Data was collected on 54 observations on a response of interest, y, and four potential predictor variables x1, x2, x3, and x4. The output from regression analyses of the data is attached to the end of the page. f) Using the regression sums of squares information, test the null hypothesis H0:b2 = b4 = 0 for the full model. (Calculate an F statistic, obtain a tabled F value, and report the conclusion of your test, use a = .05).
Data was collected on 54 observations on a response of interest, y, and four potential predictor variables x1, x2, x3, and x4. The output from regression analyses of the data is attached to the end of the page. f) Using the regression sums of squares information, test the null hypothesis H0:b2 = b4 = 0 for the full model. (Calculate an F statistic, obtain a tabled F value, and report the conclusion of your test, use a = .05).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
Related questions
Question
- Data was collected on 54 observations on a response of interest, y, and four potential predictor variables x1, x2, x3, and x4. The output from regression analyses of the data is attached to the end of the page. f) Using the regression sums of squares information, test the null hypothesis H0:b2 = b4 = 0 for the full model. (Calculate an F statistic, obtain a tabled F value, and report the conclusion of your test, use a = .05).
Transcribed Image Text:The REG Procedure
4
Results for the best subsets regression analysis
R-Square Selection Method
Root
Number in
Model R-Square C(p) MSE
1 0.5259 757.7545 0.19035
1 0.4414 901.7010 0.20662
1 0.3447 1066.354 0.22378
0.1257 1439.527 0.25849
1
Dependent Variable: y
3
0.9712
0.8758 165.5890 0.09935
3
3
0.7215 428.5088 0.14878
3 0.6449 558.9234 0.16799
2 0.8049 284.3219 0.12329
-227.5857
-202.2469
2
0.6847 489.1148 0.15673
x2 x3
x3 x4
x1 x3
2 0.6521 544.6919 0.16464 -197.0205
0.6440 558.4141 0.16654 -195.8044 x2 x4
2
BIC Variables in Model
-180.6717 x4
-171.8944 x3
x2
x3
x1, x3
x2, x4
-163.3427 x2
-147.8645 x1
3.0002 0.04781 -321.7335 x1 x2 x3
-250.6043 x2 x3 x4
-208.5846 x1 x3 x4
-195.7567 x1 x2 x4
x1, x2, x3
x1, x2, x4
x1, x2, x3, x4
0.9712 5.0000 0.04830 -319.5296 x1 x2 x3 x4
Results from several models to predict y using various combinations of x variables
Terms in model
SSRegression
SSE or SSResidual
1.36979
1.75385
2.59127
2.55926
3.85947
2.56274
3.85947
2.60397
2.21991
1.38250
1.41450
0.11430
1.41103
0.11430
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
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
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
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage