Question

13. Interpreting the intercept in a simple linear regression model is: * (A) reasonable if the...

13. Interpreting the intercept in a simple linear regression model is: *

(A) reasonable if the sample contains values of x around the origin.

(B) not reasonable because researchers are interested in the effect of a change in x on the change in y.

(C) reasonable if the intercept’s p-value is less than 0.05.

(D) not reasonable because it is always meaningless.

14. Which of the following is NOT one of the assumptions necessary for simple linear regressions?: *

(A) heteroscedasticity

(B) linear relationship

(C) independence of operations

(D) no significant outliers

15. The simple linear regression line: *

(A) will always have a slope larger in than the intercept (in absolute value).

(B) will always have a slope smaller than the intercept (in absolute value).

(C) cannot have a slope of 0.

(D) will always pass through the point ( x, y ).

Homework Answers

Answer #1

Solution:

13. Interpreting the intercept in a simple linear regression model is: *

Answer: (A) reasonable if the sample contains values of x around the origin.

Explanation: The intercept of the simple linear regression is not reasonable when the value of the independent variable can not be zero. Therefore, the intercept becomes reasonable only if the sample contains values of x around the origin

14. Which of the following is NOT one of the assumptions necessary for simple linear regressions?

Answer: (A) heteroscedasticity

Answer: Heteroscedasticity is a term that is associated with unequal variances and this is not the assumption of simple linear regression.

15. The simple linear regression line:

Answer: (D) will always pass through the point ( x, y )

Explanation: The simple linear regression is a straight line and it always passes through the point

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