Look at the following regression table where the dependent variable is the demand for illegal massage services in a city in the United States. Specifically,  the dependent variable is the number of customers per hour (Models 1 and 2) or per day (Models 3 and 4). (a) Explain why the coefficient for Population/1,000 in Model 2 is very different from the one in Model 4? (b) Can you reject H0 in Model 1 if H0 : βP opulation/1,000 = 0.01, H1 : βPopulation/1,000 6= 0.01, and α = 0.01?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 33CR
icon
Related questions
icon
Concept explainers
Question

Look at the following regression table where the dependent variable is the demand for illegal massage services in a city in the United States. Specifically,  the dependent variable is the number of customers per hour (Models 1 and 2) or per day (Models 3 and 4).

(a) Explain why the coefficient for Population/1,000 in Model 2 is very different from the one in Model 4?
(b) Can you reject H0 in Model 1 if H0 : βP opulation/1,000 = 0.01, H1 : βPopulation/1,000 6= 0.01, and α = 0.01?

Model 1 Predicting
Hourly Demand
Model 2 Predicting
Hourly Demand
Model 3 Predicting
Daily Demand
Model 4 Predicting
Daily Demand
Population/1,000
Percent Unoccupied Housing
0.03 (0.01)**
-0.04 (0.02)*
-0.01 (0.00)**
0.04 (0.01)*
-0.05 (0.01)***
-0.01 (0.00)**
0.43 (0.13)***
-0.55 (0.23)**
-0.22 (0.20)*
***
0.53 (0.13)*
-0.67 (0.21)*
-0.18 (0.08)**
\***
**
Percent Renters
Number of Reviews
-1.06 (0.25)***
-1.02 (0.24)***
0.62 (0.34)*
0.78 (0.33)*
-7.80 (3.29)**
-10.53 (2.93)***
3.15 (4.27)
-3.48 (2.05)*
-0.52 (2.74)*
2.38 (2.74)
-0.64 (0.28)*
-12.92 (2.89)*
\***
-0.87 (0.25)***
0.37 (0.37)
-0.28 (0.17)*
-0.04 (0.23)*
0.17 (0.23)
-12.30 (2.81)***
7.28 (4.12)*
9.32 (3.92)*
-0.58 (2.26)***
1.68 (1.87)
-6.30 (1.98)**
2
Star Percent
Cash Only
Total Cost/10
Worker Diversity
Number of Reviews*Cash Only
-0.04 (0.19)**
0.12 (0.15)
-0.52 (0.16)***
*
Hour
-0.08 (0.14)
-0.33 (0.14)**
-0.08 (0.14)
-0.33 (0.14)**
-0.37 (0.15)**
-0.30 (0.17)*
0.56 (0.26)*
1.44 (0.27)***
1.22 (0.24)***
1.03 (0.28)***
1.06 (0.29)*
0.69 (0.26)***
0.44 (0.14)***
1.71 (0.62)*
2
3
-0.36 (0.15)**
-0.30 (0.17)*
0.57 (0.26)*
1.44 (0.27)***
1.22 (0.25)***
1.03 (0.28)***
1.07 (0.29)***
0.69 (0.26)***
0.44 (0.14)***
2.02 (0.79)***
384
4
5
*
7
8
9.
10
***
11
12
26.17 (7.52)***
384
Constant
29.89 (9.41)***
***
N
384
384
R2
.34
.37
48
.60
Note. Coefficients from ordinary least squares regressions are reported. Robust standard errors are in parentheses.
*p < .01. **p < .05. *p < .10.
***
Transcribed Image Text:Model 1 Predicting Hourly Demand Model 2 Predicting Hourly Demand Model 3 Predicting Daily Demand Model 4 Predicting Daily Demand Population/1,000 Percent Unoccupied Housing 0.03 (0.01)** -0.04 (0.02)* -0.01 (0.00)** 0.04 (0.01)* -0.05 (0.01)*** -0.01 (0.00)** 0.43 (0.13)*** -0.55 (0.23)** -0.22 (0.20)* *** 0.53 (0.13)* -0.67 (0.21)* -0.18 (0.08)** \*** ** Percent Renters Number of Reviews -1.06 (0.25)*** -1.02 (0.24)*** 0.62 (0.34)* 0.78 (0.33)* -7.80 (3.29)** -10.53 (2.93)*** 3.15 (4.27) -3.48 (2.05)* -0.52 (2.74)* 2.38 (2.74) -0.64 (0.28)* -12.92 (2.89)* \*** -0.87 (0.25)*** 0.37 (0.37) -0.28 (0.17)* -0.04 (0.23)* 0.17 (0.23) -12.30 (2.81)*** 7.28 (4.12)* 9.32 (3.92)* -0.58 (2.26)*** 1.68 (1.87) -6.30 (1.98)** 2 Star Percent Cash Only Total Cost/10 Worker Diversity Number of Reviews*Cash Only -0.04 (0.19)** 0.12 (0.15) -0.52 (0.16)*** * Hour -0.08 (0.14) -0.33 (0.14)** -0.08 (0.14) -0.33 (0.14)** -0.37 (0.15)** -0.30 (0.17)* 0.56 (0.26)* 1.44 (0.27)*** 1.22 (0.24)*** 1.03 (0.28)*** 1.06 (0.29)* 0.69 (0.26)*** 0.44 (0.14)*** 1.71 (0.62)* 2 3 -0.36 (0.15)** -0.30 (0.17)* 0.57 (0.26)* 1.44 (0.27)*** 1.22 (0.25)*** 1.03 (0.28)*** 1.07 (0.29)*** 0.69 (0.26)*** 0.44 (0.14)*** 2.02 (0.79)*** 384 4 5 * 7 8 9. 10 *** 11 12 26.17 (7.52)*** 384 Constant 29.89 (9.41)*** *** N 384 384 R2 .34 .37 48 .60 Note. Coefficients from ordinary least squares regressions are reported. Robust standard errors are in parentheses. *p < .01. **p < .05. *p < .10. ***
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,