Question

practice computing and analyzing residuals. the predicted values were computed by using the line of best fit, $y = 3.2x + 2$. what are the residual values needed to complete the chart? $a = $ $b = $ $c = $ $d = $

Explanation:

Step1: Recall the formula for residual

Residual = Given - Predicted.

Step2: Calculate \(a\)

For \(x = 1\), Given \(=6.1\), Predicted \(=5.2\). Then \(a=6.1 - 5.2\).
$$a = 0.9$$

Step3: Calculate \(b\)

For \(x = 2\), Given \(=7.4\), Predicted \(=8.4\). Then \(b=7.4 - 8.4\).
$$b=-1$$

Step4: Calculate \(c\)

For \(x = 3\), Given \(=11\), Predicted \(=11.6\). Then \(c=11 - 11.6\).
$$c=-0.6$$

Step5: Calculate \(d\)

For \(x = 4\), Given \(=15\), Predicted \(=14.8\). Then \(d=15 - 14.8\).
$$d = 0.2$$

Answer:

\(a = 0.9\), \(b=-1\), \(c=-0.6\), \(d = 0.2\)