Back to Assess fit by analyzing residuals — Problem 2 · 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
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Fluency Practice

Compute residuals and read residual plots.

1.

A line y^=2x+5\hat{y} = 2x + 5 is fitted to data. At x=4x = 4 the observed value is 1111. Compute the residual (observed - predicted) at this point.