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The recommended air pressure in a basketball is between 7 and 9 pounds per square inch (psi). When dropped from a height of 6 feet,
The recommended air pressure in a basketball is between 7 and 9 pounds per square inch (psi). When dropped from a height of 6 feet, a properly inflated basketball should bounce upward between 52 and 56 inches (http://www.bestsoccerbuys.com/balls-basketball.html). The basketball coach at a local high school purchased 10 new basketballs for the upcoming season, inflated the balls to pressures between 7 and 9 psi, and performed the bounce test mentioned above. The data obtained are given in the following table. Pressure (psi) 8.1 7.9 83 7.5 8.9 7.5 8.9 7.4 7.8 84 Bounce height (inches) 54.1 54.3 55.2 53.3 55.4 52.2 55.7 54.6 54.8 55.3 a. With the pressure as an independent variable and bounce height as a dependent variable, compute SS.. SS,,. and SS,, Enter the exact answers. SS. = SS= 1 b. Find the least squares regression line. Round your answers to three decimal places. y = 1 + 1 c Interpret the meaning of the values of a and b calculated in part b. a is the bis the d. Calculate r and r? and explain what they mean. Round your answers to three decimal places. r= This represents
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