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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 113

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
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: THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: 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 = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + ε where Y = price of the house in $1,000s,X<sub>1</sub> = number of bedrooms,X<sub>2</sub><sub> </sub>= square footage of living space,and X<sub>3</sub><sub> </sub>= 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 + 4.59x<sub>1</sub> + 0.125x<sub>2</sub> - 6.04x<sub>3</sub>,    = 103.2,    = 2.13,    = 0.062,    = 4.17,R<sup>2</sup> = 0.47,and    = 0.45 (adjusted) . -What should the null and alternative hypotheses be for β<sub>3</sub>? A) H<sub>0</sub> : β<sub>3</sub><sub> </sub>= 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>> 0 B) H<sub>0</sub> : β<sub>3</sub><sub> </sub>= 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>< 0 C) H<sub>0</sub> : β<sub>3</sub> ≠ 0,<sub> </sub>H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>= 0 D) H<sub>0</sub> : β<sub>3</sub><sub> </sub>< 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub> > 0
= 123.2 + 4.59x1 + 0.125x2 - 6.04x3, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: 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 = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + ε where Y = price of the house in $1,000s,X<sub>1</sub> = number of bedrooms,X<sub>2</sub><sub> </sub>= square footage of living space,and X<sub>3</sub><sub> </sub>= 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 + 4.59x<sub>1</sub> + 0.125x<sub>2</sub> - 6.04x<sub>3</sub>,    = 103.2,    = 2.13,    = 0.062,    = 4.17,R<sup>2</sup> = 0.47,and    = 0.45 (adjusted) . -What should the null and alternative hypotheses be for β<sub>3</sub>? A) H<sub>0</sub> : β<sub>3</sub><sub> </sub>= 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>> 0 B) H<sub>0</sub> : β<sub>3</sub><sub> </sub>= 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>< 0 C) H<sub>0</sub> : β<sub>3</sub> ≠ 0,<sub> </sub>H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>= 0 D) H<sub>0</sub> : β<sub>3</sub><sub> </sub>< 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub> > 0
= 103.2, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: 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 = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + ε where Y = price of the house in $1,000s,X<sub>1</sub> = number of bedrooms,X<sub>2</sub><sub> </sub>= square footage of living space,and X<sub>3</sub><sub> </sub>= 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 + 4.59x<sub>1</sub> + 0.125x<sub>2</sub> - 6.04x<sub>3</sub>,    = 103.2,    = 2.13,    = 0.062,    = 4.17,R<sup>2</sup> = 0.47,and    = 0.45 (adjusted) . -What should the null and alternative hypotheses be for β<sub>3</sub>? A) H<sub>0</sub> : β<sub>3</sub><sub> </sub>= 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>> 0 B) H<sub>0</sub> : β<sub>3</sub><sub> </sub>= 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>< 0 C) H<sub>0</sub> : β<sub>3</sub> ≠ 0,<sub> </sub>H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>= 0 D) H<sub>0</sub> : β<sub>3</sub><sub> </sub>< 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub> > 0
= 2.13, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: 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 = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + ε where Y = price of the house in $1,000s,X<sub>1</sub> = number of bedrooms,X<sub>2</sub><sub> </sub>= square footage of living space,and X<sub>3</sub><sub> </sub>= 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 + 4.59x<sub>1</sub> + 0.125x<sub>2</sub> - 6.04x<sub>3</sub>,    = 103.2,    = 2.13,    = 0.062,    = 4.17,R<sup>2</sup> = 0.47,and    = 0.45 (adjusted) . -What should the null and alternative hypotheses be for β<sub>3</sub>? A) H<sub>0</sub> : β<sub>3</sub><sub> </sub>= 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>> 0 B) H<sub>0</sub> : β<sub>3</sub><sub> </sub>= 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>< 0 C) H<sub>0</sub> : β<sub>3</sub> ≠ 0,<sub> </sub>H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>= 0 D) H<sub>0</sub> : β<sub>3</sub><sub> </sub>< 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub> > 0
= 0.062, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: 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 = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + ε where Y = price of the house in $1,000s,X<sub>1</sub> = number of bedrooms,X<sub>2</sub><sub> </sub>= square footage of living space,and X<sub>3</sub><sub> </sub>= 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 + 4.59x<sub>1</sub> + 0.125x<sub>2</sub> - 6.04x<sub>3</sub>,    = 103.2,    = 2.13,    = 0.062,    = 4.17,R<sup>2</sup> = 0.47,and    = 0.45 (adjusted) . -What should the null and alternative hypotheses be for β<sub>3</sub>? A) H<sub>0</sub> : β<sub>3</sub><sub> </sub>= 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>> 0 B) H<sub>0</sub> : β<sub>3</sub><sub> </sub>= 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>< 0 C) H<sub>0</sub> : β<sub>3</sub> ≠ 0,<sub> </sub>H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>= 0 D) H<sub>0</sub> : β<sub>3</sub><sub> </sub>< 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub> > 0
= 4.17,R2 = 0.47,and THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: 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 = β<sub>0</sub> + β<sub>1</sub>X<sub>1</sub> + β<sub>2</sub>X<sub>2</sub> + β<sub>3</sub>X<sub>3</sub> + ε where Y = price of the house in $1,000s,X<sub>1</sub> = number of bedrooms,X<sub>2</sub><sub> </sub>= square footage of living space,and X<sub>3</sub><sub> </sub>= 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 + 4.59x<sub>1</sub> + 0.125x<sub>2</sub> - 6.04x<sub>3</sub>,    = 103.2,    = 2.13,    = 0.062,    = 4.17,R<sup>2</sup> = 0.47,and    = 0.45 (adjusted) . -What should the null and alternative hypotheses be for β<sub>3</sub>? A) H<sub>0</sub> : β<sub>3</sub><sub> </sub>= 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>> 0 B) H<sub>0</sub> : β<sub>3</sub><sub> </sub>= 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>< 0 C) H<sub>0</sub> : β<sub>3</sub> ≠ 0,<sub> </sub>H<sub>1 </sub>:<sub> </sub>β<sub>3</sub><sub> </sub>= 0 D) H<sub>0</sub> : β<sub>3</sub><sub> </sub>< 0,H<sub>1 </sub>:<sub> </sub>β<sub>3</sub> > 0
= 0.45 (adjusted) .
-What should the null and alternative hypotheses be for β3?


Definitions:

Root Diameter

The diameter of a gear or screw measured at the base of the teeth or threads, where the material is the thickest.

Bevel Gears

Gears with intersecting shafts and conically shaped teeth that are used to change the axis of rotation in machinery.

Intersecting Axes

The point or line where two or more axes meet or cross each other.

Inside Diameter

The linear measurement of the interior of a cylinder or tube from one side to the opposing side.

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