Given are five observations for two variables, x and y. 5 11 9 22 18 Yi 59 48 54 13 21 a. Choose the correct scatter diagram for these data: А. y y 60- 60 50 50 40 40 30 30 20 20- 10 10 10 20 30 40 50 60 x 10 20 30 40 50 60 x C. D. 60 60 50 50 40 40 30- 30 60 60 50 50 40 40 30 30 20 20 10- 10- 10 20 30 40 50 60 x 10 20 30 40 50 60 x A b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a negative : linear relationship between a and y. c. Try to approximate the relationship between x and y by drawing a straight line through the data. Only one straight line can be drawn * to provide a linear approximation of the relationship between x and y. d. Develop the estimated regression equation by computing the values of bo and bị using equations: (Enter negative values as negative figure) (T; – 7)(yi – g) bị = i i bo = y – bịa 77.68 + 2.96 x (to 2 decimals) e. Use the estimated regression equation to predict the value of y when x = 6. 95.44 (to 2 decimals) B.
Given are five observations for two variables, x and y. 5 11 9 22 18 Yi 59 48 54 13 21 a. Choose the correct scatter diagram for these data: А. y y 60- 60 50 50 40 40 30 30 20 20- 10 10 10 20 30 40 50 60 x 10 20 30 40 50 60 x C. D. 60 60 50 50 40 40 30- 30 60 60 50 50 40 40 30 30 20 20 10- 10- 10 20 30 40 50 60 x 10 20 30 40 50 60 x A b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a negative : linear relationship between a and y. c. Try to approximate the relationship between x and y by drawing a straight line through the data. Only one straight line can be drawn * to provide a linear approximation of the relationship between x and y. d. Develop the estimated regression equation by computing the values of bo and bị using equations: (Enter negative values as negative figure) (T; – 7)(yi – g) bị = i i bo = y – bịa 77.68 + 2.96 x (to 2 decimals) e. Use the estimated regression equation to predict the value of y when x = 6. 95.44 (to 2 decimals) B.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Related questions
Question
Transcribed Image Text:Given are five observations for two variables, x and y.
11
9.
22
18
Yi
59
48
54
13
21
a. Choose the correct scatter diagram for these data:
A.
y
y
60
60
50
50
40
40
30
30
-20
20
10+
10
10
20
30
40
50
60 X
10
20
30
40
50
60 x
C.
D.
y
y
60
60
50
50
40
30
30
y.
60
60-
50
50
40
40
30
30
10
10
10
20
30
40
50
60 X
10
20
30
40
50
60 x
A
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
There appears to be a
negative
+ linear relationship between x and y.
c. Try to approximate the relationship between x and y by drawing a straight line through the data.
Only one straight line can be drawn
+ to provide a linear approximation of the relationship between x and y.
d. Develop the estimated regression equation by computing the values of bo and b1 using equations: (Enter negative values as negative figure)
E(*; – 7)(yi – T)
bị
bo = y – bịa
77.68 +
2.96 x (to 2 decimals)
e. Use the estimated regression equation to predict the value of Y when x = 6.
95.44 (to 2 decimals)
20
B.
40
20
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