# Question: The recommended air pressure in a basketball is between 7

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.
a. With the pressure as an independent variable and bounce height as a dependent variable, compute 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 r2 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 α = .05, can you conclude that p is different from zero?

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