Question

Answer True or False. When we add an X3 variable to a model that previously included...

Answer True or False. When we add an X3 variable to a model that previously included only a single X variable (i.e., what we called the Simple Regression Model in Chapters 1 and 2), the Total Sum of Squares will decrease.

Answer True or False. When we add an X3 variable to a model that previously included only a single X variable (i.e., what we called the Simple Regression Model in Chapters 1 and 2), the Total Sum of Squares will increase.

Answer True or False. When we add an X3 variable to a model that previously included only a single X variable (i.e., what we called the Simple Regression Model in Chapters 1 and 2), the Residual Sum of Squares will decrease, unless the true (i.e. population) value of beta3 is zero.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

False. As Total Sum of Squares will not change as it is not depend on variable addition.

False. As Total Sum of Squares will not change as it is not depend on variable addition.

True : When we add an X3 variable to a model that previously included only a single X variable (i.e., what we called the Simple Regression Model in Chapters 1 and 2), the Residual Sum of Squares will decrease, unless the true (i.e. population) value of beta3 is zero.

Please revert in case of any doubt.

Please upvote. Thanks in advance

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Answer true or false: When we add an X3 variable to a model that previously included...
Answer true or false: When we add an X3 variable to a model that previously included only a single X variable (i.e. what we called the Simple Regression model in chapter 1 and 2), the R-Squared can increase, decrease, or remain the same as the value from the single-X model.
1. If we add k indicator variables to a regression model for a categorical variable with...
1. If we add k indicator variables to a regression model for a categorical variable with k levels, the regression tool will return one coefficient estimate of 0.00 because: a. The k variables are not independent b. The k variables are independent 2. If we add up to 3rd order polynomial terms to a regression model (e.g., x, x^2 and x^3) it will allow the relationship between X and Y to change direction 3 times. a. True b. False 3....
True or False: Please specify your reasons. (i) If an independent variable in a multiple linear...
True or False: Please specify your reasons. (i) If an independent variable in a multiple linear regression model is an exact linear combination of other independent variables, we can still calculate the least square estimators of the intercept. (ii) For the multiple linear regression y = β0 + β1x + β2x 2 + u, β1 can be interpreted as the effect of one unit increase in x on y. (iii) In the multiple linear regression with an intercept, (the sum...
True or False: 1) A crucial assumption of the linear model is that the sum of...
True or False: 1) A crucial assumption of the linear model is that the sum of the residuals is 0 2)In the simple linear regression model if the R^2 is equal to one, then the linear relationship between the variable is exact and residuals are all zero
Answer true or false: The fact that the sum of our fitted residuals is zero, when...
Answer true or false: The fact that the sum of our fitted residuals is zero, when we estimate a model with Ordinary Least Squares, depends on the model including an intercept. Answer true or false: Contrary to the statement above, the reason that the fitted residuals sum to zero is because of the statistical property that the expected value of an unobserved disturbance term (u) is zero; this means that the u's in our model sum to zero, so the...
QUESTION 30 True or False: We can include a categorical variable (such as region) in a...
QUESTION 30 True or False: We can include a categorical variable (such as region) in a multivariate model in the same way we include a continuous variable. True False 2.5 points    QUESTION 31 True or False: We fail to reject the null hypothesis if the test statistic is greater than the critical value. True False 2.5 points    QUESTION 32 True or False: We necessarily do not have an omitted variable bias problem the omitted variable is uncorrelated with...
True or False. Explain your answer: d) Least squares estimates of the regression coefficients b0, b1,...
True or False. Explain your answer: d) Least squares estimates of the regression coefficients b0, b1, . . . bn are chosen to maximize R2 . e) If all the explanatory variables are uncorrelated, the variance inflation factor (VIF) for each explanatory variable will be 1. ) b0 and b1 from a simple linear regression model are independent.
In regression analysis, the total variation in the dependent variable, measured by the total sum of...
In regression analysis, the total variation in the dependent variable, measured by the total sum of squares (SST), can be decomposed into two parts: the amount of variation that can be explained by the regression model, and the remaining unexplained variation. True False In employing the randomised block design of ANOVA, the primary interest lies in reducing the within-treatments variation in order to make easier to detect differences between the treatment means. True False If we reject the null hypothesis,...
In any regression model, p denotes the number of explanatory variables in the model. In simple...
In any regression model, p denotes the number of explanatory variables in the model. In simple linear regression (SLR), p=1. True/False? When testing whether the slope of a explanatory variable is 0 or not in context of multiple regression, what distribution is used to determine the p-value? standard normal distribution / t distribution with n−1 degrees of freedom / t distribution with n−2 degrees of freedom / t distribution with n−p−1 degrees of freedom ? In multiple regression, there is...
True or False: Given a regression equation of y ̂= 16 + 2.3x we would expect...
True or False: Given a regression equation of y ̂= 16 + 2.3x we would expect that an increase in x of 2.0 would lead to an average increase of y of 4.6. True or False Given a sample of data for use in simple linear regression, the values for the slope and the intercept are chosen to minimize the sum of squared errors.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT