PLEASE ANSWER THIS MY BRAIN IS EXPLODING SAVE ME FROM THESE MATH PROBLEMS!!! (1)
This table shows the minutes students spent studying for their math exam and the scores they received.
Study time (min) 15 10 30 12 17 43 61 20 8 25 31 40
Exam score 80 78 92 72 75 85 99 83 68 88 86 90

Use a graphing calculator to model the data using a linear function.

What is the correlation coefficient of the data?

−0.75
−0.40
0.49
0.87

2)
A group of people tried joining a gym to see if it would help them to lose weight. This table shows the relationship between the number of weeks since each person joined the gym and the number of pounds they have lost.
Weeks 10 8 6 2 1 5 9 8
Pounds Lost (lb) 4 2.5 0 1 0.5 3 3.5 1.5

Which function best models the data?

y = 0.31x + 0.12
y=−0.43x+2.5
y=−1.5x+5.5
y=0.75x−3.5

(3)
What is the strength of the association between the two variables in the scatter plot?
The strength of association is?
A. Weak
B. Strong

0.49

Step-by-step explanation:

This is what I would put. If my work isn't correct I am so sorry.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1