der the joint hypothesis Ho B2 = 0, B3 = 0 %3D The results of the restricted model are: Source | df Number of obs, = ES 1, Prob > F R-squared MS 392 390) - 878.83 Model Jt 1 16497.7598 390 18.7723941 7598 0.0000 %3D Residual EAWEE 0.6926 %3D Adi R-squared aulu6918 Total Lm23818.9935. 391 60.9181419 Root MSE - 4.3327 Coef. Std. Err. I P>|t| (95% Conf. Interval] wat. cons -.0076473 46.21652 .000258 .7986725 -29.65 0.000 57.87 0.000 -.0081545 44.64628 -.0071402 47.78677 Testing this hypothesis at 5% critical level, we conclude that:
der the joint hypothesis Ho B2 = 0, B3 = 0 %3D The results of the restricted model are: Source | df Number of obs, = ES 1, Prob > F R-squared MS 392 390) - 878.83 Model Jt 1 16497.7598 390 18.7723941 7598 0.0000 %3D Residual EAWEE 0.6926 %3D Adi R-squared aulu6918 Total Lm23818.9935. 391 60.9181419 Root MSE - 4.3327 Coef. Std. Err. I P>|t| (95% Conf. Interval] wat. cons -.0076473 46.21652 .000258 .7986725 -29.65 0.000 57.87 0.000 -.0081545 44.64628 -.0071402 47.78677 Testing this hypothesis at 5% critical level, we conclude that:
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.1: Modeling The Real World With Algebra
Problem 23E: Grade Point Average In many universities students are given grade points for each credit unit...
Related questions
Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
![Consider the joint hypothesis Ho : B2 = 0, 63 = 0
The results of the restricted model are:
Source I
df
Number of obs, =
EC 1,
Prob > F
R-squared
Adi R-squared ul6918
Root MSE
MS
Model Ju16497 7598
Residual E EYA
392
390) - 878.83
0.0000
0.6926
1
16497.7598
%3D
390 18.7723941
Total 23818.9935.
391 60.9181419
= 4.3327
Coef.
Std. Err.
P>|t|
[95% Conf. Interval]
wat.
0076473
46.21652
.000258
.7986725
-29.65
57.87
0.000
0.000
0081545
44.64628
0071402
47.78677
cons
Testing this hypothesis at 5% critical level, we conclude that:
The number of cylinders and engine size are jointly insignificant because the F-
stat is greater than the critical value.
The number of cylinders and engine size are jointly significant because the F-stat
is smaller than the critical value.
The number of cylinders and engine size are jointly significant because the F-stat
is greater than the critical value.
The number of cylinders and engine size are jointly insignificant because the F-
stat is smaller than the critical value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F922ce1f5-e3bc-4b2d-bca7-0a04ac4bed89%2F71be905f-1b14-4aa3-86ab-f34d45fdde4a%2Fxqnplcr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the joint hypothesis Ho : B2 = 0, 63 = 0
The results of the restricted model are:
Source I
df
Number of obs, =
EC 1,
Prob > F
R-squared
Adi R-squared ul6918
Root MSE
MS
Model Ju16497 7598
Residual E EYA
392
390) - 878.83
0.0000
0.6926
1
16497.7598
%3D
390 18.7723941
Total 23818.9935.
391 60.9181419
= 4.3327
Coef.
Std. Err.
P>|t|
[95% Conf. Interval]
wat.
0076473
46.21652
.000258
.7986725
-29.65
57.87
0.000
0.000
0081545
44.64628
0071402
47.78677
cons
Testing this hypothesis at 5% critical level, we conclude that:
The number of cylinders and engine size are jointly insignificant because the F-
stat is greater than the critical value.
The number of cylinders and engine size are jointly significant because the F-stat
is smaller than the critical value.
The number of cylinders and engine size are jointly significant because the F-stat
is greater than the critical value.
The number of cylinders and engine size are jointly insignificant because the F-
stat is smaller than the critical value.
![Consider a model of fuel efficiency of cars that relates miles per gallon
(mpg) to the number of cylinders (cyl), engine size (eng) and weight (wgt):
mpg = B, + B2cyl + Bzeng + B4wgt + e
%3D
Note: Miles per gallon (mpg), a measure of fuel efficiency, is the average number
of miles a car can travel on one gallon of fuel. Cars that are fuel efficient can
achieve higher miles per gallon. Cars that have a larger number of cylinders
usually have larger engines and are heavier.
The estimated results are below:
Source |
SS
df
MS
Number of obs
EC 3,
Prob > F
R-squared
Adj R-squared ab970
Root MSE
392
388) = 300.76
0.0000
0.6993
Model J16656.4443
Residual 7162.54916
5552.1481
388 18.4601782
Total J23818.9935
391
60.9181419
4.2965
Coef.
Std. Err.
P>|t|
[95% Conf. Interval]
syl
eng
wat
_cons
.2677968
-.012674
-.0057079
44.37096
.4130673
.0082501
0007139
1.480685
-0.65
-1.54
-8.00
29.97
0.517
0.125
0.000
0.000
-1.079927
.0288944
0071115
41.45979
.5443336
.0035465
.0043043
47.28213
Consider the joint hypothesis Ho: 2 = 0, 63 = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F922ce1f5-e3bc-4b2d-bca7-0a04ac4bed89%2F71be905f-1b14-4aa3-86ab-f34d45fdde4a%2Focbf3jm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a model of fuel efficiency of cars that relates miles per gallon
(mpg) to the number of cylinders (cyl), engine size (eng) and weight (wgt):
mpg = B, + B2cyl + Bzeng + B4wgt + e
%3D
Note: Miles per gallon (mpg), a measure of fuel efficiency, is the average number
of miles a car can travel on one gallon of fuel. Cars that are fuel efficient can
achieve higher miles per gallon. Cars that have a larger number of cylinders
usually have larger engines and are heavier.
The estimated results are below:
Source |
SS
df
MS
Number of obs
EC 3,
Prob > F
R-squared
Adj R-squared ab970
Root MSE
392
388) = 300.76
0.0000
0.6993
Model J16656.4443
Residual 7162.54916
5552.1481
388 18.4601782
Total J23818.9935
391
60.9181419
4.2965
Coef.
Std. Err.
P>|t|
[95% Conf. Interval]
syl
eng
wat
_cons
.2677968
-.012674
-.0057079
44.37096
.4130673
.0082501
0007139
1.480685
-0.65
-1.54
-8.00
29.97
0.517
0.125
0.000
0.000
-1.079927
.0288944
0071115
41.45979
.5443336
.0035465
.0043043
47.28213
Consider the joint hypothesis Ho: 2 = 0, 63 = 0
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
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.Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt