Now, the predictors flyer and display were added to the dataset and a multiple linear regression model was fitted. Part of the R output is shown below – Estimate Standard Error Intercept 81.23 35.24 Price -0.0318 0.023 Flyer 10.21 3.28 Display 21.67 13.27 Adj R Square = 78.8% Calculate a 95% confidence interval of Flyer and interpret the same in the context of the problem. Can we say that promoting a product through fliers significantly affect its sales?
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.
- Now, the predictors flyer and display were added to the dataset and a multiple linear regression model was fitted. Part of the R output is shown below –
|
Estimate |
Standard Error |
Intercept |
81.23 |
35.24 |
Price |
-0.0318 |
0.023 |
Flyer |
10.21 |
3.28 |
Display |
21.67 |
13.27 |
Adj R Square = 78.8%
- Calculate a 95% confidence interval of Flyer and interpret the same in the context of the problem. Can we say that promoting a product through fliers significantly affect its sales?
- What is the coefficient of multiple determination of this model? Interpret its value.
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