11.9 A manufacturer of cases for sound equipment requires that holes be drilled for metal screws. The drill bits wear out and must be replaced; there is expense not only in the cost of the bits but also in the cost of lost production. Engineers varied the rotation speced of the drill and measured the lifetime y (thousands of holes drilled) of four bits at each of five specds x. The data were: 60 60 60 60 80 80 80 80 100 100 4.6 3.8 4.9 4.5 4.7 5.8 5.5 5.4 5.0 4.5 y 100 100 120 120 120 120 140 140 140 140 3.2 4.8 4.1 4.5 4.0 3.8 3.6 3.0 3.5 3.4 a. Create a scatterplot of the data. Does there appear to be a relation? Does it appear to be linear? b. Is there any evident outlier? If so, does it have high influence?
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.
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