Back to Assess fit by analyzing residuals — Problem 3 · Task Set 7

Exercises: Assess Fit by Analyzing Residuals

Work through each section in order. A residual is observed minus predicted: positive when the data point is ABOVE the model, negative when below. Keep the sign. When reading a residual plot, remember the key idea: random scatter around zero means a GOOD fit, while a clear pattern (a curve or a fan) means the model is wrong.

Grade 10·20 problems·~35 min·Common Core Math - HS Statistics and Probability·standard·hss-id-b-6b

Work through problems with immediate feedback

Fluency Practice

Compute residuals and read residual plots.

You have these residuals at the given $x$ -values: $(1, +2)$ , $(2, -1)$ , $(3, +3)$ , $(4, -2)$ . To build the residual plot, where does the point for $x = 3$ go relative to the zero line?

At height $+3$ above the zero line, plotted at $x = 3$ .

At height $3$ below the zero line, plotted at $x = 3$ .

At the original observed $y$ -value, not at the residual.

On the zero line, since residuals always lie on zero.