In the least squares equation, = 10 + 20X,the value of 20 indicates ________.
A)the Y-intercept increases by 20 units for each unit increase in X
B)that Y increases by 20 units for each unit increase in X
C)that X increases by 20 units for each unit increase in Y
D)the error in prediction

Question

In the least squares equation,  = 10 + 20X,the value of 20 indicates ________.
A)the Y-intercept increases by 20 units for each unit increase in X 
B)that Y increases by 20 units for each unit increase in X 
C)that X increases by 20 units for each unit increase in Y 
D)the error in prediction

Quizplus · Accepted Answer

The value of 20 indicates that for each unit increase in X, the predicted value of Y increases by 20 units. Therefore, option B is the correct choice. Option A is incorrect because the Y-intercept is already given as 10 and does not change with the increase in X. Option C is incorrect since it is the inverse of the correct relationship. Option D is also incorrect because the value of 20 is not related to the error in prediction.

In the Least Squares Equation, = 10 + 20X,the