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A real estate broker is interested in identifying the factors that determine the price of a house.She wants to run the following regression: Y = β0 + β1X1 + β2X2 + β3X3 + ε where Y = price of the house in $1,000s,X1 = number of bedrooms,X2 = square footage of living space,and X3 = number of miles from the beach.Taking a sample of 30 houses,the broker runs a multiple regression and gets the following results:
= 123.2 + 4.59x1 + 0.125x2 - 6.04x3,
= 103.2,
= 2.13,
= 0.062,
= 4.17,R2 = 0.47,and
= 0.45 (adjusted) .
-What should the null and alternative hypotheses be for β1?
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