I am currently working on a statistic research. My topic is why are houses so ex

Question

I am currently working on a statistic research. My topic is why are houses so expensive in Los Angeles? I am basically trying to predict house prices using multivariable regression analysis. My dependent variable is: "house prices" and my independent variables are: house size, number of bedroom and bathroom, crime statistics, school quality statistics, household income level, house age, lot size, proximity to downtown, etc". I need to come up with a null hypothesis. What would be some good null hypotheses? Can someone give me examples?

Explanation / Answer

Since we have multiple independent variables and one dependent variable, we can simply write the null hypothesis as:

Ho: The model is not signifcant in predicting the house prices

In mathematical terms, It will be:

i = 0, i = 1, 2, 3, ....

Where i's are the coefficients of each independent variable.

The alternative hypotheses will be:

Ha: The model is signifcant in predicting the house prices

In mathematical terms, It will be:

At least one i 0, i = 1, 2, 3, ....

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