Fit a least-squares parabola having the form y a + bx + cx2 to the given data. 1.2 1.8 3.1 4.9 5.7 7.1 8.6 9.8 y 4.5 5.9 7 7.8 7.2 6.8 4.5 2.7 Write only the letter corresponding to the correct answer. Find the linear coefficient between x and y. A) -0.29 B) 0.29 C) -0.37 D) 0.37 Find the non linear coefficient of the parabolic relationship between x and y A) 0.99 B) 0.88 C) 0.77 D) 0.66 Interpretation or r in number 1 and 2. A) x and y have very good negative linear relationship B) x and y have good positive linear relationship C) x and y have good negative non linear relationship D) x and y have very good positive non linear relationship What percentage of the total variation remains unexplained by the assumption of a parabolic relationship between x and y? A) 0.75 B) 1.78 C) 2.33 D) 3.75

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Fit a least-squares parabola having the form y = a + bx
+ cx2 to the given data.
X
1.2
1.8
3.1
4.9
5.7
7.1
8.6
9.8
y
4.5
5.9
7
7.8
7.2
6.8
4.5
2.7
Write only the letter corresponding to the correct
answer.
Find the linear coefficient between x and y.
A) -0.29 B) 0.29 C) -0.37 D) 0.37
Find the non linear coefficient of the parabolic relationship between x and y
A) 0.99 B) 0.88
C) 0.77 D)
0.66
Interpretation or r in number 1 and 2.
A) x and y have very good negative linear relationship B) x and y have
good positive linear relationship
С) х and y
have good negative non linear relationship D) x and y
have very good positive non linear relationship
What percentage of the total variation remains
unexplained by the
assumption of a parabolic
relationship between x and y?
A) 0.75 B) 1.78 C) 2.33 D) 3.75
Transcribed Image Text:Fit a least-squares parabola having the form y = a + bx + cx2 to the given data. X 1.2 1.8 3.1 4.9 5.7 7.1 8.6 9.8 y 4.5 5.9 7 7.8 7.2 6.8 4.5 2.7 Write only the letter corresponding to the correct answer. Find the linear coefficient between x and y. A) -0.29 B) 0.29 C) -0.37 D) 0.37 Find the non linear coefficient of the parabolic relationship between x and y A) 0.99 B) 0.88 C) 0.77 D) 0.66 Interpretation or r in number 1 and 2. A) x and y have very good negative linear relationship B) x and y have good positive linear relationship С) х and y have good negative non linear relationship D) x and y have very good positive non linear relationship What percentage of the total variation remains unexplained by the assumption of a parabolic relationship between x and y? A) 0.75 B) 1.78 C) 2.33 D) 3.75
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