# Thread: Hypothesis test involving regression coefficient

1. ## Hypothesis test involving regression coefficient

I'm working on a problem and was hoping I could get either confirmation that I'm doing it correctly, or help in learning the correct way. I used Excel to calculate a stock's Beta, comparing percentage changes in the stock price to that of the S&P 500. I am now tasked with implanting a hypothesis test testing whether the population Beta is greater than 1. My understanding of how to work this problem is that I will subtract 1 from my regression coefficient, and then divide that by the standard error of the regression coefficient to arrive at my t-statistic. I will then use a one tail t-test to arrive at my p-value. Is this correct? If not, how would I go about conducting this test? Thank you very much for your time and help.

2. ## Re: Hypothesis test involving regression coefficient

Hey Ironlionzion.

What is this Beta? Is this some kind of mean (Since you mention a t-test, this is used primarily for means)?

The idea that you have for getting a statistic and a p-value for the null hypothesis is the way to do it, but the only thing that I am not clear on is what this Beta actually is and how its calculated from your sample.

3. ## Re: Hypothesis test involving regression coefficient

Chiro,

Thank you for your reply. Beta is just my regression coefficient from my regression equation. It measures a stock's volatility versus the market. So, basically I'm being tasked with testing whether the regression coefficient for my population would be greater than 1. Thank you again for your time and help.

4. ## Re: Hypothesis test involving regression coefficient

It will depend on your model and your data, but essentially the whole thing boils down to what the distribution of your Beta's are.

I did a quick search, and the following seems like a good place to start reading: