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 previous season. Team Spring Training Regular Season Baltimore Orioles 0.407 0.422 Boston Red Sox 0.429 0.586 Chicago White Sox 0.417 0.546 Cleveland Indians 0.569 0.500 Detroit Tigers 0.569 0.457 Kansas City Royals 0.533 0.463 Los Angeles Angels 0.724 0.617 Team Spring Training Regular Season Minnesota Twins 0.500 0.540 New York Yankees 0.577 0.549 Oakland A's 0.692 0.466 Seattle Mariners 0.500 0.377 Tampa Bay Rays 0.731 0.599 Texas Rangers 0.643 0.488 Toronto Blue Jays 0.448 0.531 (a) What is the correlation coefficient between the spring training and the regular season winning percentages? (Round your answer to three decimal places.) (b) What is your conclusion about a team's record during spring training indicating how the team will play during the regular season? There is ---Select--- a weak negative a strong negative no a weak positive a strong positive correlation between a major league baseball team's winning percentage during spring training and its winning percentage during the regular season. Therefore the spring training record should ---Select--- not be be expected to be a good indicator of how a team will play during the regular season. What are some of the reasons why this occurs? Discuss.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Team | Spring Training |
Regular Season |
---|---|---|
Baltimore Orioles | 0.407 | 0.422 |
Boston Red Sox | 0.429 | 0.586 |
Chicago White Sox | 0.417 | 0.546 |
Cleveland Indians | 0.569 | 0.500 |
Detroit Tigers | 0.569 | 0.457 |
Kansas City Royals | 0.533 | 0.463 |
Los Angeles Angels | 0.724 | 0.617 |
Team | Spring Training |
Regular Season |
---|---|---|
Minnesota Twins | 0.500 | 0.540 |
New York Yankees | 0.577 | 0.549 |
Oakland A's | 0.692 | 0.466 |
Seattle Mariners | 0.500 | 0.377 |
Tampa Bay Rays | 0.731 | 0.599 |
Texas Rangers | 0.643 | 0.488 |
Toronto Blue Jays | 0.448 | 0.531 |
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