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Consider the collection of data shown in the table below. Time 2 3 4 5 (h) Distance (mi) 123 188 250 310 the distance traveled

Consider the collection of data shown in the table below.

Time 2 3 4 5

(h)

Distance (mi) 123 188 250 310

the distance traveled as a linear function of the C? = d, C ? R22, d ? R21

whose solution ? gives the coefficients of the best fit line. That is, what are the entries of C and d? You do not need to find ?.

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Problem 6 (Normal Equations). Consider the collection of data shown in the table below. Time (h) Distance (mi) 2 123 3 188 4 250 5 310 Suppose that we wish to predict the distance traveled as a linear function of the time. Set up the normal equations to obtain a consistent system as = d, C 5 RM, d (5 R2\" whose solution 19 gives the coefcients of the best t line. That is, what are the entries of C and (1? You do not need to nd )3

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