Hypothesis Testing for Multiple Regression

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We want to estimate the price of houses in a given neighbourhood. We sample 9 houses and record the following output. Note that X3=1X_3=1 if the house has a pool and X3=0X_3=0 if it doesn't.


a) Predict the price of a 3000 sqft house built in 1995, with a pool.
b) Interpret the meaning of b3b_3.
c) Test the regression model at the 1% level of significance.
d) Test the square footage regression coefficient at the 1% level of significance.

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