Notes Mathematical Economics-Online Practice Exam 6 December 16, 2023 December 20, 2023 NET / SET Online Practice Exams Mathematical Economics Test Multi-choice 6 Question 1. If the regression equation is a perfect estimator of the dependent variable then which of the following is not true ? Answers Option 1 All the data points fall on the regression line Option 2 The coefficient of determination is 1-00 Option 3 The standard error of estimate is zero Option 4 The coefficient of correlation is zero Feedback Wrong choice Incorrect selection Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 2. The extent to which the observed values of the depended variable differ from the predicted values according to the regression line is measured by- Answers Option 1 the slope of the regression line Option 2 the intercept of the regression line Option 3 the coefficient of determination Option 4 the standard error of estimate Feedback Wrong choice Incorrect selection Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 3. If the co-variance between two variables is positive then, the coefficient of correlation between them will be in the range of- Answers Option 1 0 to -1-00 Option 2 0 to -.50 Option 3 0 to 1-00 Option 4 0 to -.25 Feedback Wrong choice Incorrect selection Correct option Wrong choice Solution Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Question 4. The variances of variables, x and y, are 49 and 16 respectively, and the covariance between them is 14. What is the coefficient of correlation between x and y ? Answers Option 1 0.75 Option 2 0.25 Option 3 0.50 Option 4 0.10 Feedback Wrong choice Incorrect selection Correct option Wrong choice Solution Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Question 5. For a simple linear regression equation Σ(y – ŷ)2 = 256 and the standard error of estimate is 4. What is the number of observations ? Answers Option 1 12 Option 2 18 Option 3 21 Option 4 19 Feedback Wrong choice Correct option Incorrect selection Wrong choice Solution Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Question 6. The regression relationship between the variables x and y is given by ŷ = 4 + 5 x and, it explain 64% of the changes in the variable y. What is the coefficient of correlation between x and y ? Answers Option 1 0.80 Option 2 -0.80 Option 3 -0.18 Option 4 -0.08 Feedback Correct option Wrong choice Incorrect selection Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 7. Which of the following is correct with regard to the method of least squares used in simple regression analysis ? Answers Option 1 It minimizes the sum of the squared values of the independent variable Option 2 It minimizes the sum of the squared differences between the values of the independent variable and their mean Option 3 It minimizes the sum of the squared differences between the actual values of the dependent variable and the estimated values of the dependent variables as per the regression equation Option 4 It minimizes the sum of the squared values of the dependent variables Feedback Wrong choice Correct option Incorrect selection Wrong choice Solution Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Question 8. If a regression line is represented by Y = 1.5 – 2.0x and the coefficient of determination is 0.49, then the coefficient of correlation is Answers Option 1 -0.70 Option 2 -0.07 Option 3 0.80 Option 4 -0.08 Feedback Correct option Wrong choice Incorrect selection Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 9. If the variance of x and y are 2.56 and 6.25 respectively, and the covariance between them is 3.20 then the coefficient of correlation between x and y is- Answers Option 1 0.80 Option 2 0.50 Option 3 -0.56 Option 4 0.007 Feedback Correct option Wrong choice Incorrect selection Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 10. The standard error of estimate is developed from the variations of the Answers Option 1 observed values of the dependent variable around the fitted regression line Option 2 observed values of the dependent variable around the mean of the observed values of the independent variable Option 3 observed values of the dependent variable around a fixed quantity Option 4 observed values of the independent variable Feedback Correct option Wrong choice Incorrect selection Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Prepared by www.myeconomics.in << Prev Next >> "There is no joy in possession without sharing". Share this page. Whatsapp Telegram Facebook
Multi-choice 6 Question 1. If the regression equation is a perfect estimator of the dependent variable then which of the following is not true ? Answers Option 1 All the data points fall on the regression line Option 2 The coefficient of determination is 1-00 Option 3 The standard error of estimate is zero Option 4 The coefficient of correlation is zero Feedback Wrong choice Incorrect selection Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 2. The extent to which the observed values of the depended variable differ from the predicted values according to the regression line is measured by- Answers Option 1 the slope of the regression line Option 2 the intercept of the regression line Option 3 the coefficient of determination Option 4 the standard error of estimate Feedback Wrong choice Incorrect selection Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 3. If the co-variance between two variables is positive then, the coefficient of correlation between them will be in the range of- Answers Option 1 0 to -1-00 Option 2 0 to -.50 Option 3 0 to 1-00 Option 4 0 to -.25 Feedback Wrong choice Incorrect selection Correct option Wrong choice Solution Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Question 4. The variances of variables, x and y, are 49 and 16 respectively, and the covariance between them is 14. What is the coefficient of correlation between x and y ? Answers Option 1 0.75 Option 2 0.25 Option 3 0.50 Option 4 0.10 Feedback Wrong choice Incorrect selection Correct option Wrong choice Solution Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Question 5. For a simple linear regression equation Σ(y – ŷ)2 = 256 and the standard error of estimate is 4. What is the number of observations ? Answers Option 1 12 Option 2 18 Option 3 21 Option 4 19 Feedback Wrong choice Correct option Incorrect selection Wrong choice Solution Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Question 6. The regression relationship between the variables x and y is given by ŷ = 4 + 5 x and, it explain 64% of the changes in the variable y. What is the coefficient of correlation between x and y ? Answers Option 1 0.80 Option 2 -0.80 Option 3 -0.18 Option 4 -0.08 Feedback Correct option Wrong choice Incorrect selection Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 7. Which of the following is correct with regard to the method of least squares used in simple regression analysis ? Answers Option 1 It minimizes the sum of the squared values of the independent variable Option 2 It minimizes the sum of the squared differences between the values of the independent variable and their mean Option 3 It minimizes the sum of the squared differences between the actual values of the dependent variable and the estimated values of the dependent variables as per the regression equation Option 4 It minimizes the sum of the squared values of the dependent variables Feedback Wrong choice Correct option Incorrect selection Wrong choice Solution Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Question 8. If a regression line is represented by Y = 1.5 – 2.0x and the coefficient of determination is 0.49, then the coefficient of correlation is Answers Option 1 -0.70 Option 2 -0.07 Option 3 0.80 Option 4 -0.08 Feedback Correct option Wrong choice Incorrect selection Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 9. If the variance of x and y are 2.56 and 6.25 respectively, and the covariance between them is 3.20 then the coefficient of correlation between x and y is- Answers Option 1 0.80 Option 2 0.50 Option 3 -0.56 Option 4 0.007 Feedback Correct option Wrong choice Incorrect selection Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 10. The standard error of estimate is developed from the variations of the Answers Option 1 observed values of the dependent variable around the fitted regression line Option 2 observed values of the dependent variable around the mean of the observed values of the independent variable Option 3 observed values of the dependent variable around a fixed quantity Option 4 observed values of the independent variable Feedback Correct option Wrong choice Incorrect selection Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback)
Multi-choice 6 Question 1. If the regression equation is a perfect estimator of the dependent variable then which of the following is not true ? Answers Option 1 All the data points fall on the regression line Option 2 The coefficient of determination is 1-00 Option 3 The standard error of estimate is zero Option 4 The coefficient of correlation is zero Feedback Wrong choice Incorrect selection Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 2. The extent to which the observed values of the depended variable differ from the predicted values according to the regression line is measured by- Answers Option 1 the slope of the regression line Option 2 the intercept of the regression line Option 3 the coefficient of determination Option 4 the standard error of estimate Feedback Wrong choice Incorrect selection Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 3. If the co-variance between two variables is positive then, the coefficient of correlation between them will be in the range of- Answers Option 1 0 to -1-00 Option 2 0 to -.50 Option 3 0 to 1-00 Option 4 0 to -.25 Feedback Wrong choice Incorrect selection Correct option Wrong choice Solution Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Question 4. The variances of variables, x and y, are 49 and 16 respectively, and the covariance between them is 14. What is the coefficient of correlation between x and y ? Answers Option 1 0.75 Option 2 0.25 Option 3 0.50 Option 4 0.10 Feedback Wrong choice Incorrect selection Correct option Wrong choice Solution Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Question 5. For a simple linear regression equation Σ(y – ŷ)2 = 256 and the standard error of estimate is 4. What is the number of observations ? Answers Option 1 12 Option 2 18 Option 3 21 Option 4 19 Feedback Wrong choice Correct option Incorrect selection Wrong choice Solution Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Question 6. The regression relationship between the variables x and y is given by ŷ = 4 + 5 x and, it explain 64% of the changes in the variable y. What is the coefficient of correlation between x and y ? Answers Option 1 0.80 Option 2 -0.80 Option 3 -0.18 Option 4 -0.08 Feedback Correct option Wrong choice Incorrect selection Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 7. Which of the following is correct with regard to the method of least squares used in simple regression analysis ? Answers Option 1 It minimizes the sum of the squared values of the independent variable Option 2 It minimizes the sum of the squared differences between the values of the independent variable and their mean Option 3 It minimizes the sum of the squared differences between the actual values of the dependent variable and the estimated values of the dependent variables as per the regression equation Option 4 It minimizes the sum of the squared values of the dependent variables Feedback Wrong choice Correct option Incorrect selection Wrong choice Solution Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Question 8. If a regression line is represented by Y = 1.5 – 2.0x and the coefficient of determination is 0.49, then the coefficient of correlation is Answers Option 1 -0.70 Option 2 -0.07 Option 3 0.80 Option 4 -0.08 Feedback Correct option Wrong choice Incorrect selection Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 9. If the variance of x and y are 2.56 and 6.25 respectively, and the covariance between them is 3.20 then the coefficient of correlation between x and y is- Answers Option 1 0.80 Option 2 0.50 Option 3 -0.56 Option 4 0.007 Feedback Correct option Wrong choice Incorrect selection Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 10. The standard error of estimate is developed from the variations of the Answers Option 1 observed values of the dependent variable around the fitted regression line Option 2 observed values of the dependent variable around the mean of the observed values of the independent variable Option 3 observed values of the dependent variable around a fixed quantity Option 4 observed values of the independent variable Feedback Correct option Wrong choice Incorrect selection Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback)