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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, d. Calculate r and r and explain what they mean. 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 Round your answers to three decimal places. 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 74 7.8 84 This represents Bounce height (inches) 54.1 54.3 55.2 53.3 55.4 52.2 55.7 54.6 54.8 55.3 12 . This represents a. With the pressure as an independent variable and bounce height as a dependent variable, compute SS.., SS,,, and SS,,. Enter the exact answers. h. Test at the 5 % significance level whether B is different from 0. SS = e. Compute the standard deviation of errors. Based on a 5 % significance level test, we conclude that B different from 0. SSy = Round your answer to three decimal places. SS, Se = 1 i. Using a - 0.05 can you conclude that p is different than zero? Using a = 0.05, we conclude that p different than zero. b. Find the least squares regression line. Round your answers to three decimal places. f. Predict the bounce height of a basketball for x = 8.0. j - Round your answer to three decimal places. inches c. Interpret the meaning of the values of a and b calculated in part b. a is the b is the &. Construct a 98 % confidence interval for B. Round your answers to three decimal places
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