Question

Is the normality hypothesis (that the errors follow normal distribution) really necessary in a linear regression...

Is the normality hypothesis (that the errors follow normal distribution) really necessary in a linear regression model with estimation by ordinary least squares?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In the multiple linear regression model with estimation by ordinary least squares, is it really necessary...
In the multiple linear regression model with estimation by ordinary least squares, is it really necessary to perform the normality analysis of the residues? What if the errors are not normal? How to proceed with the tests if the errors have a t-Student distribution with 5 degrees of freedom? (Do not confuse model errors with waste!)
In the multiple linear regression model with estimation by ordinary least squares, why should we make...
In the multiple linear regression model with estimation by ordinary least squares, why should we make an analysis of the scatter plot between each covariable xij, j = 1, 2,. . . ,p with the residues ei?
Consider the simple linear regression model for which the population regression equation can be written in...
Consider the simple linear regression model for which the population regression equation can be written in conventional notation as: yi= Beta1(xi)+ Beta2(xi)(zi)2+ui Derive the Ordinary Least Squares estimator (OLS) of beta i.e(BETA)
True or False? Show Proof. - Based on the normality assumption of ? ?? ? =...
True or False? Show Proof. - Based on the normality assumption of ? ?? ? = ? ∗ ? + ? , ? has a Chi-Square distribution. -If the assumptions in Classical Normal Linear Regression Model are true, for a model such as ? = ? + ? ? + ? , we use chi-square test to test hypothesis related to the parameters (?1, ?2), and t test to test hypothesis related to the variance of error (?2). - For...
True or False? State with reason. Based on the normality assumption of ? ?? ? =...
True or False? State with reason. Based on the normality assumption of ? ?? ? = ? ∗ ? + ? , ? has a Chi-Square distribution. For a model such as ? = ? + ? ? + ? , because the mean and individual predictions are all ? = ? + ? ? , the mean and individual predictions are the same. If the assumptions in Classical Normal Linear Regression Model are true, for a model such as...
Multiple Linear Regression We consider the misspecification problem in multiple linear regression. Suppose that the following...
Multiple Linear Regression We consider the misspecification problem in multiple linear regression. Suppose that the following model is adopted y = X1β1 + ε while the true model is y = X1β1 + X2β2 + ε. For both models, we assume E(ε) = 0 and V (ε) = σ^2I. Figure out conditions under which the least squares estimate we obtained is unbiased.
Showing that residuals, , from the least squares fit of the simple linear regression model sum...
Showing that residuals, , from the least squares fit of the simple linear regression model sum to zero
What are the pitfalls of simple linear regression? True or False for each Lacking an awareness...
What are the pitfalls of simple linear regression? True or False for each Lacking an awareness of the assumptions of least squares regression. Not knowing how to evaluate the assumptions of least squares regressions. Not knowing the alternatives to least squares regression if a particular assumption is violated. Using a regression model without knowledge of the subject matter. Extrapolating outside the relevant range of the X and Y variables. Concluding that a significant relationship identified always reflects a cause-and-effect relationship.
In linear regression, the independent variable is called the a. Response Variable b. The explanatory variable...
In linear regression, the independent variable is called the a. Response Variable b. The explanatory variable c. The extrapolted variable d. an outlier A graph that will help to one to see what type of curve might best fit the bivariate data a. Pie chart b. stem-leaf plot c. dot plot d. scatter plot The technique of extending a regression line beyond the region of the actual data a. Least Squares Regression b. Variability c. Extrapolation d. Residual analysis The...
A linear regression of a variable Y against the explanatory variables X1 and X2 produced the...
A linear regression of a variable Y against the explanatory variables X1 and X2 produced the following estimation model: Y = 1615.495 + 9.957 X1 + 0.081 X2 + e (527.96) (6.32) (0.024) The number in parentheses are the standard errors of each coefficients i. State the null and alternative hypothesis for the coefficients Select the appropriate test, compute the test statistic based on the information above, and test the null hypothesis for each coefficient by using a level of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT