A large consumer goods company has been studying the effect of advertising on total profits. As part of this study, data on advertising expenditures and total sales were collected for a five-month period and are as follows:(10, 100) (15, 200) (7, 80)(12, 120) (14, 150)The first number is advertising expenditures and the second is total sales.a. Plot the data.b. Does the plot provide evidence that advertising has a positive effect on sales?c. Compute the regression coefficients, b0 and b1
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 large consumer goods company has been studying the effect of advertising on total profits. As part of this study, data on advertising expenditures and total sales were collected for a five-month period and are as follows:
(10, 100) (15, 200) (7, 80)(12, 120) (14, 150)
The first number is advertising expenditures and the second is total sales.
a. Plot the data.
b. Does the plot provide evidence that advertising has a positive effect on sales?
c. Compute the regression coefficients, b0 and b1
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