Question
In: Statistics and Probability
b) Fill in the missing entries in the ANOVA table below. Source df SS MS F...
b) Fill in the missing entries in the ANOVA table below.
| Source | df | SS | MS | F |
|---|---|---|---|---|
| Regression | 8 | 3.365 | ||
| Error | 6 | 10.825 | ||
| Total | 14 |
c) Is there evidence to support that the model is significant?
Test using ?=0.05α=0.05.
1. ?0:?1=...=?8H0:β1=...=β8 vs ??:Ha: At least one ?β differs from
0.
2. Test statistic: F =
3. Critical value: ??Fα =
4. Conclusion: ?0H0. (Type either Reject or Fail to
reject)
There evidence that the part of the model which concerns
the departments is significant. (Type either is or is not)
Solutions
orchestra answered 1 year agoRelated Solutions
Find the missing values in the following ANOVA Table Source of Variation Df SS MS F...
Find the missing values in the following ANOVA Table
Source of Variation
Df
SS
MS
F
Between
3
b
1.56
5.73
Within
a
4.36
c
Total
19
a. What is the total sample size? How many groups are there?
b. If α = 0.025 will you reject Ho? Show your reasoning.
Problem 4 a) Fill in the missing squares in the one-way ANOVA table. Source df SS...
Problem 4
a) Fill in the missing squares in the one-way ANOVA table.
Source
df
SS
MS=SS/df
F-statistic
P-value
Treatment
4
Error
20
6.76
Total
173.04
b) What are the Null and Alternative hypotheses for ANOVA
F-test?
c) How many independent populations are compared?
d) Conduct the ANOVA F-test at a significance level of α=0.05
and write your conclusion based on the results.
e) Suppose that you perform one-way ANOVA and reject the null
hypothesis. You may want to know...
A portion of an ANOVA summary table is shown below. Source DF SS MS Between 2...
A portion of an ANOVA summary table is shown below.
Source DF SS MS
Between 2 84.11 42.06
Within (error) 15 88.83 5.92
Total 17 172.94
Test at the 5% level of significance to determine whether
differences exist among the
population means.
Below is the ANOVA table for a linear regression analysis: Source SS df MS Lin Regression...
Below is the ANOVA table for a linear regression
analysis:
Source
SS
df
MS
Lin Regression
75
1
75
Residual
1500
60
25
Total
1575
61
(a) How many people were tested?
N = ________
(b) What are the tabled (α = .05) and calculated
F-values?
Ftabled = ___________
Fcalc = ___________
(c) What are the two possible values for the product
moment correlation (r)?
r = _______ or _______
(d) Without calculating the interval, will the 95%
confidence interval...
C -- Given the following ANOVA table: Source DF SS MS F Regression 1 1,200.0 1,200.00...
C -- Given the following ANOVA table:
Source
DF
SS
MS
F
Regression
1
1,200.0
1,200.00
24.00
Error
12
600.0
50.00
Total
13
1,800.0
Determine the coefficient of determination. (Round your
answer to 3 decimal places.)
Assuming a direct relationship between the variables, what is
the correlation coefficient? (Round your answer to 2
decimal places.)
Determine the standard error of estimate. (Round your
answer to 2 decimal places.)
D -- A consumer buying cooperative tested the effective heating
area of...
To answer this question, refer to the following two-way ANOVA summary table: SOURCE SS df MS...
To answer this question, refer to the following two-way ANOVA
summary table:
SOURCE
SS
df
MS
Rows
450.5
2
Columns
116.4
1
Interaction
2.3
2
1.15
Within-cells
260.4
24
Total
829.6
29
What is the value for MS rows?
What is the value for MS columns?
What is the value for MS within-cells?
What is Fobt for rows?
What is Fobt for column?
What is Fobt for interaction?
ANOVA Source of Variation SS df MS F p-value Factor A 33,443.41 3 11,147.80 Factor...
ANOVA
Source of
Variation
SS
df
MS
F
p-value
Factor A
33,443.41
3
11,147.80
Factor B
24,232.44
2
12,116.22
Interaction
168,937.71
6
28,156.29
Error
135,865.32
36
3,774.04
Total
362,478.88
47
(a)
What kind of ANOVA is this?
One-factor ANOVA
Two-factor ANOVA with
replication
Two-factor ANOVA without
replication
(b)
Calculate each F test statistic and the
p-value for each F test using Excel's function
=F.DIST.RT(F,DF1,DF2). (Round your
Fcalc values to 3 decimal places and
p-values to...
Shown below is a partial Excel output from a regression analysis. ANOVA df SS MS F...
Shown below is a partial Excel output from a regression
analysis.
ANOVA
df
SS
MS
F
Regression
60
Residual
Total
19
140
Coefficients
Standard Error
Intercept
10.00
2.00
x1
-2.00
1.50
x2
6.00
2.00
x3
-4.00
1.00
a.
Use the above results and write the regression equation. [4
Marks]
b.
Compute the coefficient of determination and fully interpret its
meaning. [4 Marks]
c.
Is the regression model significant? Perform the test at let α =
0.05. [4 Marks]
d.
At...
Shown below is a partial Excel output from a regression analysis. ANOVA df SS MS F...
Shown below is a partial Excel output from a regression
analysis.
ANOVA
df
SS
MS
F
Regression
60
Residual
Total
19
140
Coefficients
Standard Error
Intercept
10.00
2.00
x1
-2.00
1.50
x2
6.00
2.00
x3
-4.00
1.00
a.
Use the above results and write the regression equation. [4
Marks]
b.
Compute the coefficient of determination and fully interpret its
meaning. [4 Marks]
c.
Is the regression model significant? Perform the test at let α =
0.05. [4 Marks]
d.
At...
The following ANOVA table was obtained when estimating a multiple regression model. ANOVA df SS MS...
The following ANOVA table was
obtained when estimating a multiple regression model.
ANOVA
df
SS
MS
F
Significance F
Regression
2
188,246.80
94,123.40
35.2
9.04E-07
Residual
17
45,457.32
2,673.96
Total
19
233,704.10
a.
Calculate the standard error of
the estimate. (Round your answer to 2 decimal
places.)
se
b-1.
Calculate the coefficient of
determination. (Round your answer to 4 decimal
places.)
Coefficient of
determination
b-2.
Interpret the coefficient of
determination.
The...
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