y=0.163x+64.713
Based on your regression equation, what score would you predict for a student who has studied for 1 hour and 40 minutes? Round your answer to a whole number of points.
points
Based on your regression equation, how much time should a "typical" student spend studying if they wanted to score at least 95 points on the exam? Round your answer up to the next full minute.
minutes
For a student who has studied for 1 hour and 40 minutes (100 minutes), we can plug in x = 100 into the equation:
y = 0.163(100) + 64.713
y = 16.3 + 64.713
y = 81
So, the predicted score for a student who has studied for 1 hour and 40 minutes is 81 points.
To find out how much time a "typical" student should spend studying to score at least 95 points, we can rearrange the equation:
95 = 0.163x + 64.713
30.287 = 0.163x
x ≈ 186
Therefore, a student should study for at least 186 minutes (3 hours and 6 minutes) to score at least 95 points on the exam.