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QUESTION IMAGE

nd the residual values, and use the graphing iculator tool to make a re…

Question

nd the residual values, and use the graphing
iculator tool to make a residual plot.
does the residual plot show that the line of best fit is
appropriate for the data?
yes, the points have no pattern.
no, the points are evenly distributed about the x-
axis.
no, the points are in a linear pattern.
yes, the points are in a curved pattern.

Explanation:

Step1: Recall the formula for residual

Residual = Given - Predicted.

Step2: Calculate residuals

For \(x = 1\): Residual \(=-3.5-(-1.1)=-3.5 + 1.1=-2.4\).
For \(x = 2\): Residual \(=-2.9 - 2=-4.9\).
For \(x = 3\): Residual \(=-1.1-5.1=-6.2\).
For \(x = 4\): Residual \(=2.2 - 8.2=-6\).
For \(x = 5\): Residual \(=3.4-11.3=-7.9\).

A good residual plot for a linear regression (line of best fit) should have points randomly scattered (no pattern).

Answer:

Yes, the points have no pattern.