16. If the data point is at (3, 10.5) and the prediction equation is y = -6.1X +

12.5, what is the value of the residual for this data point?

0

-5.8

30.8

oo

76.55

O

16.3

16.3

Step-by-step explanation:

The residual is equal to the distance between our point and the predicted value.

Our point is (3, 10.5)

The predicted value when x = 3 is:

y(3) = -6.1*3 + 12.5 = -18.3 + 12.5 = -5.8

Now the difference betwen the data point and the predicted value is:

10.5 - (-5.8) = 16.3

So the residual is 16.3

well there are two answers for that.

1: you need 120 ones then that will equal up to 120.

2: you could also do one 100 and 2 tens.

those are the answers that i have thought of.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.