Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufgb-simplelinearregression-003-en_vufgb-simplelinearregression-003-en
   name	vufgb-simplelinearregression-003-en
   section	Inferential Statistics/Regression/Simple linear regression
   type	schoice
   solution	FALSE, FALSE, FALSE, TRUE
   Type	Conceptual, Interpreting output
   Program
   Language	English
   Level	Statistical Literacy

   Question

   The linear relationship between two quantitative variables is investigated by using a simple linear regression analysis in a sample of 30 persons. The researcher wants to use an $\alpha$ level of 0.01.

   Which critical t-value fits the two-sided test for the linear relationship?

   
   
   1. FALSE: 2.457
   2. FALSE: 2.467
   3. FALSE: 2.750
   4. TRUE: 2.763
   
   

   Solution

   In the simple regression model two parameters are estimated: intercept and regression coefficient. Therefore $df = n-2$. In this case $df = 30-2 = 28$. For a two-sided test with an $\alpha$-level of 0.01, fits a right-sided exceedance probability of: $\frac{0.01}{2} = 0.005$. The t-table shows the corresponding value at $df = 28$ and $t._{005}$.

   This value is 2.763.

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