The table which correctly shows the residual values for the considered data set is: Third table.
How to find the residual value for a given input output pair?
Suppose the given input output pair be (x,y) (actual data point)
Then suppose the prediction be y' from the line of best fit for that input x.
Then the residual value will be calculated for that point as:
Residual value = Actual value - Predicted value
[tex]Residual = y - y'[/tex]
For this case, we're given:
The line of best fit is:
y = 6.855x + 10.215
The input points are:
x = 1,2,3,4 and 5
The actual output y, and predicted output y' are:
x y y'=6.855x + 10.215
1 14.95 17.07
2 25.50 23.925
3 32 30.78
4 38.95 37.635
5 42.50 44.49
Thus, we get the residual values y - y' as:
x y -y'
1 -2.12
2 1.575
3 1.22
4 1.315
5 -1.99
(approximately).
This matches with the third table.
Thus, the table which correctly shows the residual values for the considered data set is: Third table.
Learn more about residual values here:
https://brainly.com/question/3870996
