Ho: B₁ B₂ B3 = 0 H₂: One or more of the parameters is not equal to zero. O Ho: P₁ = 0 Ha: Bo #0 Find the value of the test statistic. BºF ostly sunny Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject Ho. There is sufficient evidence to conclude there is a significant relationship between the monthly expenditure on food and the independent variables. O Do not reject Ho. There is sufficient evidence to conclude there is a significant relationship between the monthly expenditure on food and the independent variables. O Reject Ho. There is insufficient evidence to conclude there is a significant relationship between the monthly expenditure on food and the independent variables. O Do not reject Ho. There is insufficient evidence to conclude there is a significant relationship between the monthly expenditure on food and the independent variables. (f) Compute the multiple coefficient of determination. (Round your answer to four decimal places.) Explain its meaning. (Give your answer as a percent. Round your answer to two decimal places.) % of the variability in y is explained by the independent variables. (g) Estimate the monthly expenditure (in dollars) on food for a family that has 3 members, eats outside 8 times, and does not have any member of the family on a diet. $ Need Help? Read It
Ho: B₁ B₂ B3 = 0 H₂: One or more of the parameters is not equal to zero. O Ho: P₁ = 0 Ha: Bo #0 Find the value of the test statistic. BºF ostly sunny Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject Ho. There is sufficient evidence to conclude there is a significant relationship between the monthly expenditure on food and the independent variables. O Do not reject Ho. There is sufficient evidence to conclude there is a significant relationship between the monthly expenditure on food and the independent variables. O Reject Ho. There is insufficient evidence to conclude there is a significant relationship between the monthly expenditure on food and the independent variables. O Do not reject Ho. There is insufficient evidence to conclude there is a significant relationship between the monthly expenditure on food and the independent variables. (f) Compute the multiple coefficient of determination. (Round your answer to four decimal places.) Explain its meaning. (Give your answer as a percent. Round your answer to two decimal places.) % of the variability in y is explained by the independent variables. (g) Estimate the monthly expenditure (in dollars) on food for a family that has 3 members, eats outside 8 times, and does not have any member of the family on a diet. $ Need Help? Read It
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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Transcribed Image Text:esc
You may need to use the appropriate technology to answer this question.
A sample of 23 families was taken for a study. The objective of the study was to estimate the factors that determine the monthly expenditure (in dollars) on food for families. The independent variables included in
the analysis were the number of members in the family (x₁), the number of meals eaten outside (x₂), and a dummy variable (×3) that equals 1 if a family member is on a diet and equals 0 if there is no family
member on a diet. The following regression results were obtained.
1
58°F
Mostly sunny
Q
ŷ =
?
Intercept
@
X1
ANOVA
X2
f2
X3
2
Coefficients
Regression
Residual (Error)
W
(a) Write out the estimated regression equation.
f3
#
474.31
*
3
51.94
13.72
E
-1.12
df
Standard Error
f4
SS
474.31 +51.94x + 13.72x2-1.12x3
1,852.50
$
3,188.25 1,062.75
4
56.6
R
f5
9.8
16.0
2.8
MS
10
%
97.50
5
f6
T
4-
6
f7
4+
Y
&
7
fg
IAA
U
fg
8
hp
▷ll
O
f10
DDI
fi
f12
insert
P
prt sc
CE
delete
backspace
home
num
lock
enter
end
12/
home
Transcribed Image Text:esc
You may need to use the appropriate technology to answer this question.
A sample of 23 families was taken for a study. The objective of the study was to estimate the factors that determine the monthly expenditure (in dollars) on food for families. The independent variables included in
the analysis were the number of members in the family (x₁), the number of meals eaten outside (x₂), and a dummy variable (×3) that equals 1 if a family member is on a diet and equals 0 if there is no family
member on a diet. The following regression results were obtained.
1
58°F
Mostly sunny
Q
ŷ =
?
Intercept
@
X1
ANOVA
X2
f2
X3
2
Coefficients
Regression
Residual (Error)
W
(a) Write out the estimated regression equation.
f3
#
474.31
*
3
51.94
13.72
E
-1.12
df
Standard Error
f4
SS
474.31 +51.94x + 13.72x2-1.12x3
1,852.50
$
3,188.25 1,062.75
4
56.6
R
f5
9.8
16.0
2.8
MS
10
%
97.50
5
f6
T
4-
6
f7
4+
Y
&
7
fg
IAA
U
fg
8
hp
▷ll
O
f10
DDI
fi
f12
insert
P
prt sc
CE
delete
backspace
home
num
lock
enter
end
12/
home
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