Answer:
6.33
Step-by-step explanation:
Here, we are asked to give a residual value at x = 3
This mean we are to predict the value of y at the point x= 3
To do this, what we need to do is to input the value x = 3 into the line of best fit equation.
The line of best fit equation according to the question is;
y=0.331986x+5.33286
Substituting x here, we have
y = 0.331986(3) + 5.33286
y = 0.995958 + 5.33286 = 6.328818
Question asks to give answer to the nearest hundredth and that is 6.33
R = 9 in the equation r(6) = 54. You would divide by 6 on both sides to have r by itself giving you r = 9
Using the triangular inequality (and the given hint!), we have

Similarly,

We managed to bound the quantities in this fashion:

And thus we have

If you use 210-170 it would be 40