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E. (-3,0)

residual =

f. (-5,-4.86)

residual =

User Tbatch
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1 Answer

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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)

User Stefan Van Aalst
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