Given are five observations for two variables, x and y. X, 1 2 3 4 5 Y 3 6 6 12 13 (a) Develop a scatter diagram for these data. y 18- 15- 12- 9 6 3- у 18- 15 12 9. 6 3- x 0 1 2 3 4 5 6 0 1 2 3 4 5 6 о y 18- 15 12- 9- 3 0 1 2 3 4 5 о Type here to search 0 A N 2 A+ W 3 S Et 6 4 E R F5 % 25 FO 6 T L③ > & 27 y 18- 15 12 9 6 3. C 8 #00 1 2 3 5 6 の F10 D F G H J K X C V B N M All 76°F P O There appears to be a positive linear relationship between x and y. (c) Try to approximate the relationship between x and y by drawing a straight line through the data. y 18 15 12 9 6 3 y 18- 15- 12- 9 6 3 1 2 3 5 6 y 18 15 12 9 6 3 1 2 3 4 6 2 3 4 5 y 18 15- 12 9 6 3- (d) Develop the estimated regression equation by computing the values of bo and b₁ using b₁ x(x-x)(x,y) x(x-x)² and boy-b₁x Ŷ = (e) Use the estimated regression equation to predict the value of y when x = 4. Esc FnLock Type here to search 0 A N Al 立 F2 A+ F3 F4 *- 2 W $ 44 #3 E R S X D C % 15 *+ T 6 L3 1 2 3 4 6 @ F7 & 27 FB C 8* 6 LL F G H J K V B N M
Given are five observations for two variables, x and y. X, 1 2 3 4 5 Y 3 6 6 12 13 (a) Develop a scatter diagram for these data. y 18- 15- 12- 9 6 3- у 18- 15 12 9. 6 3- x 0 1 2 3 4 5 6 0 1 2 3 4 5 6 о y 18- 15 12- 9- 3 0 1 2 3 4 5 о Type here to search 0 A N 2 A+ W 3 S Et 6 4 E R F5 % 25 FO 6 T L③ > & 27 y 18- 15 12 9 6 3. C 8 #00 1 2 3 5 6 の F10 D F G H J K X C V B N M All 76°F P O There appears to be a positive linear relationship between x and y. (c) Try to approximate the relationship between x and y by drawing a straight line through the data. y 18 15 12 9 6 3 y 18- 15- 12- 9 6 3 1 2 3 5 6 y 18 15 12 9 6 3 1 2 3 4 6 2 3 4 5 y 18 15- 12 9 6 3- (d) Develop the estimated regression equation by computing the values of bo and b₁ using b₁ x(x-x)(x,y) x(x-x)² and boy-b₁x Ŷ = (e) Use the estimated regression equation to predict the value of y when x = 4. Esc FnLock Type here to search 0 A N Al 立 F2 A+ F3 F4 *- 2 W $ 44 #3 E R S X D C % 15 *+ T 6 L3 1 2 3 4 6 @ F7 & 27 FB C 8* 6 LL F G H J K V B N M
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 14CR
Related questions
Question
Transcribed Image Text:Given are five observations for two variables, x and y.
X, 1
2 3
4
5
Y 3
6
6
12
13
(a) Develop a scatter diagram for these data.
y
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0
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Transcribed Image Text:O There appears to be a positive linear relationship between x and y.
(c) Try to approximate the relationship between x and y by drawing a straight line through the data.
y
18
15
12
9
6
3
y
18-
15-
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9
6
3
1
2
3
5
6
y
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1
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y
18
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9
6
3-
(d) Develop the estimated regression equation by computing the values of bo and b₁ using b₁
x(x-x)(x,y)
x(x-x)²
and boy-b₁x
Ŷ =
(e) Use the estimated regression equation to predict the value of y when x = 4.
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