Old Faithful is a geyser located in Yellowstone National Park, WY. It may not be surprising that there is a correlation between the amount of time you have to weight between eruptions and the eruption length. You can witness eruptions that last up to 5 minutes but you may have to wait up to 90 minutes for them to occur whereas 2 minute eruptions tend to have about an hour wait-time. The following is a s
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.
- Old Faithful is a geyser located in Yellowstone National Park, WY.
It may not be surprising that there is a
The following is a scatter-plot of 272 Old Faithful eruptions the x-variable is eruption length and the y-variable is waiting time. The equation for the best fit line is also listed on the graph.
- Does the eruption with the shortest eruption length also have the shortest waittime?
- Is the correlation between eruption length and waiting time positive or negative?
- Guess the
correlation coefficient . - Using the the equation for the best fit line, predict the waiting time for an eruption that lasts 3.4 minutes.
- Using this data would you feel comfortable making a prediction for the wait time of an eruption that lasts 3 minutes? What about 6 minutes?
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