iven are five observations for two variables, x and y. x, 12 3 4 Y, 4 7s 10 14 a) Develop a scatter diagram for these data. y 18 y 18 y 18 T y 18 15- 15 15 15 12 12 12 12 9. 9 6. 6. 6 6- 3- 3- 3 3. 1 3 4 6 1 2 4 5 6 3 4 5 6 1 2 4 6 (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? O There appears to be a negative linear relationship between x and y. O There appears to be a positive linear relationship between x and y. O There appears to be no noticeable relationship between x and y. (c) Try to approximate the relationship between x and y by drawing a straight line through the data. y y y y 18+ 18- 18+ 18+ 15 15 15 15- 12- 12 12 12 9 9. 91 9 6- 6- 6- 3- 3- 3+ 3- 3 4 5 6. 2 3 4 5 6. 4 5 6. 1 2 4 5 6.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Given are five observations for two variables, x and y.
х, 1
2 3
5
4
y; 4
7 5
10 14
(a) Develop a scatter diagram for these data.
y
18
y
18
y
18
y
18
15
15
15
15
12
12
12
12
9
9
6
6.
6
6
3
3-
3
3
X
1.
2
3
4
5
6
3
4
6
4
2.
3
4
6
(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
O There appears to be a negative linear relationship between x and y.
O There appears to be a positive linear relationship between x and y.
O There appears to be no noticeable relationship between x and y.
(c) Try to approximate the relationship between x and y by drawing a straight line through the data.
y
y
y
y
18-
18+
18+
18-
15
15
15-
15
12
12
12
12
9
9
9
9
6-
6-
6-
3
3
3
1
2
3
4
2
4
5
1
2
3
1.
2
3
4
5
6
Transcribed Image Text:Given are five observations for two variables, x and y. х, 1 2 3 5 4 y; 4 7 5 10 14 (a) Develop a scatter diagram for these data. y 18 y 18 y 18 y 18 15 15 15 15 12 12 12 12 9 9 6 6. 6 6 3 3- 3 3 X 1. 2 3 4 5 6 3 4 6 4 2. 3 4 6 (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? O There appears to be a negative linear relationship between x and y. O There appears to be a positive linear relationship between x and y. O There appears to be no noticeable relationship between x and y. (c) Try to approximate the relationship between x and y by drawing a straight line through the data. y y y y 18- 18+ 18+ 18- 15 15 15- 15 12 12 12 12 9 9 9 9 6- 6- 6- 3 3 3 1 2 3 4 2 4 5 1 2 3 1. 2 3 4 5 6
(d) Develop the estimated regression equation by computing the values of b, and b, using b,
[(x, - x)(y, - Y)
and b, = y - b,x.
I(x, - x)2
(e) Use the estimated regression equation to predict the value of y when x = 4.
Transcribed Image Text:(d) Develop the estimated regression equation by computing the values of b, and b, using b, [(x, - x)(y, - Y) and b, = y - b,x. I(x, - x)2 (e) Use the estimated regression equation to predict the value of y when x = 4.
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