Which statement about the OLS regression assumptions is TRUE?
A. Standardized residuals are all less than 3
B. No heterogeneity in the residual variance
C. All the coefficients are statistically significant
D. Independent variable is normally distributed
The true assumption for OLS regression is:
No heterogeneity in the residual variable.
Option B is correct.
Which statement about the OLS regression assumptions is TRUE? A. Standardized residuals are all less than...
Which of the following is a true statement about residuals? Choose the correct answer below. 0 A. The regression line is the line that minimizes the standard deviation of the residuals. O B. The residual plot for a model that a good fit to the data should not show any pattern or have any unusual features. O C. A residual is the difference between the actual data value and the value predicted by the model 0 D. All of the...
What are the four primary assumptions of multiple linear regression (check all that apply)? Select one or more: a. Linear relationships between predictors and outcome b. Residuals are normally distributed with a mean of zero. c. There is constant variance of residuals d. The residuals are independent e. The predictors are normally distributed.
1. If OLS estimators satisfy asymptotic normality, it implies that a. they are approximately normally distributed b. they are approximately normally distributed in samples with less than 10 observations large enough sample sizes c. they have a constant mean equal to zero and variance equal to d. they have a constant mean equal to one and variance equal to o 2 In a multiple regression model, the OLS estimator is consistent if a. there is no correlation between the dependent...
QUESTION 1 If a t-test is performed in the context of a multiple regression model and the null hypothesis cannot be rejected, this means that A. the independent variable for which the test has been performed has a significant relationship with the dependent variable. B. the independent variable for which the test has been performed has no significant relationship with the dependent variable. C. all independent variables have a significant relationship with the dependent variable. D. no independent variable has...
3. Model assumptions Aa Aa E In a multiple regression model with p independent variables, that is, y-Po + β*1 + assumptions + ßpXp + t, you have the following Assumption 1: The error term ε is a random variable with a mean of zero, that is, E(E)-0 for all values of the independent variables x. Assumption 2: The variance of , denoted by ơ2, is the same for all values of the independent variables xi, X2, , Xp Assumption...
c) Which theorem gives th (a) State the OLS assumptions in a simple linear regression model. (3) b] How do you modify the OLS assumptions if you have a control variable? (2) (c) Discuss the problem of omitted variable bias. (5)
(4 points) Residuals vs fitted plots can be used to assess whether the four key assumptions for a simple linear regression have been met. Each of the plots below displays an instance where at least one of these assumptions may not have been met. For each plot, identify which assumption has been most violated, if any. 1. Plot A shows that A. The relationship between x and y cannot be assumed to be linear. B. The residuals do not appear...
Which of the following are assumptions for the linear regression model? CHECK THAT ALL MAY APPLY!!! Select one or more: a. Regression function (i.e., equation) is linear. b. Error terms are normally distributed. c. Error terms are independent. d. Error terms have constant variance. e. Regression model fits all observations (i.e., no outliers).
1.The Breusch-Pagan test for heteroskedasticity A. tests for a relationship between the estimated residuals and the independent variables B. tests for a relationship between the squared estimated residuals and the independent variables C. tests for a relationship between the estimated residuals and the dependent variable D. tests for a relationship between the squared estimated residuals and the dependent variable 2. In the presence of heteroskedasticity hypothesis testing is unreliable (T/F) 3. Plotting the residuals (predicted errors) against the independent variables...
Which statement is equivalent to a statistically significant independent t-test? Select all that are true. Retain the null hypothesis. The p-value is less than .05. The 95% confidence interval for the difference of means does not contain 0. Alpha is greater than .05.