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
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
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
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 = . Round your answer to 4 decimal places.
�2=44, �2-�^2 = . Round your answer to 4 decimal places.
�3=68, �3-�^3 = . Round your answer to 4 decimal places.
�4=76, �4-�^4 = . Round your answer to 4 decimal places.
�5=94, �5-�^5 = . Round your answer to 4 decimal places.
b) Using the formula
��=�12+�22+⋯+��2�-2
calculate the standard deviation, ��, of all residuals.
��= . Round your answer to 4 decimal places.

Transcribed Image Text: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 Ŷ = −0.0034Ỹ + 1.0798 as the equation of the "Best-Fit" line. Calculate the residuals, Y – Ŷ, of
this data:
X₁ = 56, Y₁ - Ŷ₁ =
. Round your answer to 4 decimal places.
X2 = 44, Y₂ - ₂ =
X3 = 68, Y3 - Ŷ3 =
X₁ = 76, Y₁ - Ŷ₁ =
X5 = 94, Y5 – Ŷ5 =
b) Using the formula
Se =
e²+e² +
+ e²v
N - 2
. Round your answer to 4 decimal places.
. Round your answer to 4 decimal places.
. Round your answer to 4 decimal places.
. Round your answer to 4 decimal places.
calculate the standard deviation, se, of all residuals.
Se =
. Round your answer to 4 decimal places.
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