A2 October 2020 Q3

EdexcelCurrent spec6 marksLinear Regression

3. Below are 3 sketches from some students of the residuals from their linear regressions of \(y\) on \(x\).

Three residual sketches against x. I: residuals rise above 0, fall below 0, then rise again in a wave pattern. II: all residuals are above 0 and increase steadily. III: residuals scattered randomly above and below 0

For each sketch you should state, giving your reason,

(i) whether or not the sketch is feasible

and if it is feasible

(ii) whether or not the sketch suggests a linear or a non-linear relationship between \(y\) and \(x\). (6)
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