<h3>
Answer: A) -0.83</h3>
Without the actual numeric data coordinates, it is impossible to compute the true r value. Though we can estimate. The data points are negatively correlated in a fairly strong manner. We can draw a straight line close to all of these points, so the r value is going to be fairly close to -1. The closer r is to -1, the stronger the negative correlation. Having r = -1 exactly means all of the points fall on some single straight line that slopes downward.
Choice B is the next best choice, but its correlation isn't as strong. So that's why I ruled it out. Choices C and D are ruled out immediately since they are positive values.
To solve for x, you undo what was done to x. The variable x is ...
- multiplied by y
- added to z
You "undo" these operations in the reverse order, so first we undo the addition of z. We accomplish that by adding the opposite of z:
... -10 -z = xy
Now, we undo the multiplication by y. We accomplish that by multipying by the reciprocal of y.
... (-10 -z)/y = x
We can rearrange this, if you like.
And, if you want, you can factor out the minus sign.
Answer:
-12.8
Hope this helps! :)
13 =x=21.03 14=x=64.335 15=39.678