Ateacher is assessing the correlation between the number of hours spent studying and the average score on a science 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 science test
(y) 57 62 67 72 77 82 87 92 97

part a: is there any correlation between the number of hours students spent studying and the score on the science test? justify your answer. (4 points)

part b: write a function that best fits the data. (3 points)

part c: what does the slope and y-intercept of the plot indicate? (3 points)