THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor of statistics is interested in studying the relationship between the number of hours graduate students spent studying for his comprehensive final exam and the exam score.The results of the regression analysis of hours studied on exam scores are presented below.
-Which of the following is true of the least squares equation, = 20 + 5x?
A)The y-intercept of the least squares line is 5.
B)For each unit increase in x,the value of y approximately increases by 5.
C)For each unit increase in y,the value of x approximately increases by 20.
D)For each unit increase in y,the value of x approximately increases by 25.

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor of statistics is interested in studying the relationship between the number of hours graduate students spent studying for his comprehensive final exam and the exam score.The results of the regression analysis of hours studied on exam scores are presented below. 
-Which of the following is true of the least squares equation,  = 20 + 5x?
A)The y-intercept of the least squares line is 5. 
B)For each unit increase in x,the value of y approximately increases by 5. 
C)For each unit increase in y,the value of x approximately increases by 20. 
D)For each unit increase in y,the value of x approximately increases by 25.

Quizplus · Accepted Answer

The equation is in the form y = b + mx, where b is the y-intercept and m is the slope. Therefore, the y-intercept of the least squares line is 20, and for each unit increase in x, the value of y approximately increases by 5. Option C and D are not correct interpretations of the equation.