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Bivariate Regression Analysis
Group -1
Abhijeet Dash UM14001Abinash Mallick UM14004 Esha Epsita UM14024 G.Tarakeshwar UM14025 Krishna K. Sahoo UM14029 Kundan Mohapatra UM14032Nitika Baralia UM14036P.Goutam Prasad Rao UM14037Padmalaya Mallick UM14038Sukanya Dash UM14056
Assigment-2
Objective: To find the relationship between coal
production and electricity generation in India
Apriori reasoning: Thermal energy is a major
source of electricity generation. It contributes about 60% to the total electricity generation in India. The other sources being Hydro, Wind, Nuclear, Solar and Tidal.
Hypothesis
Ho: There exists no relation between Electricity generation and coal production in India.
H1: There is a relation between Electricity generation and coal production in India.
Dependent Variable: Electricity generation
Independent Variable: Coal production
Source of Data:http://www.bp.com/statisticalreview
Data and Results
The file contains the source Data which is needed for analysis ---
Results of SPSS Linear regression models -------------------
Analysis Table of All Models
Equation Alpha Beta1 Beta2 Beta3 R Squared
Simple Linear 1.36E-25 0.993 0.986
Linear Trend 1.87E-22 0.988 0.975
Log-linear 7.27E-25 0.992 0.984
Semi-log 1.71E-26 0.994 0.988
Quadratic 3.25E-24 1.174 -0.184 0.987
Cubic 1.12E-22 1.06 0.072 -0.145 0.987
Interpretation of the Results
As per the regression results, R square value for the semi-log model is the highest, however we can see close R-square value for Log Linear, Cubic, Quadratic and Linear model as well. Hence we can say that this model explains the relationship between independent and dependent variables.
As R square value is very high and, the significance value is nearly 0 which is less than 5% (taken as default), we can reject the null hypothesis stating that there is a relationship between the coal production and electricity generation.
Considering the above models it is clear that the semi-log model has a better explanatory power
Conclusion
Hence, the semi-log model best explains our alternate hypothesis that electricity generation is co-related to coal production in India.
Thank you