Given are five observations for two variables, and y. S Yi Use the estimated regression equation: ŷ = 67.5538 -2.6451x. a. Compute the mean squa 3 لیا 58 6 10 51 18 20 45 19 14
Given are five observations for two variables, and y. S Yi Use the estimated regression equation: ŷ = 67.5538 -2.6451x. a. Compute the mean squa 3 لیا 58 6 10 51 18 20 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
Related questions
Question
Statistic question. Please help. Part a,b,c is already answered. Need help with the remaining. Thank you
![Given are five observations for two variables, and y.
Use the estimated regression equation: = 67.5538
a. Compute the mean square error using equation.
SSE
s² = MSE=
n 2
6.5289 (to 4 decimals)
b. Compute the standard error of the estimate using equation.
SSE
8 = √MSE =
n-2
2.5552 (to 4 decimals)
c. Compute the estimated standard deviation of b₁ using
S
Sb₁ =
59
S
do
Xi
%
Yi
2.6451,
√√Σ(x₁ - x)²
0.1729 (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)
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.
3 6
MacBook Pro
58 51
10 18
45 19
빈
20
14](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95b27bbf-a33e-4d69-938a-12d649d4f4fe%2Fca5c93b7-2543-4db9-ac41-6306ad200fe1%2Fkj74szd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given are five observations for two variables, and y.
Use the estimated regression equation: = 67.5538
a. Compute the mean square error using equation.
SSE
s² = MSE=
n 2
6.5289 (to 4 decimals)
b. Compute the standard error of the estimate using equation.
SSE
8 = √MSE =
n-2
2.5552 (to 4 decimals)
c. Compute the estimated standard deviation of b₁ using
S
Sb₁ =
59
S
do
Xi
%
Yi
2.6451,
√√Σ(x₁ - x)²
0.1729 (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)
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.
3 6
MacBook Pro
58 51
10 18
45 19
빈
20
14
![Q
E
D
Ha: B1 0
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.
Source
of Variation
Regression
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).
Error
Total
0 Icon Key
What is your conclusion, based on this F test?
We-Select your answer - Ho.
$
4
Degrees
of Freedom
R
F
%
Sum of
Squares
5
T
G
6
Mean
Square
MacBook Pro
Y
&
7
H
F
U
p-value
* 00
8
J
-
(
9
K
*
O
)
0
Question 4 of 4
Save Submit Assignment for Grading
7
I'
P
Search this course
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=
لالہ
0
Ⓡ
48
11
?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95b27bbf-a33e-4d69-938a-12d649d4f4fe%2Fca5c93b7-2543-4db9-ac41-6306ad200fe1%2Fnp4umv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q
E
D
Ha: B1 0
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.
Source
of Variation
Regression
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).
Error
Total
0 Icon Key
What is your conclusion, based on this F test?
We-Select your answer - Ho.
$
4
Degrees
of Freedom
R
F
%
Sum of
Squares
5
T
G
6
Mean
Square
MacBook Pro
Y
&
7
H
F
U
p-value
* 00
8
J
-
(
9
K
*
O
)
0
Question 4 of 4
Save Submit Assignment for Grading
7
I'
P
Search this course
F
A
+
=
لالہ
0
Ⓡ
48
11
?
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