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In regression analysis, the existence of a significant pattern in successive values of the error term constitutes:
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- In regression analysis, a common metric used in assessing the quality of the model being used to fit the data is known as the R-squared coefficient. Explain the R-squared coefficient. What is the difference between the R-squared and adjusted R-squared coefficients?The standard deviation of the error terms in an estimated regression equation is known as:Suppose you run a regression y=alpha + beta*x + u. You know that the estimated coefficient is 2.94 and the standard error is 1.09. What is the value of t-statistic for your estimated coefficient beta?
- When the R2 of a regression equation is very high, it indicates that all the coefficients are statistically significant. the intercept term has no economic meaning. a high proportion of the variation in the dependent variable can be accounted for by the variation in the independent variables. there is a good chance of serial correlation and so the equation must be discarded.q12- Which method is NOT one of the remedial measures for the linear regression with an autocorrelated error term? Select one: a. Generalized least-squares estimation b. FDL model c. correlogram d. ARDL modelNo written by hand solution Consider the following data: x⎯⎯x¯ = 20, sx = 2, y⎯⎯y¯ = −5, sy = 4, and b1 = 0.40. Which of the following is the sample regression equation? Multiple Choice yˆ = −13 − 0.40x yˆ= −13 + 0.40x yˆ = 3 − 0.40x yˆ = 3 + 0.40x
- An OLS regression should be used when the independent variable is nominal. A. True B. FalseUsing the regression results in column (1):a. Is the college–high school earnings difference estimated from thisregression statistically significant at the 5% level? Construct a 95%confidence interval of the difference.b. Is the male–female earnings difference estimated from this regressionstatistically significant at the 5% level? Construct a 95% confidenceinterval for the difference.All the regression assumptions lie on the residuals, for both simple and multiple regression. True or False?
- The regression coefficients are affected by the change of _____. Select one: a. only scale b. only origin c. both origin and scale d. none of the above1.In econometrics, a sample is Select one: a. the entire group of entities that we are interested in learning about. b. only one observation drawn from the population. c. a subset or part of the population and it is what is used to perform statistical inference. d. the primary thing that econometricians are interested in. 2. The estimated sample regression function is determined by Select one: a. minimizing the sum of squared residuals. b. minimizing the least absolute deviations from the mean. c. minimizing the total deviations from the mean. d. maximizing the sum of squared residuals. 3. Econometrics is Select one: a. the science of collection, organization, analysis, and interpretation of data. b. the use of summary statistics. c. the application of statistical techniques to economic data. d. the study of how people chose to use scarce resources. 4. Simple linear regression analysis determines Select one: a. the true value of the population slope coefficient. b.…The estimated regression models having a different number of explanatory variables are compared on the basis of _____. Select one: a. Chi squared -statistic b. Adjusted R squared-statistic c. R squared-statistic d. None of the above