statistics

[1/2 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.1.017.NVA MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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, and let y represent the player's 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 0.235 0.257 0.286 0.263 0.268 0.339 0.299 y 1.6 3.3 5.5 3.8 3.5 7.3 5.0 (a) Make a scatter diagram of the data. Graph Layers Point 1 X Point 2 X Point 3 X Point 4 X Point 5 x Point 6 X Point 7 X 23 0.24 0.25 0.26 0.27 0.28 0.29 3 0.31 32 0,93 Clear All WebAssign. Graphing Tool Submission Data (b) Use a calculator to verify that Ex = 1.947, Ex? = 0.548, Zy = 30.0, Ey2 = 148.68 and Exy = 8.704. Computer. (Round your answer to three decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer Given our value of r, y should tend to decrease as x increases. Given our value of r, y should tend to increase as x increases. Given our value of r, we usions for the behavior of y as x increases. Given our value of r, y should tend to remain constant as x increases.Do larger universities tend to have more property crime? University crime statistia are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let X be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents. 13.9 31.4 24.5 14.3 7.5 27.7 16.2 20.1 22 71 39 23 15 30 15 25 (a) Make a scatter diagram of the data. Elm Then visualize the line you think best ts the data. (b) Use a calculator to verify that 2x = 155.6, 2x2 = 3473.90, 2y = 240, EyZ = 9550 and 2xy = 5508.6. Compute r. (Round to 3 decimal places.)