Find the correlation coefficient of the line of best fit for the points (-3,-40), (1,12), (5,72), (7,137). explain how you guy your answer. use the coefficient to describe the correlation of this data.

r = 0.9825; good correlation.

Step-by-step explanation:

One formula for the correlation coefficient is  

The calculation is not difficult, but it is tedious.

1. Calculate the intermediate numbers

We can display them in a table.

      x      y    xy   x²       y²  

      -3   -40    120     9     1600

       1      12      12      1        144

       5    72   360   25      5184

       7   137   959   49    18769

Σ = 10   181  1451   84   25697

2. Calculate the correlation coefficient

The closer the value of r is to +1 or -1, the better the correlation is. The values of x and y are highly correlated.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!