Using column (4), is the overall effect of size on price statistically significant? How would you go about testing this hypothesis? Match each question to the correct option. A. 3.84 v What is the null hypothesis for this test? B. Ho: B1 + B2 = 0 v What is the alternative hypothesis for this test? v What is the appropriate test? C. Hoi B1=0 What is the appropriate critical value? Assume a 5% level of significance. D. H1: At least one of ß1 and/or B2#0 E. 1.96 F. H1: B1#B2#0 G. Ho: B1=B2=0 H. 3.00 1. Ho: At least one of ß1 and/or B2#0 J. H1: B1#0

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 41RE: For the following exercises, consider the data in Table 5, which shows the percent of unemployed in...
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QUESTION 3
Using column (4), is the overall effect of size on price statistically significant? How would you go about testing this hypothesis? Match each question to the correct option.
A.
3.84
What is the null hypothesis for this test?
B. Ho: B1 + B2 = 0
What is the alternative hypothesis for this test?
C. Ho: B1=0
What is the appropriate test?
D. H1: At least one of B1 and/or B2 #0
What is the appropriate critical value? Assume a 5% level of significance.
E. 1.96
F.
H1: B1#B2#0
G. Ho: B1=B2 = 0
Н. 3.00
I.
Ho: At least one of B1 and/or Bz#0
J. H1: B1#0
K. t-test
L. 1.64
М. 2.30
N. F-test
Transcribed Image Text:QUESTION 3 Using column (4), is the overall effect of size on price statistically significant? How would you go about testing this hypothesis? Match each question to the correct option. A. 3.84 What is the null hypothesis for this test? B. Ho: B1 + B2 = 0 What is the alternative hypothesis for this test? C. Ho: B1=0 What is the appropriate test? D. H1: At least one of B1 and/or B2 #0 What is the appropriate critical value? Assume a 5% level of significance. E. 1.96 F. H1: B1#B2#0 G. Ho: B1=B2 = 0 Н. 3.00 I. Ho: At least one of B1 and/or Bz#0 J. H1: B1#0 K. t-test L. 1.64 М. 2.30 N. F-test
QUESTION 1
Suppose a researcher collects data on houses that have been sold in a particular neighbourhood over the past year, and obtains the regressions results in the table shown below. This table is
used for Questions 1-6.
Dependent variable: In(Price)
Regressor
(1)
(2)
(3)
(4)
(5)
0.00042
(0.000038)
Size
In(Size)
0.57
(2.03)
0.69
0.68
0.69
(0.055)
(0.054)
(0.087)
In(Size)²
0.0078
(0.14)
Bedrooms
0.0036
(0.037)
Рol
0.082
0.071
0.071
0.071
0.071
(0.032)
(0.034)
(0.034)
(0.036)
(0.035)
0.037
0.027
0.026
0.027
0.027
(0.030)
View
(0.029)
(0.028)
(0.026)
(0.029)
Pool x View
0.0022
(0.10)
0.12
(0.035)
Condition
0.13
0.12
0.12
(0.035)
0.12
(0.045)
(0.035)
(0.036)
6.63
(0.53)
Intercept
10.97
6.60
7.02
6.60
(0.069)
(0.39)
(7.50)
(0.40)
Summary Statistics
SER
0.102
0.098
0.099
0.099
0.099
R?
0.72
0.74
0.73
0.73
0.73
Variable definitions: Price = sale price ($); Size = house size (in square feet); Bedrooms = number of bedrooms; Pool = binary
variable (1 if house has a swimming pool, 0 otherwise); View = binary variable (1 if house has a nice view, 0 otherwise); Condition =
binary variable (1 if real estate agent reports house is in excellent condition, 0 otherwise).
A family purchases a 2000 square foot home and plans to make extensions totalling 500 square feet. The house currently has a pool, and a real estate agent has reported that the house is in
excellent condition. However, the house does not have a view, and this will not change as a result of the extensions.
According to the results in column (1), what is the expected DOLLAR increase in the price of the home due to the planned extensions? (Report your answer to the nearest dollar and do
not include any commas or $ signs.)
Transcribed Image Text:QUESTION 1 Suppose a researcher collects data on houses that have been sold in a particular neighbourhood over the past year, and obtains the regressions results in the table shown below. This table is used for Questions 1-6. Dependent variable: In(Price) Regressor (1) (2) (3) (4) (5) 0.00042 (0.000038) Size In(Size) 0.57 (2.03) 0.69 0.68 0.69 (0.055) (0.054) (0.087) In(Size)² 0.0078 (0.14) Bedrooms 0.0036 (0.037) Рol 0.082 0.071 0.071 0.071 0.071 (0.032) (0.034) (0.034) (0.036) (0.035) 0.037 0.027 0.026 0.027 0.027 (0.030) View (0.029) (0.028) (0.026) (0.029) Pool x View 0.0022 (0.10) 0.12 (0.035) Condition 0.13 0.12 0.12 (0.035) 0.12 (0.045) (0.035) (0.036) 6.63 (0.53) Intercept 10.97 6.60 7.02 6.60 (0.069) (0.39) (7.50) (0.40) Summary Statistics SER 0.102 0.098 0.099 0.099 0.099 R? 0.72 0.74 0.73 0.73 0.73 Variable definitions: Price = sale price ($); Size = house size (in square feet); Bedrooms = number of bedrooms; Pool = binary variable (1 if house has a swimming pool, 0 otherwise); View = binary variable (1 if house has a nice view, 0 otherwise); Condition = binary variable (1 if real estate agent reports house is in excellent condition, 0 otherwise). A family purchases a 2000 square foot home and plans to make extensions totalling 500 square feet. The house currently has a pool, and a real estate agent has reported that the house is in excellent condition. However, the house does not have a view, and this will not change as a result of the extensions. According to the results in column (1), what is the expected DOLLAR increase in the price of the home due to the planned extensions? (Report your answer to the nearest dollar and do not include any commas or $ signs.)
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