100 points.
A teacher is assessing the correlation between the number of hours spent studying and the average score on a music test. The table shows the data:


Number of hours spent studying
(x) (0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4)
Score on music test
(y) (60, 62, 64, 66, 68, 70, 72, 74, 76)

Part A: Is there any correlation between the number of hours students spent studying and the score on the music test? Justify your answer.

Part B: Write a function that best fits the data.

Part C: What does the slope and y-intercept of the plot indicate?