Application: A corporation owns several companies. The planner wants to know if there is a significant relationship between the amount spent in advertising and the sales of the company. The planner gathers the following data in millions. a = 5% Advertising 12.5 3.5 21.4 10.5 12.2 8.9 7.6 12.4 18.7 Sales 148 26 120 100 157 58 67 123 196 Develop the regression equation and predict the sales if the amount spent in advertising is 15 million.
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.
Develop the regression equation and predict the sales if the amount spent in advertising is 15 million
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