Impact of variables in the an in non linear equation?

[sujithkumar]

I am encountering a difficult(atleast to me) mathematical problem? I need to calculate the impact of a formulae on two sets of data for two different years

Consider for example I have a simple formulae A * B * C * D = F where A,B,C,D are 4 parameters that affect the value of F. Now I have a 2 sets of data for a year(2015) eg: A1 * B1 * C1 * D1 =F1 and A2 * B2 * C2 * D2 =F2 and another 3 sets of data for the year(2016) eg A3 * B3 * C3 * D3 =F3 and A4 * B4 * C4 * D4 =F4 and A6 * B6 * C6 * D6 =F6. Now the year 2015 total value is F1+F2 and for the year total value is F3+F4+F5 .

Now comes the question.I need to find out the impact of each parameter A,B,C,D on the change in the value across two years which is (F3+F4+F5) -(F1+F2) so that when I sum all those impacts I should be getting this difference value

impact of A +impact of B +impact of C +impact of D = (F3+F4+F5) -(F1+F2)

I am strugging on this problem please help

 

[jvicens]

Thank you for sharing your mathematical problem with us. I understand the importance of accurately calculating the impact of a formula on different sets of data. Based on the information you have provided, I have a few suggestions that may help you in solving this problem.

Firstly, I suggest breaking down the formula into smaller parts and analyzing the impact of each parameter separately. For example, you can calculate the impact of A by keeping all other parameters constant and varying the value of A in both sets of data. This will give you a clearer understanding of how A affects the overall value of F.

Similarly, you can repeat this process for the other parameters (B, C, and D) and compare the results for both sets of data. This will help you identify the differences and similarities in the impact of each parameter on the value of F.

Additionally, you can also plot the data for both years on a graph and visually analyze the changes in the value of F. This can help you determine the impact of each parameter on the overall change in the value of F.

Furthermore, you can use statistical methods such as regression analysis to quantify the impact of each parameter on the change in the value of F. This will provide you with a more precise and accurate result.

I hope these suggestions will help you in solving your problem. Remember to approach the problem systematically and break it down into smaller parts for a better understanding. Good luck!