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1 of 8 0-day streak

Residuals and what least squares minimises

Question 1 of 8

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A least squares line models air pressure in terms of elevation

Let \(x\) represent elevation in hundreds of metres, and let \(y\) represent air pressure in hPa. The fitted line is:

\[y = 865 - x\]

The stated data point is (24, 843), with the explanatory value first

Scatterplot with 10 points. The horizontal axis is elevation (hundreds of metres) and the vertical axis is air pressure (hPa). The observed horizontal values run from 9 to 29, and the observed vertical values run from 832 to 857. The points closely follow a falling straight path. The fitted line passes through (9, 856) and (29, 836). The stated point is (24, 843).102030830840850elevation (hundreds ofmetres)air pressure (hPa)
(a)1 mark

Calculate the signed residual for the data point (24, 843)

(b)1 mark

Select the objective used to choose a least squares fitted line