Given are five observations for two variables, and y. Yi Use the estimated regression equation: ŷ= 67.5538 -2.6451z. a. Compute the mean square error using equation 3 58 6 10 18 20 51 45 19 14
Given are five observations for two variables, and y. Yi Use the estimated regression equation: ŷ= 67.5538 -2.6451z. a. Compute the mean square error using equation 3 58 6 10 18 20 51 45 19 14
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Statistic question. Please help.
Transcribed Image Text:Given are five observations for two variables, and y.
(to 4 decimals)
b. Compute the standard error of the estimate using equation.
8 = √MSE =
SSE
Vn-2
Use the estimated regression equation: = 67.5538 -2.64512.
a. Compute the mean square error using equation.
s² = MSE=
SSE
n-2
(to 4 decimals)
c. Compute the estimated standard deviation of b₁ using equation.
8b₁ =
What is the p-value? Use Table 2 from Appendix B.
p-value is - Select your answer - #
What is your conclusion?
$
R
%
5
T
Ii
6
Yi
Σ(x₁ - x)²
(to 4 decimals)
d. Use the t-test to test the following hypotheses (α = 0.10):
Ho: B1=0
Ha: B10
Compute the value of the t-test statistic (Enter negative values as negative numbers).
(to 3 decimals)
Y
MacBook Pro
&
7
3
U
58
6
51
*
10
8
18 20
45 19 14
(
9
0
0
7
I'
P
![Ho: B1=0
Ha: 810
Compute the value of the t-test statistic (Enter negative values as negative numbers).
(to 3 decimals)
What is the p-value? Use Table 2 from Appendix B.
p-value is - Select your answer - :
What is your conclusion?
We-Select your answer - Ho.
e. Use the F-test to test the hypotheses in part (d) at a 0.10 level of significance.
Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the
p-value (to 4 decimals).
Source
of Variation
Regression
Error
Total
O Icon Key
What is your conclusion, based on this F test?
We-Select your answer - Ho.
$
4
]:
7
R
Degrees
of Freedom
F
V
%
5
Sum of
Squares
T
6
B
Mean
Square
MacBook Pro
Y
H
&
7
N
F
U
* 00
8
J
p-value
t
1
M
(
9
K
A
O
V
)
O
Save
L
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P
V
:
24
+ 11
{
[
11
~-
?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95b27bbf-a33e-4d69-938a-12d649d4f4fe%2F32a442cd-524a-4f0d-8a82-999c687d65de%2Frai14hj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ho: B1=0
Ha: 810
Compute the value of the t-test statistic (Enter negative values as negative numbers).
(to 3 decimals)
What is the p-value? Use Table 2 from Appendix B.
p-value is - Select your answer - :
What is your conclusion?
We-Select your answer - Ho.
e. Use the F-test to test the hypotheses in part (d) at a 0.10 level of significance.
Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the
p-value (to 4 decimals).
Source
of Variation
Regression
Error
Total
O Icon Key
What is your conclusion, based on this F test?
We-Select your answer - Ho.
$
4
]:
7
R
Degrees
of Freedom
F
V
%
5
Sum of
Squares
T
6
B
Mean
Square
MacBook Pro
Y
H
&
7
N
F
U
* 00
8
J
p-value
t
1
M
(
9
K
A
O
V
)
O
Save
L
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Submit Assignment for Grading
P
V
:
24
+ 11
{
[
11
~-
?
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