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?\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.\n|x|given|predicted|residual|\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|

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?\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.\n|x|given|predicted|residual|\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|

Answer

Answer:

x Given Predicted Residual
1 -2.7 -2.84 -2.7 - (-2.84)=0.14
2 -0.9 -0.81 -0.9 - (-0.81)= - 0.09
3 1.1 1.22 1.1 - 1.22=-0.12
4 3.2 3.25 3.2 - 3.25=-0.05
5 5.4 5.28 5.4 - 5.28 = 0.12
Answer for the multiple - choice: D. Yes, the points have no pattern.

Explanation:

Step1: Recall residual formula

Residual = Observed value - Predicted value.

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 residual plot for a linear regression has points randomly scattered with no pattern. So the answer for the multiple - choice is that the points have no pattern, indicating the line of best fit is appropriate.