Which of the following is correct in a multiple linear regression? Choose all co

Question

Which of the following is correct in a multiple linear regression? Choose all correct answers. a. The parameter beta_1 indicates the change in the response E(Y) per unit increase in X_1 when all other independent variables are beld constant. b. When the effect of X_1 on the new response depends on the level of X_2, and vice versa, the two predictor variables are said to have additive effects. c. Independent variables are the variables in a regression model that are chosen to describe the response variable. d. Predictor variables refers to the terms in a regression model, i.e., the forms of predictor variables present in a regression model. e. X_1 and X_2 are independent variables in Y = beta_0 + beta_1X_1 + beta_1X_2 + beta_1X_2^2 + error. 17. Which of the followings is correct in a multiple linear regression? Choose all correct answers. a. If the overall f-test rejects the null hypothesis it does not mean that all the predictor variables are needed for significant prediction of the dependent variable. b. The goal of a partial f-test rejects the null hypothesis it does not mean that all the predictor variables are needed for significant prediction of the dependent variable. b. The goal of a partial f-test is to determine which is better between the full model and the reduced insided. c. For k=3, the extra sum of squares given by SSK(X_1|X_2,X_3) is computed by SSM(X_2,X_3) - SSR(X_1,X_2,X_3). d. For k=3, the test statistic for the null hypothesis that the addition of X_1 to a model already containing X_1,X_2 does not significantly improve the prediction of the dependent variable follows an distribution with 1 and n - 4. c. A partial f-test for the variable added-in-order is equivalent to using a two sided f-test. 19. Which of the following is correct in a multiple linear regression? Choose all correct answers. a. Each of d's is t-distributed. b. When the least squares estimates are used in the model, the corrlleation between the observed responses and the corresponding predicted values is the maximum. c. SSE can never because larger with more X variables in the model. d. The adjusted R^2 adjusts R^2 by dividing each sum of squares by is associated degrees of freedom. e. The degrees of freedom of SSE in n= k.

Explanation / Answer

16.

Correct option are : (a), (c) and (d)

17.

Correct option are : (a), (c) and (d)

18.

Correct option are : (a) and (b)

19.

Correct option are : (a) , (c),(d) and (e)

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