Question

Consider the following ANOVA table for a multiple regression model. Complete the table and answer the parts below.

Source / df / SS / MF / F

Regression / 2 / ___ / ___ / ___

Residual / ___ / 8,100 / ___

Total / 47 / 15,300 /

a. Complete the remaining entries in the table.

b. What is the size of this sample? n=?

c. How many independent variables are in this model? k=?

d. Calculate the multiple coefficient of determination.

R^{2}=? (Round to four decimal places as needed.)

e. Identify the value of the test statistic. F=?

f. Calculate the p-value. (Round to three decimal places as needed.)

g. Calculate the adjusted multiple coefficient of determination.

R^2/a=? (Round to four decimal places as needed.)

Answer #1

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The ANOVA summary table to the right is for a multiple
regression model with six independent variables. Complete parts
(a) through (e).
Source: Degrees of Freedom / Sum of Squares
Regression 6 90
Error 14 170
Total 20 260
a. Determine the regression mean square (MSR)
and the mean square error (MSE).
MSR= (Round to four decimal places as needed.)
MSE= (Round to four decimal places as needed.)
b. Compute the overall F STAT test statistic.
(Round to two...

Consider the partially completed ANOVA summary table below.
Complete parts a through d below. Source df SS MS F Regression 1
700 Residual Total 9 1000
a. Complete the remaining entries in the table. Source df SS MS
F Regression 1 700 nothing nothing Residual nothing nothing nothing
Total 9 1000 (Type integers or decimals rounded to two decimal
places as needed.)
b. How many ordered pairs are in this sample?
c. Calculate the sample coefficient of determination.
d. Using...

Complete the following ANOVA table for a multiple linear
regression model and answer the following questions.
Source
df
SS
MS
F
Regression
93
30
Total
33
267
a) How many independent variables are included in the model?
b) State the null and alternate hypothesis to be tested.
c) At a 0.01 level of significance, is the multiple linear
regression model significant? (Justify)
d) How many data points have been collected?

Complete the following ANOVA table for a multiple linear
regression model and answer the following questions.
Source
df
SS
MS
F
Regression
93
30
Total
33
267
a) How many independent variables are included in the model?
b) State the null and alternate hypothesis to be tested.
c) At a 0.01 level of significance, is the multiple linear
regression model significant? (Justify)
d) How many data points have been collected?

Consider the ANOVA table that follows. Analysis of Variance
Source DF SS MS F Regression 5 3,931.60 786.32 14.34 Residual Error
50 2,742.06 54.84 Total 55 6,673.66
a-1. Determine the standard error of estimate. (Round your
answer to 2 decimal places.)
a-2. About 95% of the residuals will be between what two values?
(Round your answers to 2 decimal places.)
b-1. Determine the coefficient of multiple determination. (Round
your answer to 3 decimal places.)
b-2. Interpret the coefficient of multiple...

Consider the ANOVA table that follows.
Analysis of Variance
Source
DF
SS
MS
F
Regression
3
3,662.36
1,220.79
27.55
Residual Error
54
2,392.82
44.31
Total
57
6,055.18
a-1. Determine the standard error of estimate.
(Round your answer to 2 decimal places.)
a-2. About 95% of the residuals will be between
what two values? (Round your answers to 2 decimal
places.)
b-1. Determine the coefficient of multiple
determination. (Round your answer to 3 decimal
places.)
b-2. Determine the percentage variation for...

Consider the ANOVA table that follows. Analysis of Variance
Source DF SS MS F Regression 5 4,001.11 800.22 14.72 Residual Error
48 2,610.04 54.38 Total 53 6,611.16 a-1. Determine the standard
error of estimate. (Round your answer to 2 decimal places.) a-2.
About 95% of the residuals will be between what two values? (Round
your answers to 2 decimal places.) b-1. Determine the coefficient
of multiple determination. (Round your answer to 3 decimal places.)
b-2. Determine the percentage variation for...

A regression model is
run. Shown below is a portion of the ANOVA table. What is the
R-squared value for tis model? Enter your answer to 3 decimal
places.
ANOVA
df
SS
Regression
1
64.496
Residual
18
53.537

Refer to the ANOVA table for this regression.
Source
SS
d.f.
MS
Regression
1,028,994
15
68,600
Residual
1,625,306
35
46,437
Total
2,654,300
50
(b)
Calculate the F statistic. (Round your answer
to 4 decimal places.)
F statistic
(c-1)
Use Excel to find the p-value of F
(Round your answer to 4 decimal places.)
p-value
(d)
Calculate R2 and
R2adj. (Round your answers
to 4 decimal places.)
R2
R2adj

Use the information and general form of the ANOVA table for
multiple regression from class or from page 613 of the book to
complete the table, find the F-statistic, and find R2.
Source
DF
SS
MS
F
Model
4
70
Error
Total
33
524
For question 17, what percentage of the variation in the
response variable is explained by the explanatory variables?
(report as %)
What is the range for the p-value for question 17?
>0.100
0.050 to 0.100
0.025...

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