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. Spring Regular Spring Regular Team Training Season Team Training Season Baltimore Orioles 0.409 0.424 Minnesota Twins 0.490 0.542 Boston Red Sox 0.423 0.588 New York Yankees 0.575 0.554 Chicago White Sox 0.412 0.568 Oakland A's 0.696 0.468 Cleveland Indians 0.570 0.490 Seattle Mariners 0.490 0.379 Detroit Tigers 0.570 0.459 Tampa Bay Rays 0.741 0.601 Kansas City Royals 0.521 0.464 Texas Rangers 0.648 0.473 Los Angeles Angels 0.734 0.619 Toronto Blue Jays 0.442 0.533 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.

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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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.
Spring
Regular
Spring
Regular
Team
Training
Season
Team
Training
Season
Baltimore Orioles
0.409
0.424
Minnesota Twins
0.490
0.542
Boston Red Sox
0.423
0.588
New York Yankees
0.575
0.554
Chicago White Sox
0.412
0.568
Oakland A's
0.696
0.468
Cleveland Indians
0.570
0.490
Seattle Mariners
0.490
0.379
Detroit Tigers
0.570
0.459
Tampa Bay Rays
0.741
0.601
Kansas City Royals
0.521
0.464
Texas Rangers
0.648
0.473
Los Angeles Angels
0.734
0.619
Toronto Blue Jays
0.442
0.533
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.
Transcribed Image Text: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. Spring Regular Spring Regular Team Training Season Team Training Season Baltimore Orioles 0.409 0.424 Minnesota Twins 0.490 0.542 Boston Red Sox 0.423 0.588 New York Yankees 0.575 0.554 Chicago White Sox 0.412 0.568 Oakland A's 0.696 0.468 Cleveland Indians 0.570 0.490 Seattle Mariners 0.490 0.379 Detroit Tigers 0.570 0.459 Tampa Bay Rays 0.741 0.601 Kansas City Royals 0.521 0.464 Texas Rangers 0.648 0.473 Los Angeles Angels 0.734 0.619 Toronto Blue Jays 0.442 0.533 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.
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.
0.244
b. What is your conclusion about a team's record during spring training indicating how the team will play during the regular season?
(i) It is a good indicator because of low negative correlation.
(ii) It is not a good indicator because of low positive correlation.
(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 zero correlation.
Choose the correct option.
Choice (ii)
What are some of the reasons why this occurs? Discuss.
Winning is
v the primary goal in spring training games. A
Select your answer -
v correlation between spring training winning percentage and
regular season winning percentage should be anticipated.
Transcribed Image Text: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. 0.244 b. What is your conclusion about a team's record during spring training indicating how the team will play during the regular season? (i) It is a good indicator because of low negative correlation. (ii) It is not a good indicator because of low positive correlation. (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 zero correlation. Choose the correct option. Choice (ii) What are some of the reasons why this occurs? Discuss. Winning is v the primary goal in spring training games. A Select your answer - v correlation between spring training winning percentage and regular season winning percentage should be anticipated.
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