Question

x
(Number of Hours Studying) y
(Exam Score)
8 90
9 95
5 83
4 82
2 76
0 72
A student’s score on exams has a direct relationship with the number of hours studied. The line of best fit for these data is y=71.5+2.46x
. Using the equation for the line of best fit, find the score that correlates to 5 hours of studying. Also, state whether the line of best fit is underestimating or overestimating the value.(1 point)
Responses

83 and underestimating
83 and underestimating

83.8 and overestimating
83.8 and overestimating

83.8 and underestimating
83.8 and underestimating

83 and overestimating

Answer 1

Predicted score = 71.5 + 2.46(5) = 71.5 + 12.3 = 83.8.
Since the actual score at 5 hours is 83, the line predicts a higher value, so it is overestimating.

Answer: 83.8 and overestimating.