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Statistics: Track and Field

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The long jump is a track-and-field event in which a competitor attempts to jump a maximum distance into a sandpit after a running start. At the edge of the pit is a takeoff board. Jumpers usually try to plant their toes at the front edge of this board to maximize their jumping distance. The absolute distance between the front edge of the takeoff board and the spot where the toe actually lands on the board prior to jumping is called "takeoff error." Is takeoff error in the long jump linearly related to best jumping distance? To answer this question, kinesiology researchers videotaped the performance of 18 novice long jumpers at a high school track meet. To average takeoff error x and the best jumping distance y (out of three jumps) for each jumper are recorded in the following table (see attached file).

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As per the given regression results, the regression equation connecting average takeoff error (X) and the best jumping distance (Y) is given by
Y = 5.3480 + 0.5299 X
In this regression equation, the slope (regression) coefficient of the explanatory variable is 0.5299. ...

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