Does a major league baseball team's record during spring training indicate how the team will play during the regular season? Over a six-year period, the correlation coefficient between a team's winning percentage in spring training and its winning percentage in the regular season is 0.18. Shown are the winning percentages for the 14 American League teams during a season.
Does a major league baseball team's record during spring training indicate how the team will play during the regular season? Over a six-year period, the
| Team | Spring Training |
Regular Season |
Team | Spring Training |
Regular Season |
|
|---|---|---|---|---|---|---|
| Baltimore Orioles | 0.415 | 0.430 | Minnesota Twins | 0.497 | 0.548 | |
| Boston Red Sox | 0.427 | 0.594 | New York Yankees | 0.585 | 0.527 | |
| Chicago White Sox | 0.418 | 0.564 | Oakland A's | 0.694 | 0.474 | |
| Cleveland Indians | 0.566 | 0.497 | Seattle Mariners | 0.497 | 0.385 | |
| Detroit Tigers | 0.566 | 0.465 | Tampa Bay Rays | 0.732 | 0.607 | |
| Kansas City Royals | 0.534 | 0.470 | Texas Rangers | 0.642 | 0.492 | |
| Los Angeles Angels | 0.717 | 0.625 | Toronto Blue Jays | 0.444 | 0.539 |
a. What is the correlation coefficient between the spring training and the regular season winning percentages (to 3 decimals)? Round intermediate calculations up to 4 decimals.
b. What is your conclusion about a team's record during spring training indicating how the team will play during the regular season? Choose the correct option:
(i) It is a good indicator because of low
(ii) It is not a good indicator because of low
(iii) It is a good indicator because of low positive correlation.
(iv) It is not a good indicator because of high positive correlation.
(v) It is not a good indicator because of high negative correlation.
(vi) It is a good indicator because of
c. What are some of the reasons why this occurs? Choose the correct option in the following:
Winning (is / is not) the primary goal in spring training games. A (low/high) correlation between spring training winning percentage and regular season winning percentage should be anticipated.
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