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1. What item on the output tells that the resulting equation as a whole is signi

ID: 3320425 • Letter: 1

Question

1. What item on the output tells that the resulting equation as a whole is significant?

a. The P-values of the coefficients

b. The significance of the intercept

c. The R-square

d. The significance of the f-test

2. A pattern of regression residuals that snakes up and down is caused by a problem called

a. Multicollinearity

b. X-variable interaction

c. Autocorrelation

d. Non-constant variance

3. A megaphone-shaped residual pattern is an indication of

a. Non-constant variance

b. Autocorrelation

c. Multicollinearity

d. X-variable interaction

Explanation / Answer

1) If we are trying to find whether the whole multilinear regression equation is significant or not, we are trying to see the significance of all the slope coefficients together and not individually, in that case we use the F test for significance, therefore d) is the correct answer here.

2) The pattern where the residuals first go up and then go down shows the case of autocorrelation between the data values that is as one go down the next will depend on the previous one. Therefore C is the correct answer here.

3) A megaphone or a V shaped residual pattern indicates that the assumption for equal variance of the residuals is not satisfied by the given data. The variable transformations needs to be done in that case. Therefore A is the correct answer here.