find the residual values, and use the graphing calculator tool to make a residual plot.\n|x|given|predicted|r…
find the residual values, and use the graphing calculator tool to make a residual plot.\n|x|given|predicted|residual|\n|----|----|----|----|\n|1|3.5|4.06|\n|2|2.3|2.09|\n|3|1.1|0.12|\n|4|-2.2|-1.85|\n|5|-4.1|-3.82|\ndoes the residual plot show that the line of best fit is appropriate for the data?\nyes, because the points have no clear pattern.\nno, the points have no pattern.\nno, the points are in a linear pattern.\nyes, the points are in a curved pattern.
Answer
Answer:
| x | Given | Predicted | Residual |
|---|---|---|---|
| 1 | 3.5 | 4.06 | $3.5 - 4.06=-0.56$ |
| 2 | 2.3 | 2.09 | $2.3 - 2.09 = 0.21$ |
| 3 | 1.1 | 0.12 | $1.1 - 0.12=0.98$ |
| 4 | -2.2 | -1.85 | $-2.2-(-1.85)=-2.2 + 1.85=-0.35$ |
| 5 | -4.1 | -3.82 | $-4.1-(-3.82)=-4.1 + 3.82=-0.28$ |
| Answer for the multiple - choice: A. Yes, because the points have no clear pattern. |
Explanation:
Step1: Recall residual formula
Residual = Given value - Predicted value.
Step2: Calculate for x = 1
Residual = $3.5-4.06=-0.56$.
Step3: Calculate for x = 2
Residual = $2.3 - 2.09=0.21$.
Step4: Calculate for x = 3
Residual = $1.1 - 0.12 = 0.98$.
Step5: Calculate for x = 4
Residual = $-2.2-(-1.85)=-0.35$.
Step6: Calculate for x = 5
Residual = $-4.1-(-3.82)=-0.28$.
Step7: Analyze residual plot
A good residual plot for a best - fit line has points with no clear pattern. So the answer to the multiple - choice is A.