а) 50 53 90 54 35 41 s0 91 35 61 60 48 71 71 40 56 60 55 68 60 65 36 40 47 35 11 55 53 60 70 50 68 90 35 65 79 59 57 50 79 A data set consist of dependent variable (v) and independent variable (x) are shown above. It is claims that the relationship between the x and y can be modelled through a regression model as follows: j =a+bx where a and ò are the estimated values for a and ß (refer to Appendix). Determine the equation of the regression line to predict the y value from the x value. (ii) If the y value is 60, what is the value of x?
а) 50 53 90 54 35 41 s0 91 35 61 60 48 71 71 40 56 60 55 68 60 65 36 40 47 35 11 55 53 60 70 50 68 90 35 65 79 59 57 50 79 A data set consist of dependent variable (v) and independent variable (x) are shown above. It is claims that the relationship between the x and y can be modelled through a regression model as follows: j =a+bx where a and ò are the estimated values for a and ß (refer to Appendix). Determine the equation of the regression line to predict the y value from the x value. (ii) If the y value is 60, what is the value of x?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
I want the answer for (i) and (ii).
Please do not use excel.
Transcribed Image Text:50
53
90
54
35
41
80
91
35
61
60
48
40
56
60
71
55
68
60
71
65
36
40
47
35
11
55
53
60
70
50
68
90
79
65
57
35
59
50
79
A data set consist of dependent variable (v) and independent variable (x) are shown
above. It is claims that the relationship between the x and y can be modelled through a
regression model as follows:
ŷ = a+bx
where a and b are the estimated values for a and B (refer to Appendix).
Determine the equation of the regression line to predict the y value from the x
value.
(11
If the y value is 60, what is the value of x?
(iii) Test the hypothesis that a=10 against the alternative a <10. Use a 0.05 level of
significance.
(iv)
Construct a 95% confidence interval for the average y with x=35.
Transcribed Image Text:Appendix: QUESTION 4
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
0.45351335
0.20567436
0.16154515
Standard Error
16.174739
Observations
20
ANOVA
df
SS
MS
F
Significance F
Regression
1
1219.350728
1219.350728
4.66073144
0.044607262
Residual
18
4709.199272 261.6221818
Total
19
5928.55
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
32.50591447
12.63862114 2.571951015 0.019197049
5.953156759 59.05867218
0.471064604
0.21819934 2.158872724 0.044607262
0.012644801 0.929484407
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman