Based on the above, the residual for each of the coordinate pairs, (x, y) are-said to be: options a) -3.1; b) -0.2; c) 0.32; d) 0; e) -0.1; f) -6.96.
What is the residual?
A straight line is one that closes the gap between it and certain data is called a line of best fit.
Based on the question;
Data is given by the line of best fit as;
y = 1.1x + 3.4
So, the residual for the given coordinates are found as;
Residual = y - (1.1x + 3.4)
a. (5,8.8)
Residual = 5.8 - (1.1(5) + 3.4)
= -3.1
b. (2.5,5.95)
Residual = 5.95 - (1.1(2.5) + 3.4)
= -0.2
c. ((0,3.72)
Residual = 3.72 - (1.1(0) + 3.4)
= 0.32
d. (1.5,5.05)
Residual = 5.05 - (1.1(1.5) + 3.4)
= 0
e. (-3,0)
Residual = 0 - (1.1(-3) + 3.4)
= -0.1
f. (-5,-4.86)
Residual = -4.86 - (1.1(-5) + 3.4)
= -6.96
Hence, the residual for each of the coordinate pairs, (x, y) can be found.
See text below
The line of best fit for a data set is y = 1.1x + 3.4. Find the residual for each of the coordinate pairs, (x, y).
a. (5,8.8)
b. (2.5,5.95)
c. ((0,3.72)
d. (1.5,5.05)
e. (-3,0)
f. (-5,-4.86)