In a certain statistics class the past data has indicated that there is a positi
ID: 2909538 • Letter: I
Question
In a certain statistics class the past data has indicated that there is a positive, linear relationship between a student's midterm exam score and their subsequent final exam score. The LSR model for this relationship is given by:
final score = 58 + 0.42*(midterm score)
From the choices below, the best interpretation of the intercept is:
A) If the final exam score is a 0, the expected midterm score would be -138
B) A student who scored a 0 on the midterm is expected to score a 58 on the final
C) A student who scored a 0 on the final is expected to score a 58 on the midterm
D) For every additional 1-point increase in a student's final exam score, the corresponding midterm score increases by 0.42 points
E) For every additional 1-point increase in a student's midterm score, the corresponding final exam score increases by 0.42 points
F) If the final exam score is a 0, the expected midterm score would be 138
Explanation / Answer
The LSR model for this relationship is given by:
final score = 58 + 0.42*(midterm score)
That is intercept = 58 and slope = 0.42
For interpretation of the intercept we have to put the coefficient of the slope (midterm score) equals to 0.
That is if the midterm score= 0 then we get Final Score= 58 Hence
B) A student who scored a 0 on the midterm is expected to score a 58 on the final
is the correct answer.
Hope this will help you. :)