Regression

Correlation and Regression Analysis, simple and multiple regression, regression, regression diagnostics, Assumptions of the regression model, model selection criteria, Linear Regression models, Relationship between Variables, Strength, and direction of the relationship

Linear Regression Quiz 15

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Test your understanding of fundamental linear regression concepts with this Linear Regression Quiz. The Linear Regression Quiz covers key properties of regression and correlation coefficients, their invariance under data transformations, and includes practical problems on calculating correlation, regression lines, and interpreting results. Perfect for statistics students and data analysts. Let us start with the Linear Regression Quiz now.

Online Linear Regression Quiz with Answers

Online Correlation and Regression Multiple Choice Questions with Answers

1. If $b_{yx} = -\frac{3}{2}$ and $b_{xy} = -\frac{1}{6}$ then the value of $r$ is

 
 
 
 

2. If we add or subtract any constant number from each observation of data, then the regression coefficients:

 
 
 
 

3. In the regression line $Y$ on $X$; $Y=a+bX$, $a$ is known as

 
 
 
 

4. The error in the case of regression analysis may be

 
 
 
 

5. If all the observation points in the bi-variate data are defined in KMS, then the value of the correlation coefficient is in

 
 
 
 

6. When Judge-A has given 45 marks, then the error in estimation is

 
 
 
 

7. The correlation coefficient between the marks given by two judges in

Linear Regression Quiz 15

 
 
 
 

8. The two regression lines are $X+2Y-5=0$ and $2X+3Y-8=0$. If the variance of $Y$ is 4 then the variance of $X$ is

 
 
 
 

9. If $K$ is the arithmetic mean between the two regression coefficients and $r$ is the correlation, then which of the following must be true?

 
 
 
 

10. When Judge-B has given 50 marks, then the best estimated marks given by Judge-A are in the data below.

Linear Regression Quiz 15

 
 
 
 

11. If we multiply or divide any constant number by each of the variables involved in the data, then the value of $r$ is

 
 
 
 

12. Regression coefficients are independent of the change of

 
 
 
 

13. The average marks given by Judge-A and Judge-B areLinear Regression Quiz 15

 

 
 
 
 

14. The regression equation $Y$ on $X$ and $X$ on $Y$ are $9X+nY+8=0$ and $2X+Y-m=0$ and also the mean of $X$ and $Y$ are $-1$ and 4, respectively, then the values of $m$ and $n$ are

 
 
 
 

15. If we multiply or divide any constant number by each value of the variable, then the regression coefficients

 
 
 
 

16. Two judges $A$ and $B$, have given marks to seven students as follows”

Linear Regression Quiz 15

The regression coefficient of $Y$ on $X$ and $X$ on $Y$ are

 
 
 
 

17. The regression line of marks given by Judge-B than the marks given by Judge-A in the following data is

Linear Regression Quiz 15

 
 
 
 

18. If we add or subtract any constant number in each of the variables involved in the data, then the value of $r$ is

 
 
 
 

19. In the regression line $Y$ on $X$, the variable $X$ is so called

 
 
 
 

20. A Q-Q plot (Quantile-Quantile plot) of your regression residuals is used primarily to check which assumption?

 
 
 
 


Online Linear Regression Quiz with Answers

  • Regression coefficients are independent of the change of
  • If $K$ is the arithmetic mean between the two regression coefficients and $r$ is the correlation, then which of the following must be true?
  • If we add or subtract any constant number from each observation of data, then the regression coefficients:
  • If we multiply or divide any constant number by each value of the variable, then the regression coefficients
  • If we add or subtract any constant number in each of the variables involved in the data, then the value of $r$ is
  • If we multiply or divide any constant number by each of the variables involved in the data, then the value of $r$ is
  • If all the observation points in the bi-variate data are defined in KMS, then the value of the correlation coefficient is in
  • If $b_{yx} = -\frac{3}{2}$ and $b_{xy} = -\frac{1}{6}$ then the value of $r$ is
  • Two judges $A$ and $B$, have given marks to seven students as follows”: The regression coefficient of $Y$ on $X$ and $X$ on $Y$ are
  • The average marks given by Judge-A and Judge-B are  
  • The correlation coefficient between the marks given by two judges in
  • The regression line of marks given by Judge-B than the marks given by Judge-A in the following data is
  • When Judge-B has given 50 marks, then the best estimated marks given by Judge-A are in the data below.
  • When Judge-A has given 45 marks, then the error in estimation is
  • The two regression lines are $X+2Y-5=0$ and $2X+3Y-8=0$. If the variance of $Y$ is 4 then the variance of $X$ is
  • The regression equation $Y$ on $X$ and $X$ on $Y$ are $9X+nY+8=0$ and $2X+Y-m=0$ and also the mean of $X$ and $Y$ are $-1$ and 4, respectively, then the values of $m$ and $n$ are
  • The error in the case of regression analysis may be
  • In the regression line $Y$ on $X$, the variable $X$ is so called
  • In the regression line $Y$ on $X$; $Y=a+bX$, $a$ is known as
  • A Q-Q plot (Quantile-Quantile plot) of your regression residuals is used primarily to check which assumption?

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Regression Correlation MCQs 14

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Master the fundamentals of statistical relationships with this comprehensive 20-question Multiple Choice Quiz on Regression Correlation MCQs. Designed for students, researchers, data analysts, and aspiring data scientists, this quiz tests your understanding of key concepts essential for exams and job interviews. Challenge yourself with problems on finding regression equations, correlation coefficients, means, standard deviations, covariance, and the coefficient of determination. Perfect your skills in interpreting data and predicting values to solidify your grasp on these critical statistical techniques. Let us start with the Regression Correlation MCQs now.

Online Regression Correlation MCQs with Answers
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Online Regression Correlation MCQs with Answers

  • For the two variables, the regression of $Y$ on $X$ is $4X-5Y-90=0$ and the regression equation of $X$ on $Y$ is $X+kY-6=0$. If the coefficient of determination is 0.48, then the value of $k$ is
  • The two regression equations are given as: $3X+2Y=26$ and $6X+Y=31$. What are the mean values of $X$ and $Y$?
  • Two given regression equations are $2X+3Y=5$ and $x+2Y=4$, then equation of the $Y$ on $X$ is
  • The average price of an item is Rs. 25.5 with a standard deviation of Rs. 2.4 and the average demand of that item is 40 units per day with a standard deviation of 6 units. Correlation between them is $-0.8$. When the price is Rs. 24, then the estimated demand of that item is?
  • Given the following data $\Sigma Y=294$, $\Sigma X = 490$, $\Sigma XY=3125$, $\Sigma X^2 = 5350$, $\Sigma Y^2 = 1964$ and $n=49$, then what is the value of correlation coefficient?
  • The correlation coefficient between two variables $X$ and $Y$ is 0.8, and their covariance is 20. Also standard deviation of $X$ is 4; what is the standard deviation of $Y$?
  • The covariance between variables $X$ and $Y$ of five items is 6, and their standard deviations are 2.45 and 2.6, respectively. What is the value of $r$?
  • Given that $r=0.8$, $\Sigma XY = 60$, $\delta_Y = 2.5$, $\Sigma X^2=90$, where $X$ and $Y$ are the deviations from their respective means, then the value of $n$ is
  • If $r=0.6$, then the coefficient of non-determination is
  • The statement “two regression lines always intersect at the mean value of $X$ and $Y$” is
  • The value of $b_{yx}$ in the regression equation $2X + 3Y +50 =0$ is
  • The value of $a_{xy}$ in the regression equation $2X+3Y+50=0$ is
  • The regression coefficients are equal to zero if $r$ is equal to
  • The angle between the two regression lines depends upon
  • The slope of the regression line of $Y$ on $X$ is equal to
  • Given that $b_{yx}=1.36$ and $b_{xy}=0.613$ then the coefficient of determination is
  • The regression equations of two variables $X$ and $Y$ are given $3X+2Y-26=0$ and $6X+Y-31=0$. What is the value of the correlation coefficient?
  • The given data $\overline{x} = 36$, $\overline{y}=85$, $\sigma=8$, $\sigma_x=11$, $r=0.6$ then find the value of $X$ if $Y=75$.
  • For 10 observations on Price ($X$) and Supply ($Y$), the following data obtained: $\Sigma X = 130, \Sigma Y=220, \Sigma X^2 = 2288, \Sigma Y^2=5506, $\Sigma XY=3467$. Estimate the value of the supply if the price is 16?
  • The correlation coefficient is a

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Correlation Regression Quiz 13

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This Correlation Regression Quiz features essential MCQs on regression lines, coefficients, and interpretation. Prepare for your statistics exam or data analyst job test with this comprehensive correlation and regression quiz. Includes 20 MCQs on the coefficient of determination $(r^2$), regression coefficients, scatter plots, and the method introduced by Francis Galton. Ideal for students and aspiring data scientists. Let us start with the Online Correlation Regression Quiz now.

Online Correlation Regression Quiz with Answers
Please go to Correlation Regression Quiz 13 to view the test

Online Correlation Regression Quiz 13 with Answers

  • What is the necessary condition for the value of the regression coefficients?
  • Which of the following is the G.M. of two regression coefficients?
  • If $r$ is negative, then which of the following is true?
  • If the coefficient of correlation between two variables is 0.7, then the percentage of the variation uncounted for is
  • If the coefficient of correlation between two variables is $-0.9$, then the coefficient of determination is
  • The regression coefficients remain unchanged due to
  • If the value of $r=0$, then which of the following must be true?
  • What is the type of correlation between temperature and sales of cold drinks in summer?
  • The correlation coefficient shows the
  • If the change of one variable and the change of the other variable are constant (equal change), then the correlation is
  • The values of the coefficient of determination always lie in
  • The regression line, also known as
  • A numerical measure which shows a possible change in the value of $X$ for a unit in $Y$ is denoted as
  • In the regression line $Y=a + bX$, the value of $a$ is known as
  • What is the value of $b$ known as, in $Y=a+bX$ is
  • If the slopes of two regression lines are equal, then
  • What is the intersection point (common point) of two regression lines?
  • For a perfect strong correlation, if $b_{yx}=-0.5$, then what is the value of$b_{xy}$?
  • The term “regression was initially introduced by
  • If the regression equation of $Y$ on $X$ is $9X+nY+8=0$ and the equation of $X$ on $Y$ is $2X+Y-m=0$ and the mean of $X$ and $Y$ is $-1$ and $4$, respectively, then the values of $m$ and $n$ are

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