logWage = B1 + B₂ educ + €, where . 1. logWage means the log of yearly wage measured in dollars. 2. educ means years of education (schooling) The regression output is given below: reg logwage educ Source | SS df MS Number of obs = 100 F(2, 97) = 97.20 Model 0.250000 1 .246632 Prob > F = 0.0000 Residual | 0.250000 98 .002537 R-squared = 0.5000 Adj R-squared 0.4900 Total | 20000.00 99 200.00 Root MSE = 0.0503 logwage | Coef. Std. Err. t P>|t| [95% Conf. Interval] educ _cons | 0.40000 5.00000 0.200000 2.00 0.050 0.0000000 0.800000 0.100000 10.00 0.000 4.8000000 5.200000 Question 5. The estimated confidence interval for ẞ2 at 95% confidence level is [0.00, 0.80]. Based on this estimate, which of the following statements is FALSE: (a) We can reject the hypothesis Ho: ẞ2 = 1 versus Ho: ẞ2 1 at 5% significant level. (b) The p-value for the hypothesis testing of Ho: ẞ2 (c) The estimate for 2 is the center of the interval. = 0.80 versus Ho ẞ2 0.80 is 5%. (d) We cannot reject the hypothesis Hoẞ2 = 0.1 versus Ho ẞ2 0.1 at 5% significant level. (e) The true parameter 32 lies in the interval [0.00, 0.80] with probability 95%.
logWage = B1 + B₂ educ + €, where . 1. logWage means the log of yearly wage measured in dollars. 2. educ means years of education (schooling) The regression output is given below: reg logwage educ Source | SS df MS Number of obs = 100 F(2, 97) = 97.20 Model 0.250000 1 .246632 Prob > F = 0.0000 Residual | 0.250000 98 .002537 R-squared = 0.5000 Adj R-squared 0.4900 Total | 20000.00 99 200.00 Root MSE = 0.0503 logwage | Coef. Std. Err. t P>|t| [95% Conf. Interval] educ _cons | 0.40000 5.00000 0.200000 2.00 0.050 0.0000000 0.800000 0.100000 10.00 0.000 4.8000000 5.200000 Question 5. The estimated confidence interval for ẞ2 at 95% confidence level is [0.00, 0.80]. Based on this estimate, which of the following statements is FALSE: (a) We can reject the hypothesis Ho: ẞ2 = 1 versus Ho: ẞ2 1 at 5% significant level. (b) The p-value for the hypothesis testing of Ho: ẞ2 (c) The estimate for 2 is the center of the interval. = 0.80 versus Ho ẞ2 0.80 is 5%. (d) We cannot reject the hypothesis Hoẞ2 = 0.1 versus Ho ẞ2 0.1 at 5% significant level. (e) The true parameter 32 lies in the interval [0.00, 0.80] with probability 95%.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![logWage = B1 + B₂ educ + €, where
.
1. logWage means the log of yearly wage measured in dollars.
2. educ means years of education (schooling)
The regression output is given below:
reg logwage educ
Source |
SS
df
MS
Number of obs
=
100
F(2, 97)
=
97.20
Model
0.250000
1
.246632
Prob > F
=
0.0000
Residual | 0.250000
98
.002537
R-squared
=
0.5000
Adj R-squared
0.4900
Total |
20000.00
99
200.00
Root MSE
=
0.0503
logwage |
Coef.
Std. Err.
t
P>|t|
[95% Conf. Interval]
educ
_cons |
0.40000
5.00000
0.200000
2.00 0.050
0.0000000
0.800000
0.100000
10.00 0.000
4.8000000
5.200000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6035f1a2-2c03-490a-9469-88f7b64e730f%2F85c554dd-f09d-4413-8dc5-c76e4a14382f%2Fab48jb56_processed.png&w=3840&q=75)
Transcribed Image Text:logWage = B1 + B₂ educ + €, where
.
1. logWage means the log of yearly wage measured in dollars.
2. educ means years of education (schooling)
The regression output is given below:
reg logwage educ
Source |
SS
df
MS
Number of obs
=
100
F(2, 97)
=
97.20
Model
0.250000
1
.246632
Prob > F
=
0.0000
Residual | 0.250000
98
.002537
R-squared
=
0.5000
Adj R-squared
0.4900
Total |
20000.00
99
200.00
Root MSE
=
0.0503
logwage |
Coef.
Std. Err.
t
P>|t|
[95% Conf. Interval]
educ
_cons |
0.40000
5.00000
0.200000
2.00 0.050
0.0000000
0.800000
0.100000
10.00 0.000
4.8000000
5.200000
![Question 5. The estimated confidence interval for ẞ2 at 95% confidence level is [0.00, 0.80].
Based on this estimate, which of the following statements is FALSE:
(a) We can reject the hypothesis Ho: ẞ2 = 1 versus Ho: ẞ2 1 at 5% significant level.
(b) The p-value for the hypothesis testing of Ho: ẞ2
(c) The estimate for 2 is the center of the interval.
=
0.80 versus Ho ẞ2 0.80 is 5%.
(d) We cannot reject the hypothesis Hoẞ2 = 0.1 versus Ho ẞ2 0.1 at 5% significant level.
(e) The true parameter 32 lies in the interval [0.00, 0.80] with probability 95%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6035f1a2-2c03-490a-9469-88f7b64e730f%2F85c554dd-f09d-4413-8dc5-c76e4a14382f%2Fo88p2fe_processed.png&w=3840&q=75)
Transcribed Image Text:Question 5. The estimated confidence interval for ẞ2 at 95% confidence level is [0.00, 0.80].
Based on this estimate, which of the following statements is FALSE:
(a) We can reject the hypothesis Ho: ẞ2 = 1 versus Ho: ẞ2 1 at 5% significant level.
(b) The p-value for the hypothesis testing of Ho: ẞ2
(c) The estimate for 2 is the center of the interval.
=
0.80 versus Ho ẞ2 0.80 is 5%.
(d) We cannot reject the hypothesis Hoẞ2 = 0.1 versus Ho ẞ2 0.1 at 5% significant level.
(e) The true parameter 32 lies in the interval [0.00, 0.80] with probability 95%.
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