Given are five observations for two variables, x and y. x 1|2 3 Yi 46 6 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 9 9 6. 6+ 6 6+ . 3 3 3- 3- 1 2 3 5 6" 1 2 3 4 5 1 5 6 1 3 4 5 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 no noticeable relationship between x and y. 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. (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- 6+ 3- 3 3- 3- 1 2 3 4 1 2 3 4. 6 1 2 3 4 4 6.
Given are five observations for two variables, x and y. x 1|2 3 Yi 46 6 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 9 9 6. 6+ 6 6+ . 3 3 3- 3- 1 2 3 5 6" 1 2 3 4 5 1 5 6 1 3 4 5 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 no noticeable relationship between x and y. 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. (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- 6+ 3- 3 3- 3- 1 2 3 4 1 2 3 4. 6 1 2 3 4 4 6.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
Related questions
Question
q16
Transcribed Image Text:Given are five observations for two variables, x and y.
x; 1| 2| 3
4
5
Y; 46 6
10 14
(a) Develop a scatter diagram for these data.
y
18
18
18
18T
15
15
15
15
12
12
12-
12-
9-
9.
9
9.
6-
6-
6-
6-
3-
3-
3+
3.
X
4
5
1
3
4
6.
1
4
6
1
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 no noticeable relationship between x and y.
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.
(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-
6.
6-
6.
6-
3-
3-
3-
3-
1.
2
3
4
5
6.
1
2
4
5
6
1
2
3
4
5
6
1
2
4
5
6
I(x, - )(y, - 7)
(d) Develop the estimated regression equation by computing the values of b, and b, using b, =
and bo = y - bx.
I(x, - )2
(e) Use the estimated regression equation to predict the value of y wwhen x = 2.
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