10. -/1 POINTS BBBASICSTAT7 11.R.011. MY NOTES ASK YOUR TEACHER In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player. Let y represent the home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. X 0.308 0.327 0.252 0.306 0.251 0.265 0.249 y 7.1 7.5 4.9 6.5 4.3 5.4 5.4 Ex = 1.958; Zy = 41.1; Ex2 = 0.55416; Zy2 = 249.73; Exy = 11.718 (a) Find Se. (Round your answer to three decimal places.) (b) Find r. (Round your answer to three decimal places.) Test that p is positive. Use a = 0.01. (Round your answers to three decimal places.) t = critical t = Conclusion: O At the 1% level of significance, there is sufficient evidence to conclude that the population correlation coefficient is greater than zero. O At the 1% level of significance, there is insufficient evidence to conclude that the population correlation coefficient is greater than zero. (c) Find b. (Round your answer to three decimal places.)(c) Find b. (Round your answer to three decimal places.) Test that B is positive. Use a = 0.01. (Round your answers to three decimal places.) t = critical t = Conclusion: O At the 1% level of significance, there is sufficient evidence to conclude that the slope of the population least-squares line is positive. O At the 1% level of significance, there is insufficient evidence to conclude that the slope of the population least-squares line is positive. (d) Find the equation of the least-squares line y. (Round your answers to three decimal places.) D = X Find a 90% confidence interval for the predicted home run percentage for a player with a batting average of 0.310. (Round your answers to three decimal places.) to