Refer to the Buena School bus data. Develop a regression equation that expresses the relationship between age of the bus and maintenance. The age of the bus is the inde- pendent variable.
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.
- Refer to the Buena School bus data. Develop a regression equation that expresses the relationship between age of the bus and maintenance. The age of the bus is the inde- pendent variable.
- Draw a
scatter diagram . What does this diagram suggest as to the relationship
- Draw a
between the two variables? Is it direct or indirect? Does it appear to be strong or
weak?
- Develop a regression equation. How much does an additional year add to the main-
tenance cost. What is the estimated maintenance cost for a 10-year-old bus?
- Conduct a test of hypothesis to determine whether the slope of the regression line is greater than zero. Use the .05 significance level. Interpret your findings from parts (a),
(b), and (c) in a brief report.
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