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|-1.1|\n|2|-2.9|2|\n|3|-1.1|5.1|\n|4|2.2|8.2|\n|5|3.4|11.3|\ndoes the residual plot show that the line of best fit is appropriate for the data?\nyes, the points have no pattern.\nno, the points are evenly distributed about the x - axis.\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.\n|x|given|predicted|residual|\n|----|----|----|----|\n|1|-3.5|-1.1|\n|2|-2.9|2|\n|3|-1.1|5.1|\n|4|2.2|8.2|\n|5|3.4|11.3|\ndoes the residual plot show that the line of best fit is appropriate for the data?\nyes, the points have no pattern.\nno, the points are evenly distributed about the x - axis.\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 -1.1 -3.5 - (-1.1)= - 2.4
2 -2.9 2 -2.9 - 2=-4.9
3 -1.1 5.1 -1.1 - 5.1=-6.2
4 2.2 8.2 2.2 - 8.2=-6
5 3.4 11.3 3.4 - 11.3=-7.9

The answer to the multiple - choice question is: No, the points are in a linear pattern.

Explanation:

Step1: Recall the formula for residual

Residual = Observed value - Predicted value

Step2: Calculate residual for x = 1

Residual = -3.5-(-1.1)=-3.5 + 1.1=-2.4

Step3: Calculate residual for x = 2

Residual=-2.9 - 2=-4.9

Step4: Calculate residual for x = 3

Residual=-1.1 - 5.1=-6.2

Step5: Calculate residual for x = 4

Residual=2.2 - 8.2=-6

Step6: Calculate residual for x = 5

Residual=3.4 - 11.3=-7.9

Step7: Analyze residual plot concept

A good fit has randomly - scattered residuals. A linear pattern in residuals indicates a poor fit. So the answer to the multiple - choice is that the points are in a linear pattern, meaning the line of best fit is not appropriate.