Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufgb-multiplelinearregression-038-en_vufgb-multiplelinearregression-038-en
   name	vufgb-multiplelinearregression-038-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, for her b-thesis, examines the relationship between secure attachment representation of mothers (HECHT), their depressive symptoms (DEPR) and confidence in their own role as mothers (EFFIC). She has a sample of 30 mothers, and conducted a multiple regression on this dataset. Some of the results are shown in the table below.

   Construct a two-sided test for the regression coefficient of attachment representation of mothers (HECHT), and draw a conclusion.

   

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

   Solution

   Determine the t value and associated df. The $t = \frac{b_{i}}{se} = \frac{0.23}{0.06} = 3.83$. The $df = n-(k+1) = 30-(2+1) = 27$.

   Look in the t table for the critical t value associated with a right-hand overshoot probability of 0.025. Critical $t = 2.025$. The gevonden t is groter dan de kritieke t dus sowieso verwerpen we de nulhypothese dat $b = 0$. Found t is smaller than $t = 3.421$ die hoort bij rechteroverschrijdingskans van .001, dus p-waarde van .002. The p-waarde die hoort bij de gevonden $t = 3.83$ is thus smaller than .002.

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