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Residuals and what least squares minimises

Question 1 of 8

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A fitted line is used to predict remaining battery range from trip distance

Let \(x\) represent trip distance in km, and let \(y\) represent remaining battery range in km. The fitted line is:

\[y = 321 - x\]

The stated data point is (57, 268), with the explanatory value first

Scatterplot with 10 points. The horizontal axis is trip distance (km) and the vertical axis is remaining battery range (km). The observed horizontal values run from 54 to 74, and the observed vertical values run from 247 to 268. The points closely follow a falling straight path. The fitted line passes through (54, 267) and (74, 247). The stated point is (57, 268).6070250260270trip distance (km)remaining battery range(km)
(a)1 mark

What is the vertical residual of the stated case?

(b)1 mark

Which statement gives the quantity that the least squares method minimises?