For Exercises 21–26, do the following:
- Characterize the relationship between and .
- State what happens to the values of the variable as the -values increase.
Question 4.49
batters2014
49. Batting Average and Runs Scored. The table shows the top 10 hitters in the American League of Major League Baseball for 2014. We are interested in estimating the number of runs scored using the player's batting average .
| Batter | Team | Runs scored |
Batting average |
|---|---|---|---|
| Jose Altuve | Houston Astros | 85 | 0.341 |
| Victor Martinez | Detroit Tigers | 87 | 0.335 |
| Michael Brantley | Cleveland Indians |
94 | 0.327 |
| Adrian Beltre | Texas Rangers | 79 | 0.324 |
| Jose Abreu | Chicago White Sox |
80 | 0.317 |
| Robinson Cano | Seattle Mariners | 77 | 0.314 |
| Miguel Cabrera | Detroit Tigers | 101 | 0.313 |
| Melky Cabrera | Toronto Blue Jays |
81 | 0.301 |
| Adam Eaton | Chicago White Sox |
76 | 0.300 |
| Howie Kendrick | Los Angeles Angels |
85 | 0.293 |
4.1.49
(a)
(b) The batting average of a baseball player and the number of runs scored by a baseball player have no apparent relationship. (c) (d) This value of is very close to the value . We would therefore say that there is no linear relationship between batting average and runs scored.