A member of a student team playing an interactive marketing game received the following computer output when studying the relation between advertising expenditures x and sales y for one of the team’s products: Estimated regression equation: Yhut) =350.7-0.18X Two sided p-value for the estimated slope: 0.91 The students stated: “The message I get here is that the more we spend on advertising this product, the fewer units we sell!” Comment on this student’s statement.
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 member of a student team playing an interactive marketing game received the following computer output when studying the relation between advertising expenditures x and sales y for one of the team’s products:
Estimated regression equation: Yhut) =350.7-0.18X
Two sided p-value for the estimated slope: 0.91
The students stated: “The message I get here is that the more we spend on advertising this product, the fewer units we sell!” Comment on this student’s statement.
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