(a) Use the fitted regression Volume = 10.0655 + 86.0308 x Aroc to verify that the predicted volume is the fitted response value for x* = 0.65. Start with the coefficient results in the regression line to reduce the roundoff error. If x* = 0.65, what is the predicted mean response value ppolume? Verify that it is equivalent to the value in the table for "Predicted Volume". (Enter your answer rounded to four decimal places.) Hvolume (b) What is the 95% interval we want? (Enter your answers for the lower and upper limits of your chosen interval, rounded to three decimal places.) Lower limit = Upper limit =
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.
(a)
The predicted volume of the fitted response value for is,
Thus, the predicted volume of the fitted response value for is 65.9855.
The predicted mean response value is equal to the value in the table for "predicted volume".
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