Basic Statistics and Data Analysis

Lecture notes, MCQS of Statistics

Correlation and Regression 1

This Section contains Multiple Choice Questions 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. Lets start

MCQ on Correlation and Regression With Answer

Question 1:  The strength (degree) of the correlation between a set of independent variables X and a dependent variable Y is measured by

A) Coefficient of Correlation
B) Coefficient of Determination
C) Standard error of estimate
D) All of the above

Question 2: The percent of total variation of the dependent variable Y explained by the set of independent variables X is measured by

A) Coefficient of Correlation
B) Coefficient of Skewness
C) Coefficient of Determination
D) Standard Error or Estimate
E) Multicollinearity

Question 3: A coefficient of correlation is computed to be -0.95 means that

A) The relationship between two variables is weak
B) The relationship between two variables is strong and positive
C) The relationship between two variables is strong and but negative
D) Correlation coefficient cannot have this value

Question 4: 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

A) The relationship between two variables is negative
B) The correlation coefficient is 0.39 also
C) 39% of the total variation is explained by the independent variable
D) 39% of the total variation is explained by the dependent variable

Question 5: Relationship between correlation coefficient and coefficient of determination is that

A) both are unrelated
B) The coefficient of determination is the coefficient of correlation squared
C) The coefficient of determination is the square root of the coefficient of correlation
D) both are equal

Question 6: Multicollinearity exists when

A) Independent variables are correlated less than -0.70 or more than 0.70
B) An independent variables is strongly correlated with a dependent variable
C) There is only one independent variable
D) The relationship between dependent and independent variable is non-linear

Question 7: If “time” is used as the independent variable in a simple linear regression analysis, then which of the following assumption could be violated

A) There is a linear relationship between the independent and dependent variables
B) The residual variation is the same for all fitted values of Y
C) The residuals are normally distributed
D) Successive observations of the dependent variable are uncorrelated

Question 8: In multiple regression, when the global test of significance is rejected, we can conclude that

A) All of the net sample regression coefficients are equal to zero
B) All of the sample regression coefficients are not equal to zero
C) At least one sample regression coefficient is not equal to zero
D) The regression equation intersects the Y-axis at zero.

Question 9: A residual is defined as

A) $Y−\hat{Y}$
B) Error sum of square
C) Regression sum of squares
D) Type I Error

Question 10: What test statistic is used for a global test of significance?

A) Z test
B) t test
C) Chi-square test
D) F test


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The Author

Muhammad Imdadullah

Student and Instructor of Statistics and business mathematics. Currently Ph.D. Scholar (Statistics), Bahauddin Zakariya University Multan. Like Applied Statistics and Mathematics and Statistical Computing. Statistical and Mathematical software used are: SAS, STATA, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis etc.


Add a Comment
  1. Want some notes on correlation and regression

    1. See regression section on right side

      1. whhere is the answer for the questions?

        1. 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.

  2. Thank You Muhammad Sir……

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

  4. Where is next page of qt mcq

    1. Could not understand what you want to say.

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

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

      1. 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.

  6. In the linear regression equation:

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

    1. 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.

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