Interpretation of Regression Analysis Metrics: R-Value, R-Squared, P-Value

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Assignment Task

R Value interpretation if the value of R is near to 1 it shows a very strong relation between the two variables.

In this case the R value is very near to one this means that if infosys spends more on employee benefits then it will be able to  fetch more sales.

R square is a statistical measure in a regression model that determines the proportion of variance in the dependant variable that can be explained by the independent variable. Thus, here in this case as the value of R square is high it is near to 1 showing that the two variables are quite dependant on each other.

StatisticsMultiple   R0.64759476
Square 0.419378985
Adjusted R Square 0.346801358
 Standard Error 6060.954418
Observations 10

 

Interpretation of the P-value     

  •  When the P - value is less than 0.05, then we reject the null hypothesis - (lower the better)  
  • Sales are not dependent on the promotional expenses of company Total assets are not explained by the employee benefit expenses 
  • Sales are dependent on the promotional expenses of companyTotal assets are explained by the employee benefit expenses

Coefficient of EBE(beta) - The sign of the coefficient determines whether there is a positive or a negative relation between the dependant and independent variable and in this case it is positive so the correlation is also positive that means that if infoysys spends on EBE the total assets will be 28.85 times or else it will only be 3811 and with EBE expenses it will be 28.85 times.

Intercept(alpha)- The sign of the coefficient determines whether there is a positive or a negative relation between the dependant and independent variable and in this case it is positive.

P-value greater than 0.05 is statistically insignificant and indicates strong evidence for null hypothesis but in this case the P-value is less than 0.05,then we can reject the null hypothesis .Hence, we can safely say that the hypothesis is true and total asset can be explained by employee benefit expenses is true.

It means that even if we spend 0 on the dependant variable the amount of independent variable will be 3811 in this case if we spend 0 on EBE still infosys will make total assets equal to 3811.

This Mathematics has been solved by our PhD Experts at My Uni Paper.

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