values of Y

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

 Qualitative

 Correlated

 Dependent

 Independent

19. The dependent variable is also called

 Regressand

 Continuous variable

 Explanatory variable

 Regressor

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

 Coefficient of Determination

 Standard error of estimate

  Coefficient of Correlation

 All of the above

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Online Correlation and Regression Quiz with Answers

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• The strength (degree) of the correlation between a set of independent variables $X$ and a dependent variable $Y$ is measured by
• The percent of the total variation of the dependent variable $Y$ explained by the set of independent variables $X$ is measured by
• A coefficient of correlation is computed to be -0.95 means that
• 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
• The relationship between the correlation coefficient and the coefficient of determination is that
• Multicollinearity exists when
• If “time” is used as the independent variable in a simple linear regression analysis, then which of the following assumptions could be violated
• In multiple regression, when the global test of significance is rejected, we can conclude that
• A residual is defined as
• What test statistic is used for a global test of significance?
• If the value of any regression coefficient is zero, then two variables are said to be
• In the straight line graph of the linear equation $Y=a+bX$, the slope will be upward if
• In the straight line graph of the linear equation $Y=a+bX$, the slope will be downward if
• In the straight line graph of the linear equation $Y=a+BX$, the slope is horizontal if
• For the regression $\hat{Y}=5$, the value of regression coefficient of $Y$ on $X$ will be
• If $\beta_{yx} = -1.36$ and $\beta_{xy} = -0.34$ then $r_{xy} =$
• If one regression coefficient is greater than one then the other will be
• To determine the height of a person when his weight is given is
• The dependent variable is also called
• The dependent variable is also called

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