Question

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?
no, the points are in a curved pattern.
no, the points are evenly distributed about the x - axis.
yes, the points are in a linear pattern.
yes, the points have no pattern.

Explanation:

Step1: Calculate residual for \(x = 1\)

Residual = Given - Predicted = \(-2.7-(-2.84)=-2.7 + 2.84 = 0.14\)

Step2: Calculate residual for \(x = 2\)

Residual = Given - Predicted = \(-0.9-(-0.81)=-0.9 + 0.81=-0.09\)

Step3: Calculate residual for \(x = 3\)

Residual = Given - Predicted = \(1.1 - 1.22=-0.12\)

Step4: Calculate residual for \(x = 4\)

Residual = Given - Predicted = \(3.2-3.25=-0.05\)

Step5: Calculate residual for \(x = 5\)

Residual = Given - Predicted = \(5.4 - 5.28 = 0.12\)

For the second part, in a good residual plot (where the line of best - fit is appropriate), the residuals should be randomly scattered (have no pattern).

Answer:

Residuals: \(0.14\), \(-0.09\), \(-0.12\), \(-0.05\), \(0.12\)

For the multiple - choice question: Yes, the points have no pattern.