Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufgb-multiplelinearregression-009-en_vufgb-multiplelinearregression-009-en
   name	vufgb-multiplelinearregression-009-en
   section	Inferential Statistics/Regression/Multiple linear regression
   type	schoice
   solution	FALSE, TRUE, FALSE, FALSE
   Type	Performing analysis
   Program
   Language	English
   Level	Statistical Reasoning

   Question

   A student investigates the relationship between secure attachment representation of mothers (Secure), their depressive complaints (depr) and the confidence in their own role as a mother (effic).

   The student has a sample of 30 mothers, and ran a multiple regression on this sample. A part of the results is in the table underneath. Carry out a two-sided test for the regression coefficient of the attachment representation of mothers (Secure), and draw a conclusion.

   

   
   
   1. FALSE: $t = 3.83, \; df = 28, \; p < .002$; de regression coefficient deviates significantly from 0
   2. TRUE: $t = 3.83, \; df = 27, \; p < .002$; de regression coefficient deviates significantly from 0
   3. FALSE: $t = 3.83, \; df = 28, \; .002 < p < .05$; de regression coefficient deviates significantly from 0
   4. FALSE: $t = 3.83, \; df = 27, \; .002 < p < .05$; de regression coefficient deviates significantly from 0
   
   

   Solution

   Determine the t-value of the corresponding df. The $t = \frac{bi}{se} = \frac{0.23}{0.06} = 3.83$. The $df = n-(k+1) = 30-(2+1) = 27$. Look in the t-table at the critical t-value that corresponds with the right-sided exceedance probability of 0.025. Critical $t = 2.025$. De found t is bigger than the critical t so we reject the nul hypothesis ($b = 0$). The found t is smaller than $t = 3.421$, which corresponds with the right-sided exceedance probability of .001 (the p-value of .002). So, the p-value belonging to the found $t = 3.83$ is smaller than .002.

   
   
   1. Incorrect
   2. Correct
   3. Incorrect
   4. Incorrect