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

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.
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
Step7: Analyze residual plot
A good - fitting line of best fit has residuals that are randomly scattered (no pattern). Here, the points have no pattern.
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. |