• 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 pur- chased 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) 7.8 8.1 8.3 7.4 8.9 7.2 8.6 7.5 8.1 8.5 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, com- pute SSxx, SSyy, and SSxy. b. Find the least squares regression line. c. Interpret the meaning of the values of a and b calculated in part b. d. Calculate r and r 2 and explain what they mean. e. Compute the standard deviation of errors. f. Predict the bounce height of a basketball for x - 8.0. g. Construct a 98% confidence interval for B. h. Test at a 5% significance level whether B is different from zero. i. Using  - .05, can you conclude that - is different from zero