A2 Stats Chapter 1: Regression, Correlation and Hypothesis Testing

7 flashcards · Mathematics · by TheoTyson

1. What is the linear relationship for data modelled in the form y=axny = a x^ny=axn ?

   log y=log a+n log x\text{log} \, y = \text{log} \, a + n \, \text{log} \, xlogy=loga+nlogx

2. What is the linear relationship for data modelled in the form y=kbxy=kb^xy=kbx ?

   log y=log k+x log b\text{log} \, y = \text{log} \, k + x \, \text{log} \, blogy=logk+xlogb

3. What is the product moment correlation coefficient?

   It describes the linear correlation between two variables.

4. What is the PMCC notation?

   ρ\rhoρ for a population. rrr for a sample.

5. What do PMCC values of -1, 0, and +1 mean?

   -1 means a perfect negative linear correlation. 0 means there is no correlation. +1 means a perfect positive linear correlation.

6. What is the null hypothesis for a PMCC hypothesis test ?

   There is no linear correlation, H0:ρ=0\text{H}_0 : \rho = 0H0​:ρ=0 .

7. What is the alternative hypothesis for a PMCC hypothesis test?

   There is positive linear correlation, 0"> H1:ρ>0\text{H}_1 : \rho > 0H1​:ρ>0 . There is negative linear correlation, H1:ρ<0\text{H}_1 : \rho < 0H1​:ρ<0 . There is correlation, H1:p≠0\text{H}_1 : p \neq 0H1​:p=0 .