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-B,+B₂X₂+BX+B₂X +u where Y-price of the house in $1,000, X, number of bedrooms, Xy square footage of living space, and X, number of miles from the beach. image 1 Taking a sample of 30 houses, the broker runs a multiple regression and gets the following results: 9 123.2+4.59x+0.125xy-6.04x4. 5103.2,5,-2.13, ,0.062, 6, 4.17, R2-047, and 2045 (adjusted). What is the approximate p-value associated with the software default hypothesis test for the significance of 7 Use the Z table to calculate the p-value. A. Ho: 0 HI: A, NOT 0 The test statistic is: 1.71 The critical value at a 0.05 (Using Dougherty A.2 table) is: 2.02 Using the 2 table, the p-value is: 0.0872 Fail to reject Ho NOT SIGNIFICANT. B. None of these answers are correct. C. Ho: 0 HI: , not 01 The test statistic is: 2.02 The critical value at a 0.05 (Using Dougherty A.2 table) is: +1.71 Using the 2 table, the p-value is: 0.0436 Reject Ho, Accept HIs NOT SIGNIFICANT

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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=B₁ + B₂X₂ +B₂X3+ B₂X
+u where Y = price of the house in $1,000s,
X, number of bedrooms,
X= square footage of living space, and
X, number of miles from the beach.
image 1
Taking a sample of 30 houses, the broker runs a multiple regression and gets the following results:
Y-123.2+4.59x2 +0.125xy-6.04x4.
511032,5,-2.13.0.062, 3, 4.17,
R²=0.47, and 2-0,45 (adjusted).
What is the approximate p-value associated with the software default hypothesis test for the significance of By?
Use the 2 table to calculate the p-value.
ⒸA. Ho: 0
HI:, NOT 0
The test statistic is: 1.71
The critical value at a 0.05 (Using Dougherty A.2 table) is: 2.02
Using the 2 table, the p-value is: 0.0872
Fail to reject Ho NOT SIGNIFICANT.
B. None of these answers are correct.
OCHO: B-0
HI: Bynot 01
The test statistic is: 2:02
The critical value at a=0.05 (Using Dougherty A.2 table) is: +1.71
Using the Z table, the p-value is: 0.0436
Reject Ho, Accept HINOT SIGNIFICANT
Transcribed Image Text: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=B₁ + B₂X₂ +B₂X3+ B₂X +u where Y = price of the house in $1,000s, X, number of bedrooms, X= square footage of living space, and X, number of miles from the beach. image 1 Taking a sample of 30 houses, the broker runs a multiple regression and gets the following results: Y-123.2+4.59x2 +0.125xy-6.04x4. 511032,5,-2.13.0.062, 3, 4.17, R²=0.47, and 2-0,45 (adjusted). What is the approximate p-value associated with the software default hypothesis test for the significance of By? Use the 2 table to calculate the p-value. ⒸA. Ho: 0 HI:, NOT 0 The test statistic is: 1.71 The critical value at a 0.05 (Using Dougherty A.2 table) is: 2.02 Using the 2 table, the p-value is: 0.0872 Fail to reject Ho NOT SIGNIFICANT. B. None of these answers are correct. OCHO: B-0 HI: Bynot 01 The test statistic is: 2:02 The critical value at a=0.05 (Using Dougherty A.2 table) is: +1.71 Using the Z table, the p-value is: 0.0436 Reject Ho, Accept HINOT SIGNIFICANT
O D. Ho: B3=0
H1: B3 not = 0
The test statistic is: 2.02
image 2
The critical value at a=0.05 (Using Dougherty A.2 table) is: +\- 1.706
Using the Z table, the p-value is: 0.0872
Fail to reject Ho => NOT SIGNIFICANT.
E. Ho: 63-0
H1: B3 not = 0
The test statistic is: 2.02
The critical value at a=0.05 (Using Dougherty A.2 table) is: +\- 1.71
Using the Z table, the p-value is: 0.0434
Reject Ho, Accept H1 => SIGNIFICANT.
Transcribed Image Text:O D. Ho: B3=0 H1: B3 not = 0 The test statistic is: 2.02 image 2 The critical value at a=0.05 (Using Dougherty A.2 table) is: +\- 1.706 Using the Z table, the p-value is: 0.0872 Fail to reject Ho => NOT SIGNIFICANT. E. Ho: 63-0 H1: B3 not = 0 The test statistic is: 2.02 The critical value at a=0.05 (Using Dougherty A.2 table) is: +\- 1.71 Using the Z table, the p-value is: 0.0434 Reject Ho, Accept H1 => SIGNIFICANT.
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