A marketing manager conducted a survey to determine whether there is a linear relationship between money spent on advertising and company sales. The data are provided in the table. The advertising expenses (?) are in thousands of dollars and the company sales (?) are in thousands of dollars. ? 2.4 1.6 2.0 2.6 1.4 1.6 2.0 2.2 ? 225 184 220 240 180 184 186 215 (a) Compute the correlation coefficient between money spent on advertising and company sales. (b) Which of the following the best interpretation of the correlation coefficient?
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 marketing manager conducted a survey to determine whether there is a linear relationship between money spent on advertising and company sales. The data are provided in the table. The advertising expenses (?) are in thousands of dollars and the company sales (?) are in thousands of dollars.
|
? |
2.4 |
1.6 |
2.0 |
2.6 |
1.4 |
1.6 |
2.0 |
2.2 |
|
? |
225 |
184 |
220 |
240 |
180 |
184 |
186 |
215 |
(a) Compute the
(b) Which of the following the best interpretation of the correlation coefficient?
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