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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman