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 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 bị using equations: (Enter negative values as negative figure) - 7)(yi – 9) b1 = (x; – 7)? bo = y – bị a 77.68 + 2.96 x (to 2 decimals) e. Use the estimated regression equation to predict the value of y when x = 6. ü = 95.44 (to 2 decimals)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Question
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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(t; – 7)(y: – T)
i
bị
bo = y – bịE
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
Transcribed Image Text:60 60- 50 50 40 40 30 30 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 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(t; – 7)(y: – T) i bị bo = y – bịE 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
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
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B.
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 40 30 30 B.
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