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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

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A fitted line is used to predict air pressure from elevation

Let \(x\) represent elevation and \(y\) represent air pressure. The fitted model is:

\[\hat y = 726.7 - 1.0x\]

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

The paired data and selected fitted values are shown below

Caseelevation (hundreds of metres)air pressure (hPa)Predicted responseSigned vertical departure
Case 113714.3713.70.6
Case 215710.9711.7-0.8
Case 317710.4709.70.7
Case 419707.2707.7-0.5
Case 521705.2??
Case 623704.4703.70.7
Case 725700.9701.7-0.8
Case 827700.3699.70.6
(a)2 marks

Find the missing fitted responses and signed vertical departures

(b)1 mark

Select the departure plot constructed from actual response minus predicted response