For each of the following, indicate whether it is a positive linear, negative linear, or nonlinear relationship: Quality of performance (Y) increases with increased mental arousal (X) up to an optimal level; then quality of performance decreases with increased arousal. More overweight people (X) are less healthy (Y). As number of minutes of exercise increases each week (X), dieting individuals lose more pounds (Y). The number of bears in an area (Y) decreases as the area becomes increasingly populated by humans (X)
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.
12. For each of the following, indicate whether it is a positive linear, negative linear, or nonlinear relationship:
- Quality of performance (Y) increases with increased mental arousal (X) up to an optimal level; then quality of performance decreases with increased arousal.
- More overweight people (X) are less healthy (Y).
- As number of minutes of exercise increases each week (X), dieting individuals lose more pounds (Y).
- The number of bears in an area (Y) decreases as the area becomes increasingly populated by humans (X).
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