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.

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