Question

find the residual values, and use the graphing calculator tool to make a residual plot. does the residual plot show that the line of best fit is appropriate for the data? x given predicted residual 1 -2.7 -2.84 2 -0.9 -0.81 3 1.1 1.22 4 3.2 3.25 5 5.4 5.28 no, the points are in a curved pattern. no, the points are evenly distributed about the x - axis. yes, the points are in a linear pattern. yes, the points have no pattern.

Explanation:

Step1: Recall residual formula

Residual = Given - Predicted

Step2: Calculate residual for x = 1

Residual = - 2.7-(-2.84)=-2.7 + 2.84 = 0.14

Step3: Calculate residual for x = 2

Residual=-0.9-(-0.81)=-0.9 + 0.81=-0.09

Step4: Calculate residual for x = 3

Residual = 1.1 - 1.22=-0.12

Step5: Calculate residual for x = 4

Residual = 3.2 - 3.25=-0.05

Step6: Calculate residual for x = 5

Residual = 5.4 - 5.28 = 0.12
For the second - part, a good residual plot for a linear regression has points randomly scattered around the x - axis (no pattern).

Answer:

x	Given	Predicted	Residual
2	-0.9	-0.81	-0.09
3	1.1	1.22	-0.12
4	3.2	3.25	-0.05
5	5.4	5.28	0.12

Yes, the points have no pattern.