Given the data as shown in the table below X Y 56 0.86 44 0.93 68 0.85 76 0.87 94 0.73 a) Using Ỹ = −0.0034Â + 1.0798 as the equation of the "Best-Fit" line. Calculate the residuals, Y – Ŷ, of this data: X₁ = 56, Y₁ – Ŷ₁ : = -0.0292 X₂ = 44, Y₂ − Ŷ₂ = 0.0000 X3 = 68, Y3 – Ŷ3 = 0.0016 X₁ = 76, Y₁ – Ŷ¹ = 0.0488 X5 = 94, Y5 – Ŷ5 = -0.0300 Se = b) Using the formula e²+e²+ •+e² v N - 2 x . Round your answer to 4 decimal places. x . Round your answer to 4 decimal places. x . Round your answer to 4 decimal places. x . Round your answer to 4 decimal places. x . Round your answer to 4 decimal places. calculate the standard deviation, se, of all residuals. Se = 0.0371 . Round your answer to 4 decimal places.
Given the data as shown in the table below X Y 56 0.86 44 0.93 68 0.85 76 0.87 94 0.73 a) Using Ỹ = −0.0034Â + 1.0798 as the equation of the "Best-Fit" line. Calculate the residuals, Y – Ŷ, of this data: X₁ = 56, Y₁ – Ŷ₁ : = -0.0292 X₂ = 44, Y₂ − Ŷ₂ = 0.0000 X3 = 68, Y3 – Ŷ3 = 0.0016 X₁ = 76, Y₁ – Ŷ¹ = 0.0488 X5 = 94, Y5 – Ŷ5 = -0.0300 Se = b) Using the formula e²+e²+ •+e² v N - 2 x . Round your answer to 4 decimal places. x . Round your answer to 4 decimal places. x . Round your answer to 4 decimal places. x . Round your answer to 4 decimal places. x . Round your answer to 4 decimal places. calculate the standard deviation, se, of all residuals. Se = 0.0371 . Round your answer to 4 decimal places.
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
Given the data as shown in the table below
a) Using �^=-0.0034�^+1.0798 as the equation of the "Best-Fit" line. Calculate the residuals, �-�^, of this data:
�1=56, �1-�^1 = −0.0292Incorrect . Round your answer to 4 decimal places.
�2=44, �2-�^2 = 0.0000Incorrect . Round your answer to 4 decimal places.
�3=68, �3-�^3 = 0.0016Incorrect . Round your answer to 4 decimal places.
�4=76, �4-�^4 = 0.0488Incorrect . Round your answer to 4 decimal places.
�5=94, �5-�^5 = −0.0300Incorrect . Round your answer to 4 decimal places.
b) Using the formula
��=�12+�22+⋯+��2�-2
calculate the standard deviation, ��, of all residuals.
��=0.0371Correct . Round your answer to 4 decimal places.
X | Y |
---|---|
56 | 0.86 |
44 | 0.93 |
68 | 0.85 |
76 | 0.87 |
94 | 0.73 |
a) Using �^=-0.0034�^+1.0798 as the equation of the "Best-Fit" line. Calculate the residuals, �-�^, of this data:
�1=56, �1-�^1 = −0.0292Incorrect . Round your answer to 4 decimal places.
�2=44, �2-�^2 = 0.0000Incorrect . Round your answer to 4 decimal places.
�3=68, �3-�^3 = 0.0016Incorrect . Round your answer to 4 decimal places.
�4=76, �4-�^4 = 0.0488Incorrect . Round your answer to 4 decimal places.
�5=94, �5-�^5 = −0.0300Incorrect . Round your answer to 4 decimal places.
b) Using the formula
��=�12+�22+⋯+��2�-2
calculate the standard deviation, ��, of all residuals.
��=0.0371Correct . Round your answer to 4 decimal places.
Question HelpQuestion 4:
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Submit QuestionQuestion 4
![Given the data as shown in the table below
a) Using Ỹ = −0.0034Ñ + 1.0798 as the equation of the "Best-Fit" line. Calculate the residuals, Y – Ỹ, of
this data:
X₁ = 56, Y₁ – Ŷ₁ = -0.0292
X
Y
56
0.86
44 0.93
68 0.85
76 0.87
94 0.73
X2₂ = 44, Y₂ − Ŷ₂ = 0.0000
X3 = 68, Y3 – Ŷ3 = 0.0016
X₁ = 76, Y₁ – Ŷ¹ = 0.0488
X5 = 94, Y5 – Ŷ5 = -0.0300
b) Using the formula
Se
Se
e²+e²+
N - 2
2
N
x. Round your answer to 4 decimal places.
x . Round your answer to 4 decimal places.
x . Round your answer to 4 decimal places.
x . Round your answer to 4 decimal places.
x . Round your answer to 4 decimal places.
calculate the standard deviation, se, of all residuals.
0.0371
Round your answer to 4 decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81fcbcae-c7c7-47f7-b9b9-962fae442be8%2Fc51e94e4-75c8-486b-86f6-c022435a1fca%2Fjwrxb34_processed.png&w=3840&q=75)
Transcribed Image Text:Given the data as shown in the table below
a) Using Ỹ = −0.0034Ñ + 1.0798 as the equation of the "Best-Fit" line. Calculate the residuals, Y – Ỹ, of
this data:
X₁ = 56, Y₁ – Ŷ₁ = -0.0292
X
Y
56
0.86
44 0.93
68 0.85
76 0.87
94 0.73
X2₂ = 44, Y₂ − Ŷ₂ = 0.0000
X3 = 68, Y3 – Ŷ3 = 0.0016
X₁ = 76, Y₁ – Ŷ¹ = 0.0488
X5 = 94, Y5 – Ŷ5 = -0.0300
b) Using the formula
Se
Se
e²+e²+
N - 2
2
N
x. Round your answer to 4 decimal places.
x . Round your answer to 4 decimal places.
x . Round your answer to 4 decimal places.
x . Round your answer to 4 decimal places.
x . Round your answer to 4 decimal places.
calculate the standard deviation, se, of all residuals.
0.0371
Round your answer to 4 decimal places.
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