Okay, here we have this:
Considering the provided equation, we are going to find the requested values, so we obtain the following:
a)
In this case we are asked the expected grade of someone who does not spend time studying, that is x=0, when replacing we have:
y=3.82x+15.72
y=3.82(0)+15.72
y=0+15.72
y=15.72
The predicted midterm score for a student who doesn't spend any time studying is 15.72.
b)
In this case we are asked the expected grade of someone who spends 18 hours studying, that is x=18, when replacing we have:
y=3.82x+15.72
y=3.82(18)+15.72
y=68.76+15.72
y=84.48
The predicted midterm score for a student who spends 18 hours studying is 84.48.
c)
In this case we are asked about the slope of the function, that is, the change in the note for each increment in the unit of time. So let's remember that in a function of the form y=mx+b, the slope is represented by m. It means that the predicted increment is 3.82.