A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test. The table below shows the data:
(Table In Image)

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

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

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

yes there is a a correlation

f(x) = 4x + 60

slope = 4

y-intercept = 60

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?