Consider an event of a boy participating in a shot put competition. In a recent competition he

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Consider an event of a boy participating in a shot put competition. In a recent competition he won the competition by throwing a shot put to a height of 23 meters, covering a distance of 50 meters. Experts believe that if he reduces the height, then he can throw even farther. Thus, they wanted to establish the relationship between the height and the length covered by the ball. The following data has been collected:

Distance (meters)72134486168
Height (meters)91625272522

a. Plot the given figures on a graph and comment if linear regression equation is the best fit.

b. Formulate a quadratic multiple regression equation for the given data.

c. Predict the height if the distance covered by the ball is 30 meters.

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