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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

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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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Fit a least-squares parabola having the form y = a + bx + cx 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
Transcribed Image Text:Fit a least-squares parabola having the form y = a + bx + cx 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
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