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Polynomial Regression: Five measurements were performed to determine the breaking distance, d _ i , of a car at various speeds ( v _ i

Polynomial Regression: Five measurements were performed to
determine the breaking distance, d_i, of a car at various speeds
(v_i )(i=1,2,3,4,5). The results were entered in Table 2.1
v_i (m/s)1015202530
d_i (m)4.59.919.228.341.0
Table 2.1: Breaking distance d as a function of speed v
We assume that there is a quadratic relationship
d_i=av_i^2+b (2.1)
between speed and breaking distance.

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