Question

the approximate line of best fit for the given data points, y = -2x - 2, is shown on the graph. which is the residual value when x = -2? -2 -1 1 2

Explanation:

1. Recall the formula for the residual:

• The residual \(e\) at a given \(x - \)value is given by \(e=y_{actual}-y_{predicted}\).
• First, find the predicted \(y\) - value when \(x = - 2\) using the line - of - best - fit equation \(y=-2x - 2\).
• Substitute \(x=-2\) into \(y=-2x - 2\):
• \(y=-2\times(-2)-2=4 - 2=2\).
• From the graph, when \(x=-2\), the actual \(y\) - value (the value of the data - point) is \(y = 0\).

1. Calculate the residual:

• Using the formula \(e=y_{actual}-y_{predicted}\), we have \(e = 0-2=-2\).

Answer:

-2