Year 2 Stats A Level Maths Question

https://www.quora.com/profile/Bravewarrior/p-155258163
Here is the question with its solution. I am stuck on part d. I don't know how they got their values for a and b? Some help would be greatly appreciated!

(edited 1 month ago)

Reply 1

mqb2766

21

Original post by pigeonwarrior

https://www.quora.com/profile/Bravewarrior/p-155258163
Here is the question with its solution. I am stuck on part d. I don't know how they got their values for a and b? And is it in the form y=ax^n or y=kb^x? Some help would be greatly appreciated!

Presuming the model is of the form
P = ab^T
so when you take logs of the model and data, you should be able to relate a and b (or log(a) and log(b)) to the coefficients of a standard linear model between T and log(P)?

Reply 2

pigeonwarrior

OP

11

Original post by mqb2766

Presuming the model is of the form
P = ab^T
so when you take logs of the model and data, you should be able to relate a and b (or log(a) and log(b)) to the coefficients of a standard linear model between T and log(P)?

After applying logs to both sides of P=ab^T I got logP= loga + Tlogb. In terms of comparing coefficients, I guess logb is the gradient and loga is the y-intercept? After assuming the linear model is logP= mT + C?

(edited 1 month ago)

Reply 3

mqb2766

21

Original post by pigeonwarrior

After applying logs to both sides of P=ab^T I got logP= loga + Tlogb. In terms of comparing coefficients, I guess logb is the gradient and loga is the y-intercept? After assuming the linear model is logP= mT + C?

Thats right.