In a certain statistics class the past data has indicated that there is a positi
ID: 3222601 • 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 test score and their subsequent final test score. The LSR model for this relationship is given by: final score = 60 + 0.4*(midterm score)
From the choices below, the best interpretation of the intercept is:
A. A student who scored a 0 on the midterm is expected to score a 60 on the final
B. For every additional 1-point increase in a student's midterm score, the corresponding final test score increases by 0.4 points
C. If the final test score is a 0, the expected midterm score would be -150
D.A student who scored a 0 on the final is expected to score a 60 on the midterm
E. If the final yes score is a 0, the expected midterm score would be 150
F. For every additional 1-point increase in a student's final test score, the corresponding midterm score increases by 0.4 points
Explanation / Answer
final score = 60 + 0.4*(midterm score)
The above statement means that for every 1 mark increase in the midterm score, there would be a 0.4 increase in the final score. The magnitude of the slope that is 0.4 represents the amount of increase in the final score that is the dependent variable and the positive sign indicates that when the mid term score increases, the final score also increases.
Therefore B is the correct answer.