The regression line is calculated as y=x. the will be the value of the correlation coefficient mcq

Correlation is a statistical tool that shows the association between two variables. Regression, on the other hand, evaluates the relationship between an independent and a dependent variable.

Below is a list of multiple-choice questions and answers on Correlation and Regression to understand the topic better.

1. Which of the following are types of correlation?
   1. Positive and Negative
   2. Simple, Partial and Multiple
   3. Linear and Nonlinear
   4. All of the above

Answer: d

2. Which of the following is true for the coefficient of correlation?
   1. The coefficient of correlation is not dependent on the change of scale
   2. The coefficient of correlation is not dependent on the change of origin
   3. The coefficient of correlation is not dependent on both the change of scale and change of origin
   4. None of the above

Answer: c

3. Which of the following statements is true for correlation analysis?
   1. It is a bivariate analysis
   2. It is a multivariate analysis
   3. It is a univariate analysis
   4. Both a and c

Answer: c

4. If the values of two variables move in the same direction, ___________
   1. The correlation is said to be non-linear
   2. The correlation is said to be linear
   3. The correlation is said to be negative
   4. The correlation is said to be positive

Answer: d

5. If the values of two variables move in the opposite direction, ___________
   1. The correlation is said to be linear
   2. The correlation is said to be non-linear
   3. The correlation is said to be positive
   4. The correlation is said to be negative

Answer: d

6. Which of the following techniques is an analysis of the relationship between two variables to help provide the prediction mechanism?
   1. Standard error
   2. Correlation
   3. Regression
   4. None of the above

Answer: c

7. Which of the following statements is true about the arithmetic mean of two regression coefficients?
   1. It is less than the correlation coefficient
   2. It is equal to the correlation coefficient
   3. It is greater than or equal to the correlation coefficient
   4. It is greater than the correlation coefficient

Answer: d

8. What is the meaning of the testing of the hypothesis?
   1. It is a significant estimation of the problem
   2. It is a rule for acceptance or rejection of the hypothesis of the research problem
   3. It is a method of making a significant statement
   4. None of the above

Answer: b

9. Which of the following statements is true about the null hypothesis?
   1. Any wrong decision related to the null hypothesis results in two types of errors
   2. Any wrong decision related to the null hypothesis results in one type of an error
   3. Any wrong decision related to the null hypothesis results in four types of errors
   4. Any wrong decision related to the null hypothesis results in three types of errors

Answer: a

10. Which of the following statements is true about the type two error?
    1. Type two error means to accept an incorrect hypothesis
    2. Type two error means to reject an incorrect hypothesis
    3. Type two error means to accept a correct hypothesis
    4. Type two error means to reject a correct hypothesis

Answer: a

11. Which of the following statements is true about the level of significance?
    1. In testing a hypothesis, we take the level of significance as 2% if it is not mentioned earlier
    2. In testing a hypothesis, we take the level of significance as 1% if it is not mentioned earlier
    3. In testing a hypothesis, we take the level of significance as 10% if it is not mentioned earlier
    4. In testing a hypothesis, we take the level of significance as 5% if it is not mentioned earlier

Answer: a

12. The independent variable is used to explain the dependent variable in ________.
    1. Linear regression analysis
    2. Multiple regression analysis
    3. Non-linear regression analysis
    4. None of the above

Answer: a

13. Which of the following statements is true about the regression line?
    1. A regression line is also known as the line of the average relationship
    2. A regression line is also known as the estimating equation
    3. A regression line is also known as the prediction equation
    4. All of the above

Answer: d

14. Which of the following statements is true about the correlational analysis between two sets of data?
    1. The correlational analysis between two sets of data is known as a simple correlation
    2. The correlational analysis between two sets of data is known as multiple correlation
    3. The correlational analysis between two sets of data is known as partial correlation
    4. None of the above

Answer: a

15. The original hypothesis is known as ______.
    1. Alternate hypothesis
    2. Null hypothesis
    3. Both a and b are incorrect
    4. Both a and b are correct

Answer: b

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