He has a sample of 3 companies,each company has 3(yearly) values so total 9 values and he wants to find the correlation with 9 corresponding values, I am not in liberty to discuss his data so just say he has 9 x and 9 y values(and this is a dissertation paper).

His 3 hypothesis show that there is no correlation, but r shows a high correlation( due to outliers and small sample size I guess).

I told him politely that your data cant support the results you have,like I dont feel like we can draw conclusion on a real life phenomena on just 9 values.

He wants me to use 5% level of significance and use pearsons correlation.

So my question being, is it the correct method that he is following?what is the statistical take on this so I can talk him into getting more data?

Though it is not my problem , but I feel like I should tell him before hand.

Thanks