Ateacher is assessing the correlation between the number of hours spent studying and the average score on a music test. the table below 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. (4 points) part b: write a function which best fits the data. (3 points) part c: what does the slope and y-intercept of the plot indicate?

The given  data isx, hours:     0  0.5    1    1.5    2    2.5    3    3.5    4y, score: 60    62  64  66  68    70  72    74  76part aa graph of the data shows a good fit to a straight line.answer:   a linear  correlation exists between x and y  because  all the data points fall on a straight line. furthermore, the score (y) increases by 2 for every increase  of 0.5 in x.part blet the relation between x and y bey = mx + cwhen x=0, y=60, therefore c = 60the slope of the straight line ism = (76-60)/(4-0) = 4thereforey = 4x + 60answer: y = 4x + 60part cthe slope is 4, therefore the score on the test increases by 4 for every extra hour of study.the intercept of 60 indicates that a minimum score of 60 is expected from the students who spent no hours studying for the music test.

A’b’c’ are the coordinates to the new location of the transformed triangle abc. find the distance between the coordinates points to use for your calculations.