A scatterplot shows a strong, positive, linear relationship between the number of rebounds a basketball team averages and the number of wins that team records in a season. Which conclusion is most appropriate? (A) A team that increases its number of rebounds causes its chances of winning more games to increase. (B) If the residual plot shows no pattern, then it is safe to conclude that getting more rebounds causes more wins, on average. (C) If the residual plot shows no pattern, then it is safe to conclude that getting more wins causes more rebounds, on average. (D) If the r^2r2 value is close enough to 100%, then it is safe to conclude that getting more rebounds causes more wins, on average. (E) Rebounds and wins are positively correlated, but we cannot conclude that getting more rebounds causes more wins, on average.
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.
2. A scatterplot shows a strong, positive, linear relationship between the number of rebounds a basketball team averages and the number of wins that team records in a season. Which conclusion is most appropriate?
- (A) A team that increases its number of rebounds causes its chances of winning more games to increase.
- (B) If the residual plot shows no pattern, then it is safe to conclude that getting more rebounds causes more wins, on average.
- (C) If the residual plot shows no pattern, then it is safe to conclude that getting more wins causes more rebounds, on average.
- (D) If the r^2r2 value is close enough to 100%, then it is safe to conclude that getting more rebounds causes more wins, on average.
- (E) Rebounds and wins are
positively correlated , but we cannot conclude that getting more rebounds causes more wins, on average.
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