Search topics

Search
1 of 8 0-day streak

Construct and interpret a residual plot

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
irregular; 8 paired casesirregular; 10 paired casesu-curve; 8 paired casesu-curve; 10 paired casesinverted-u-curve; 8 paired casesinverted-u-curve; 10 paired casesNOWMix of allRecommended
Question 1 of 8

Calculator allowed

A fitted line is used to predict heating energy use from outdoor temperature

Let \(x\) represent outdoor temperature and \(y\) represent heating energy use. The fitted model is:

\[\hat y = 400 - 1x\]

For each case, calculate the predicted response, then residual = actual response minus predicted response

The paired data and selected fitted values are shown below

Caseoutdoor temperature (°C)heating energy use (MJ)Predicted responseSigned vertical departure
Case 1243823766
Case 226366??
Case 3283793727
Case 430365370-5
Case 532363368-5
Case 6343733667
Case 736356364-8
Case 8383683626
(a)2 marks

Complete the selected predicted-response and signed-departure entries

(b)1 mark

Which plot matches the signed departures from the fitted line?