Statistical Analysis: Correlation and Regression Study by Dr. Said T. El Hajjar

In the second semester of 2017 at Ahlia University, Dr. Said T. El Hajjar presented a study focusing on correlation and regression analysis. The study investigated the relationship between independent variables PP and SS with the dependent variable TP. Through various case scenarios, the study revealed significant findings on the correlation strength and significance levels. Furthermore, regression analysis highlighted the impact of PP on TP with an explanation of the variation in TP due to PP.

• Statistical Analysis
• Correlation
• Regression Study
• Dr. Said El Hajjar
• Ahlia University

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1. Center of Statistical Analysis Correlation and Regression Analysis CSA-C Presented By: EL Hajjar, Said Associate Professor, Ahlia University Second Semester, 2017 1 Dr. Said T. EL Hajjar

2. Activity 1: Correlation We need to study the correlation between the independent variables PP and SS with the dependent variable TP. 2 Dr. Said T. EL Hajjar

3. Activity 1: Correlation(Case I ) We need to study the correlation between the independent variables PP and SS with the dependent variable TP. There is strong positive linear correlation between TP and PP ( r = 0.9), this correlation is significant ( p-value = 0.000 < 0.01) 3 Dr. Said T. EL Hajjar

4. Activity 1: Correlation(Case II ) We need to study the correlation between the independent variables PP and SS with the dependent variable TP. Although there is weak positive linear correlation between TP and PP ( r = 0.4), this correlation is significant ( p-value = 0.000 < 0.01) 4 Dr. Said T. EL Hajjar

5. Activity 1: Correlation(Case III ) We need to study the correlation between the independent variables PP and SS with the dependent variable TP. There is strong positive linear correlation between TP and PP ( r = 0.8); however, this correlation is not significant ( p-value = 0.050 > 0.01) 5 Dr. Said T. EL Hajjar

6. Activity 1: Correlation(Case IV ) We need to study the correlation between the independent variables PP and SS with the dependent variable TP. There is weak positive linear correlation between TP and PP ( r = 0.8) and this correlation is not significant ( p-value = 0.060 > 0.01) 6 Dr. Said T. EL Hajjar

7. Activity 1I: Regression Analysis (Case I ) Output: Effect of PP on TP 81.1% of the variation in TP is explained by a portion variation in PP. Moreover, the independent variable PP does explain a significant portion of the variation in the dependent variable TP ( p-value = 0.000 < 0.05) 7 Dr. Said T. EL Hajjar

8. Activity 1I: Regression Analysis (Case I ) Output: Effect of PP on TP . 1 = . 0 095 052 TP PP Estimated Regression Line : Moreover, there is sufficient evidence that PP affects TP ( p- value = 0.000 < 0.05 ). (Positive Effect) -Note that 0.052 is the portion of TP not explained by PP. -Value of TP will increase, on average, by 1.095 unit value of PP for each one unit increase in PP value. 8 Dr. Said T. EL Hajjar

9. Activity 1I: Regression Analysis (Case II ) Output: Effect of PP on TP 10.1% of the variation in TP is explained by a portion variation in PP. However, the independent variable PP does explain a significant portion of the variation in the dependent variable TP ( p-value = 0.000 < 0.05) 9 Dr. Said T. EL Hajjar

10. Activity 1I: Regression Analysis (Case II ) Output: Effect of PP on TP Estimated Regression Line : = . 1 + 095 . 0 052 TP PP Moreover, there is sufficient evidence that PP affects TP ( p- value = 0.000 < 0.05 ). ( Negative Effect ) -Note that 0.052 is the portion of TP not explained by PP. -Value of TP will decrease, on average, by 1.095 unit value of PP for each one unit increase in PP value. 10 Dr. Said T. EL Hajjar

11. Activity 1I: Regression Analysis (Case III ) Output: Effect of PP on TP 1.1% of the variation in TP is explained by variation in PP. And, the independent variable PP does not explain a significant portion of the variation in the dependent variable TP ( p-value = 0.102 > 0.05) So, No need to proceed. PP does not influence TP 11 Dr. Said T. EL Hajjar

12. Activity 1I: Regression Analysis (Case IV ) Output: Effect of PP on TP 10.1% of the variation in TP is explained by a portion variation in PP. However, the independent variable PP does explain a significant portion of the variation in the dependent variable TP ( p-value = 0.000 < 0.05) 12 Dr. Said T. EL Hajjar

13. Activity 1I: Regression Analysis (Case IV ) Output: Effect of PP on TP . 1 = + 095 . 0 052 TP PP Estimated Regression Line : Moreover, there is no sufficient evidence that PP affects house price ( p-value = 0.070 > 0.05 ). ( No Effect ) So, PP does not influence TP 13 Dr. Said T. EL Hajjar

14. Activity III: Multiple Regression Analysis Consider the following Model 14 Dr. Said T. EL Hajjar

15. Multiple Regression Analysis Step2 : Continue / OK .We get the output: 87.3% of the variation in TP is explained by a portion variation in PP and SS. Moreover, the independent variables PP and SS do explain a significant portion of the variation in the dependent variable TP ( p-value = 0.000 < 0.05) 15 Dr. Said T. EL Hajjar

16. Multiple Regression Analysis Step2 : Continue / OK .We get the output: . 0 = + . 0 769 . 0 454 456 TP PP SS Estimated Regression Line : Value of TP will increase, on average, by 0.769 unit for each 1 unit increase in the value of PP, net of the effects of changes due to SS score. Value of TP will increase, on average, by 0.454 unit for each 1 unit increase in the value of SS, net of the effects of changes due to PP score. Moreover, there is sufficient evidence that overall PP and SS affects TP ( p-value for PP = 0.000 < 0.05 and p-value for SS = 0.000 < 0.05. 16 Dr. Said T. EL Hajjar

17. Multiple Regression Analysis Step2 : Continue / OK .We get the output: . 0 = . 0 + 769 454 . 0 456 TP PP SS Estimated Regression Line : Value of TP will increase, on average, by 0.769 unit for each 1 unit increase in the value of PP, net of the effects of changes due to SS score. Value of TP will decrease, on average, by 0.454 unit for each 1 unit increase in the value of SS, net of the effects of changes due to PP score. Moreover, there is sufficient evidence that overall PP and SS affects TP ( p-value for PP = 0.000 < 0.05 and p-value for SS = 0.000 < 0.05. 17 Dr. Said T. EL Hajjar

18. End Freedom is the first five minutes of your born. Afterwards, they decide your name, your nationality, your religion, your sect, . And you will spend your whole life struggling and defending stupidly about things you did not select. Ziad AL Rahbani THANK YOU 18 Dr. Said T. EL Hajjar