Question

Below is a data set for the scores on a quantum physics midterm exam for five students vs. amount of time spent studying for it

Time Spent Studying (Hours)	Score
0.5	32
1	44
2	63
3.5	79
5	96

1. Find the equation of the best-fit line. You can do this through Excel or calculating by hand (slope and y-intercept).
2. What does the slope physically represent? What does the y-intercept physically represent?
3. Using your equation, if a student spent 4.3 hours studying for this exam, what do you expect the score to be?
4. Calculate the correlation coefficient using the formula for it explicitly. You can also do it by Excel if you'd like, but I want to see it done with the steps worked through.

Answer 1

b) Interpretation of slope :

There will be 1 hours increase in time spend studying then the score will increase by 13.788

Interpretation of y-intercept :

It is the point of contact on y axis. If slope is not equal to zero then y-intercept don't have any practical use. If slope is equal to zero then it has practical importance.

c) If time spend on study = 4.3 hrs then

Score = 29.708 + 13.788 * 4.3 = 88.9964 = 89

d) Correlation Coefficient = 0.9883 PL??