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?\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|\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.

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?\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|\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

Explanation:

Step1: Recall residual formula

Residual = Given - Predicted

Step2: Calculate residual for (x = 1)

Residual (=3.5 - 4.06=- 0.56)

Step3: Calculate residual for (x = 2)

Residual (=2.3 - 2.09 = 0.21)

Step4: Calculate residual for (x = 3)

Residual (=1.1 - 0.12=0.98)

Step5: Calculate residual for (x = 4)

Residual (=-2.2-(-1.85)=-2.2 + 1.85=-0.35)

Step6: Calculate residual for (x = 5)

Residual (=-4.1-(-3.82)=-4.1 + 3.82=-0.28)

Step7: Determine if line of best - fit is appropriate

A residual plot with no clear pattern indicates that the line of best - fit is appropriate. Points with no pattern mean the model is a good fit.

Answer:

(x) Given Predicted Residual
1 3.5 4.06 - 0.56
2 2.3 2.09 0.21
3 1.1 0.12 0.98
4 -2.2 -1.85 -0.35
5 -4.1 -3.82 -0.28
Yes, because the points have no clear pattern.