or (165) (46) (7) R2 = 0.87 F-value is significant at 5% level (a) Given the above equation which depicts the effect of schooling (Xi) on income (Yi) discuss the importance of the quadratic term, X2i (b) Interpret the coefficients in the mode
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.
The following regression was derived from data collected from 1568 individuals:
Yi= 2500i +147Xi – 23 Xi
2
Standard error (165) (46) (7)
R2
= 0.87
F-value is significant at 5% level
(a) Given the above equation which depicts the effect of schooling (Xi) on income (Yi) discuss the
importance of the quadratic term, X2i
(b) Interpret the coefficients in the model
(c) Briefly explain how we can investigate whether the model faces the problem of multicollinearity
Step by step
Solved in 2 steps with 4 images
