Three different instrument panel configurations were tested by placing airline pilots in flight simulators and testing their reaction time to simulated flight emergencies. Eight pilots were assigned to each instrument panel configuration. Each pilot was faced with 10 emergency conditions in a randomized sequence, and the total time required to take corrective action for all 10 conditions was measured, with the following results:

In this table, \(x\) is the number of years of experience of the pilot, and \(y\) is the total reaction time in seconds. Perform an analysis of covariance to test whether the instrument-panel configurations yield significantly different results \((\alpha=0.05)\). Also, perform a one-way analysis of variance (ignoring the covariate, \(x\) ) and determine in that way what effect experience has on the results.

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Instrument panel I Instrument panel 2 Instrument panel 3 x x y x y 8.1 6.55 12.1 5.74 15.2 6.37 19.4 6.40 2.1 5.93 8.7 6.97 11.6 5.93 3.9 6.16 7.2 7.38 24.9 6.79 5.2 5.68 6.1 6.43 6.2 7.16 4.6 5.41 11.8 7.59 3.8 5.64 14.4 6.29 12.1 7.16 18.4 5.87 16.1 5.55 9.5 7.02 9.4 6.31 8.5 4.82 2.6 6.85