Use the data given in problem 5 (page 325) to answer the following questions: (a) Test if the interactions of (1QMwith Z) and (IQF with Z) are statistically significant in the multiple regression model: VIAD = Bo + B₁1QM + B₂IQF + B3Z + B41QMZ + B51QFZ + E (Use a = 0.05). Based on your decision for part (a), solve part (b) – part (i). (b). (c) (d) (e) ( (f); (g): (h): (i)). State an appropriate ANACOVA model for these data. Find the fitted ANACOVA model that is appropriate for these data. Determine unadjusted mean of VIAD scores for each group. Determine adjusted mean of VIAD scores for each group. Compare adjusted and the unadjusted means for each group. Test whether the adjusted mean of scores differ significantly using a = 0.05. Find a 95% confidence interval for the true difference in adjusted mean of scores. Comment on your answers in parts (g) and (h).
Use the data given in problem 5 (page 325) to answer the following questions: (a) Test if the interactions of (1QMwith Z) and (IQF with Z) are statistically significant in the multiple regression model: VIAD = Bo + B₁1QM + B₂IQF + B3Z + B41QMZ + B51QFZ + E (Use a = 0.05). Based on your decision for part (a), solve part (b) – part (i). (b). (c) (d) (e) ( (f); (g): (h): (i)). State an appropriate ANACOVA model for these data. Find the fitted ANACOVA model that is appropriate for these data. Determine unadjusted mean of VIAD scores for each group. Determine adjusted mean of VIAD scores for each group. Compare adjusted and the unadjusted means for each group. Test whether the adjusted mean of scores differ significantly using a = 0.05. Find a 95% confidence interval for the true difference in adjusted mean of scores. Comment on your answers in parts (g) and (h).
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
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Answer parts h-i
![Edited SAS Output (PROC REG) for Problem 5
Regression of Viad on IQM, IQF, and Z
Variable
Intercept
IQM
IQF
Z
VIAD
Sum
20.00000
2336.00000
2352.00000
10.00000
-14.00000
Variable
Intercept
IQM
IQF
Z
DF
1
1
1
1
DESCRIPTIVE STATISTICS
Mean
1.00000
116.80000
117.60000
0.50000
-0.70000
[Portion of output omitted]
Uncorrected SS
20.00000
275060
279924
10.00000
1518.00000
PARAMETER ESTIMATES
Parameter
Estimate
44.59001
-0.69301
0.28109
5.19610
Variance
0
116.58947
175.20000
0.26316
79.37895
t Value
Standard
Error
17.85879
2.50
0.19389 -3.57
0.15967
3.13292
Pr>t
0.0238
0.0025
1.76 0.0974
1.66 0.1167
Standard
Deviation
0
10.79766
13.23631
0.51299
8.90949
(continued)
Regression of Viad on IQM, IQF, Z, IQM X Z, and IQF X Z
Source
Model
Error
Corrected Total
Variable
Intercept
IQM
IQF
Z
IQMZ
IQFZ
DF
1
1
1
1
1
1
DF
5
14
19
ANALYSIS OF VARIANCE
Sum of
Squares
746.73852
761.46148
1508.20000
PARAMETER ESTIMATES
Parameter
Estimate
43.99054
-0.73495
0.32723
6.03875
0.07613
-0.08265
Mean
Square
149.34770
54.39011
Standard
Error
29.67269
0.31358
0.25688
38.43473
0.41737
0.34325
t Value
F Value
2.75
Pr> t
1.48 0.1604
-2.34 0.0344
1.27 0.2234
0.16 0.8774
0.18 0.8579
-0.24 0.8132
Pr > F
0.0623
Type I SS
9.80000
502.25850
109.79250
131.46715
0.06709
3.15327
Problems
32](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F763773a4-b59e-428b-8a3f-bc3dd5fb97d6%2F99f1ee6a-e12f-4109-9f73-c15e90ccf838%2Fdikrp_processed.png&w=3840&q=75)
Transcribed Image Text:Edited SAS Output (PROC REG) for Problem 5
Regression of Viad on IQM, IQF, and Z
Variable
Intercept
IQM
IQF
Z
VIAD
Sum
20.00000
2336.00000
2352.00000
10.00000
-14.00000
Variable
Intercept
IQM
IQF
Z
DF
1
1
1
1
DESCRIPTIVE STATISTICS
Mean
1.00000
116.80000
117.60000
0.50000
-0.70000
[Portion of output omitted]
Uncorrected SS
20.00000
275060
279924
10.00000
1518.00000
PARAMETER ESTIMATES
Parameter
Estimate
44.59001
-0.69301
0.28109
5.19610
Variance
0
116.58947
175.20000
0.26316
79.37895
t Value
Standard
Error
17.85879
2.50
0.19389 -3.57
0.15967
3.13292
Pr>t
0.0238
0.0025
1.76 0.0974
1.66 0.1167
Standard
Deviation
0
10.79766
13.23631
0.51299
8.90949
(continued)
Regression of Viad on IQM, IQF, Z, IQM X Z, and IQF X Z
Source
Model
Error
Corrected Total
Variable
Intercept
IQM
IQF
Z
IQMZ
IQFZ
DF
1
1
1
1
1
1
DF
5
14
19
ANALYSIS OF VARIANCE
Sum of
Squares
746.73852
761.46148
1508.20000
PARAMETER ESTIMATES
Parameter
Estimate
43.99054
-0.73495
0.32723
6.03875
0.07613
-0.08265
Mean
Square
149.34770
54.39011
Standard
Error
29.67269
0.31358
0.25688
38.43473
0.41737
0.34325
t Value
F Value
2.75
Pr> t
1.48 0.1604
-2.34 0.0344
1.27 0.2234
0.16 0.8774
0.18 0.8579
-0.24 0.8132
Pr > F
0.0623
Type I SS
9.80000
502.25850
109.79250
131.46715
0.06709
3.15327
Problems
32
Transcribed Image Text:Use the data given in problem 5 (page 325) to answer the following questions:
(a)
Test if the interactions of (1QMwith Z) and (IQF with Z) are statistically significant
in the multiple regression model: VIAD = B₁ + B₁1QM + B₂IQF + B3Z + B₁¹QMZ + B51QFZ +
E (Use a 0.05).
Based on your decision for part (a), solve part (b) — part (i).
(b)
(c)
(d)
(e) (
(f);
(g)
(h):
(i)
State an appropriate ANACOVA model for these data.
Find the fitted ANACOVA model that is appropriate for these data.
Determine unadjusted mean of VIAD scores for each group.
Determine adjusted mean of VIAD scores for each group.
Compare adjusted and the unadjusted means for each group.
Test whether the adjusted mean of scores differ significantly using a = 0.05.
Find a 95% confidence interval for the true difference in adjusted mean of scores.
Comment on your answers in parts (g) and (h).
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