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?\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.\ndoes 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

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 second - part: Yes, because the points have no clear pattern.

Explanation:

Step1: Recall residual formula

Residual = Given - Predicted

Step2: Calculate residual for x = 1

$3.5-4.06=-0.56$

Step3: Calculate residual for x = 2

$2.3 - 2.09=0.21$

Step4: Calculate residual for x = 3

$1.1-0.12 = 0.98$

Step5: Calculate residual for x = 4

$-2.2-(-1.85)=-0.35$

Step6: Calculate residual for x = 5

$-4.1-(-3.82)=-0.28$

Step7: Analyze residual plot

A good residual plot for a linear regression has no clear pattern (randomly - scattered points). So, the line of best fit is appropriate when there is no clear pattern in the residual plot.