find the residual values, and use the graphing calculator tool to make a residual plot.\ndoes the residual…

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

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

Answer

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

The completed table:

x Given Predicted Residual
1 -2.7 -2.84 0.14
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

For the second - part: A good residual plot for a well - fitting line of best fit has points that have no pattern. When the points in a residual plot have no pattern, it means that the line of best fit is appropriate for the data.

Answer:

x Given Predicted Residual
1 -2.7 -2.84 0.14
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.