Question

In: Economics

Suppose you run a regression and the Serial Correlation LM Test, has a p-value of 0.0000....

  1. Suppose you run a regression and the Serial Correlation LM Test, has a p-value of 0.0000. How would you interpret the results using an F-test?

Solutions

Expert Solution

An F-test is a type of statistical test that is very flexible. You can use them in a wide variety of settings. F-tests can evaluate multiple model terms simultaneously, which allows them to compare the fits of different linear models. The overall F-test compares the model that you specify to the model with no independent variables.

F-test has two significance hypothesis:-

a- Null hypothesis:- Model with no independent variable.

b- Alternate hypothesis:- Model fits the data better than the intercept-only model

p-value of 0.0000

Interpreting the F-test:-

Compare the p-value for the F-test to your significance level. If the p-value is less than the significance level, your sample data provide sufficient evidence to conclude that your regression model fits the data better than the model with no independent variables. It means that the independent variables in your model improve the fit.


Related Solutions

When using the LM test for serial correlation, what is the null hypothesis? Select one: a....
When using the LM test for serial correlation, what is the null hypothesis? Select one: a. No serial correlation is present. b. It depends on the model specification. c. Statistically significant serial correlation with the first lag. d. Statistically significant serial correlation with unspecified lag.
Suppose you are testing a regression model for the presence of heteroskedasticity and the p-value is...
Suppose you are testing a regression model for the presence of heteroskedasticity and the p-value is 0.00. Provide the null and alternative hypotheses, the rejection rule and interpret the result. Suppose you are testing for serial correlation and using the Serial Correlation LM text where the p-value is 0.8415. Provide the null and alternative hypotheses, the rejection rule and interpret the result.
1) In a multivariable regression, the p-value for the test on the coefficient of a variable...
1) In a multivariable regression, the p-value for the test on the coefficient of a variable is equal to 0.0102. What does this tell us about the coefficient of that variable? A) It is statistically different from 0 at 1% significance level B) None of these are correct C) It is statistically equal to 0 at 5% significance level D) It is statistically different from 0 at 10% significance level 2) Which of the following is correct? A) With Perfect...
Use Statistical Tables to test for serial correlation given the following Durbin-Watson d statistics for serial...
Use Statistical Tables to test for serial correlation given the following Durbin-Watson d statistics for serial correlation. Draw a picture for hypothesis testing. State your hypothesis. i. d=0.62, K=2, N=21, 5-percent, one-sided positive test ii. d=3.89, K=3 N=18, 5-percent, one-sided positive test iii. d=1.31, K=4, N=36, 5-percent, one-sided positive test
Use Statistical Tables to test for serial correlation given the following Durbin-Watson d statistics for serial...
Use Statistical Tables to test for serial correlation given the following Durbin-Watson d statistics for serial correlation. Draw a picture for hypothesis testing. State your hypothesis. d=0.62, K=2, N=21, 5-percent, one-sided positive test d=3.89, K=3 N=18, 5-percent, one-sided positive test d=1.31, K=4, N=36, 5-percent, one-sided positive test d=1.19, K=2, N=85, 5-percent, one-sided positive test d=1.29, K=4, N=23, 5-percent, one-sided positive test
What do you put into STATA to test residuals for positive first order serial correlation?
What do you put into STATA to test residuals for positive first order serial correlation?
Discuss the t test and p value as a means of determining importance of regression parameters.
Discuss the t test and p value as a means of determining importance of regression parameters.
Regression/Correlation differs from ANOVA and t-test in what way?  
Regression/Correlation differs from ANOVA and t-test in what way?  
(3) Suppose that you run a regression of wage on a set of independent variables: age,...
(3) Suppose that you run a regression of wage on a set of independent variables: age, years of education, experience, and a dummy variable married. There are 100 observations, i.e., n=100. You want to test whether all the coefficient and intercept estimates in the equation for married and unmarried are equal to each other. i.e., Married: wage = β0 + β1*age + β2*educ + β3*exper + uUnmarried: wage = α0 + α1*age + α2*educ + α3*exper + v (a) Write...
Biostatistics with R - Solve the following by evaluating the test statistic and p value. Suppose...
Biostatistics with R - Solve the following by evaluating the test statistic and p value. Suppose that the population mean of systolic blood pressure in the US is 115. We hypothesize mean systolic blood pressure is lower than 115 among people who consume a small amount (e.g., around 3.5 ounces) of dark chocolate every day. Assume that systolic blood pressure, X, in this population has a Normal distribution. To evaluate our hypothesis, we randomly selected 100 people, who include a...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT