Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_uva-simple-linear-regression-795-en_uva-simple-linear-regression-795-en
   name	uva-simple-linear-regression-795-en
   section	Inferential Statistics/Regression/Simple linear regression
   type	schoice
   solution	FALSE, TRUE, FALSE
   Type	Conceptual, Calculation
   Language	English
   Level	Statistical Literacy
   IRT-Difficulty	5.402
   p-value	0.0041

   Question

   Given is the table of correlations for three predictors x₁, x₂ and x₃:

   ——– ——– ——– ——– x₁ x₂ x₃ x₁ - x₂ 0.72 - x₃ 0.01 0.03 - ——– ——– ——– ——–

   The regression equation for the dependent variable y with only x₁ and x₂ is $\hat{y} = 8.75 + 3.51x_{1} + 4.32x_{2}$ Now suppose the model is calculated with x₃ added. Then the coefficient

   
   
   1. FALSE: Of x1 become much smaller and of x2 become much larger.
   2. TRUE: From x1 remain about the same and from x2 also.
   3. FALSE: From x1 remain about the same and from x2 become much smaller.
   
   
   1. From x1 become much smaller and from x2 become much larger…: Incorrect
   2. From x1 remain about the same and from x2 also…: Correct
   3. From x1 remain about the same and for x2 become much smaller…: Incorrect