Regression, correlation and Hypothesis Testing Flashcards
- Understand exponential models in bivariate data. - Use a change of variable to estimate coefficients in an exponential model - Understand and calculate the product moment correlation coefficient - Carry out hypothesis test for zero correlation. (1 cards)
1
Q
Exponential Models 1: (Fundamentals)
What are the 2 equations for exponential models and explain which is which?
A
For data that can be modelled by a linear relationship by a relationship of the form y=ax^n, you need t code the data using Y=log(y) and X=log(x) to obtain a linear relationship.
- If y=ax^n for constants a and n then log(y)=log(a)+nlog(x)
For data that can be modelled by an exponential relationship of the form y=ab^x, you need to code the data using Y=log(y) and X=x to obtain a linear relationship.
- If y=kb^x for constants k and b then log(y)=log(k)+xlog(b)
