A large national bank charges local companies for using their services. A bank official reported the results of a regression analysis designed to predict the bank's charges (v), measured in dollars per month, for services rendered to local companies. One independent variable used to predict service charge to a company is the company's sales revenue (x), measured in $ million. Data for 21 companies who use the bank's services were used to fit the model E(y) = Ba + Bix. Suppose a 95% confidence interval for ß1 is (15, 25). Interpret the interval. A) We are 95% confident that sales revenue (x) will increase between $15 and $25 million for every $1 increase in service charge (y). B) We are 95% confident that service charge (y) will decrease between $15 and $25 for every $1 million increase in sales revenue (x). ) We are 95% confident that the mean service charge will fall between $15 and $25 per month. D) We are 95% confident that service charge (y) will increase between $15 and $25 for every $1 million increase in sales revenue (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.
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