Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufsw-simplelinearregression-0274-en_vufsw-simplelinearregression-0274-en
   name	vufsw-simplelinearregression-0274-en
   section	inferential statistics/regression/simple linear regression
   type	schoice
   solution	FALSE, FALSE, TRUE, FALSE
   Type	conceptual
   Program	NA
   Language	English
   Level	statistical literacy

   Question

   Which theorem(s) is/are correct about the regression equation Y = b₀ + b₁X?

   I. Y actually represents the predicted value by the regression.
   II. b₀ is the mean value of Y when X equals 0

   
   
   1. FALSE: Theorem I. is correct and theorem II. is not correct
   2. FALSE: Theorem I. is not correct and Theorem II. is correct
   3. TRUE: Both statements are correct
   4. FALSE: Both statements are not correct
   
   

   Solution

   Theorem I is correct because the regression equation predicts values of Y predicted by means of the regression line a + b₁X.
   Theorem II is also correct because if you replace X with 0 then the equation Y=b₀. This means that the pre-measured value of Y (or alternatively, the average Y) is equal to the constant.

   
   
   1. False
   2. False
   3. True
   4. False