The researcher runs an OLS regression with five regressors and a constanton a sample of 453 observations. The value of R² for this regression is0.4871. Subsequently she imposes two restrictions on the coefficientsand runs a corresponding restricted regression. The value of R² isnow 0.4703. Assuming that errors are homoskedastic, compute the Fstatistic for the test of joint validity of the two restrictions. Is the nullhypothesis rejected? Based on your conclusion, are the two restrictionsjointly valid?

Solution: From the given information, sample size is 453, the number of regressors is 5, the value…

Answered: The researcher runs an OLS regression…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

In running a regression of the retunrs of stock XYZ against the returns on the market, the Std for the returns of stock XYZ is 20% and that of the market returns is 15%. If the estimated beta is found to be 0.75 : What is the maximum possible value of beta given that the standar deivation of the returns of stock XYZ is 20% and those of the market is 15% ?
Using 25 observations on each variable, a computer program generated the following multiple regression model: yhat=69.2+2.87x1+5.81x21.83x3 If the standard errors of the coefficients of the independent variables are, respectively, 1.34, 4.84, and 0.70, can you conclude that the independent variable x1 is needed in the regression model? Let β1, β2, and β3 denote the coefficients of the 3 variables in this model, and use a two-sided hypothesis test and significance level of 0.05 to determine your answer. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least two decimal places.) The two critical values at the 0.05 level of significance:(Round to at least two decimal places.) and Can you…
In a regression based on 30 annual observations, U.S. farm income was related to four independent variables—grain exports, federal government subsidies, population, and a dummy variable for bad weather years. The model was fitted by least squares, resulting in a Durbin-Watson statistic of 1.29. The regression of e2i on ŷi yielded a coefficient of determination of 0.043.a. Test for heteroscedasticity.b. Test for autocorrelated errors.
Suppose that a regression was run with three independent variables and 30 observations. The DurbinWatson statistic was 0.50. Test the hypothesis that there was no autocorrelation. Compute an estimate of the autocorrelation coefficient if the evidence indicates that there was autocorrelation. a. Repeat with the Durbin-Watson statistic equal to 0.80. b. Repeat with the Durbin-Watson statistic equal to 1.10. c. Repeat with the Durbin-Watson statistic equal to 1.25. d. Repeat with the Durbin-Watson statistic equal to 1.70.
The y-interept bo of a least-squares regression line has a useful interpretation only if the x-values are either all positive or all negative. Determine if the statement is true or false. Why? If the statement is false, rewrite as a true statement.
Suppose that a regression was run with two independent variables and 28 observations. The Durbin-Watson statistic was 0.50. Test the hypothesis that there was no autocorrelation. Compute an estimate of the autocorrelation coefficient if the evidence indicates that there was autocorrelation. a. Repeat with the Durbin-Watson statistic equal to 0.80. b. Repeat with the Durbin-Watson statistic equal to 1.10. c. Repeat with the Durbin-Watson statistic equal to 1.25. d. Repeat with the Durbin-Watson statistic equal to 1.70.
In a random sample of 235 registered voters, 191 said they planned on voting in the next presidential election. Test the claim that more than 75% of registered voters plan on voting. Use a 0.01 level of significance. Find the P-value for a right tailed test that produces a test statistic of z = 1.945. What does rejection of H0: ρ = 0 imply for the regression equation yˆ=b0+b1xy^=b0+b1x? Explain in 1 – 2 complete sentences.
Given the residuals squared derived from the regression: Marks = ƒ(Study hours) Use the information from the following auxiliary regression (table attached) to conduct the Park test to detect for the presence of heteroscedasticity at a = 5%.
Consider a regression analysis with n = 47 and three potential independent variables. Suppose that one of the independent variables has a correlation of 0.95 with the dependent variable. Does this imply that this independent variable will have a very large Student’s t statistic in the regression analysis with all three predictor variables?
An econometrician suspects that the residuals of her model might be autocorrelated. Explain the steps involved in testing this theory using the Durbin–Watson (DW) test
The least-squares regression line relating two statistical variables is given as = 24 + 5x. Compute the residual if the actual (observed) value for y is 38 when x is 2. 4 38 2
Years of Work Experience and number of Job Offers of 10 job-seekers were as follows: Work Exp. 4 2 5 3 7 12 2 5 4 9 No. of Offers 7 1 8 4 13 19 3 11 9 15 a. Fit the regression equation of No. of Job Offers on Years of Work Experience. b. What will be the predicted number of offers for an applicant with 6 years of experience? c. Verify the relationship between the number of job offers and years of work experience using at least two relevant methods

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS