The table below gives the population by sex and year of the four regions of Mälardalen over the period 2015-2021 (the data is from SCB). Närke men women Södermanland men women Västmanland men women Uppland men women Population by region, sex and year 2015 2016 2017 2018 2019 2020 2021 102 102 103 913 106 092 107 941 109 345 110 020 110 558 103 189 104 463 106 501 108 245 109 435 109 970 110 573 648 022 658 795 669 369 680 420 689 201 692 993 697 688 653 006 661 682 670 687 679 901 688 047 691 637 696 084 153 529 155 770 157 521 158 913 159 919 160 476 161 286 151983 153 587 154 964 156 087 156 993 157 388 158 187 782 653 799 121 816 230 830 513 844 560 851 677 863 723 790 143 803 531 817 405 829 911 841 911 849 121 860 042 A. For each of the groups, do a scatter plot. For which cases does the plots suggest the use of a simple linear regression model? B. Calculate estimates of the slopes and intercepts of the regression lines. C. Calculate estimates of the standard deviations. D. Compute the coefficients of determination. Using this as a measure, which case is best modelled by linear regression?

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
The table below gives the population by sex and year of the four regions of Mälardalen over the
period 2015-2021 (the data is from SCB).
Närke
men
women
Södermanland
men
women
Västmanland
men
women
Uppland
men
women
Population by region, sex and year
2015 2016 2017 2018 2019 2020 2021
102 102 103 913 106 092 107 941 109 345 110 020 110 558
103 189 104 463 106 501 108 245 109 435 109 970 110 573
648 022 658 795 669 369 680 420 689 201 692 993 697 688
653 006 661 682 670 687 679 901 688 047 691 637 696 084
153 529 155 770 157 521 158 913 159 919 160 476 161 286
151 983 153 587 154 964 156 087 156 993 157 388 158 187
782 653 799 121 816 230 830 513 844 560 851 677 863 723
790 143 803 531 817 405 829 911 841 911 849 121 860 042
A. For each of the groups, do a scatter plot. For which cases does the plots suggest the use of a
simple linear regression model?
B. Calculate estimates of the slopes and intercepts of the regression lines.
C. Calculate estimates of the standard deviations.
D. Compute the coefficients of determination. Using this as a measure, which case is best modelled
by linear regression?
Transcribed Image Text:The table below gives the population by sex and year of the four regions of Mälardalen over the period 2015-2021 (the data is from SCB). Närke men women Södermanland men women Västmanland men women Uppland men women Population by region, sex and year 2015 2016 2017 2018 2019 2020 2021 102 102 103 913 106 092 107 941 109 345 110 020 110 558 103 189 104 463 106 501 108 245 109 435 109 970 110 573 648 022 658 795 669 369 680 420 689 201 692 993 697 688 653 006 661 682 670 687 679 901 688 047 691 637 696 084 153 529 155 770 157 521 158 913 159 919 160 476 161 286 151 983 153 587 154 964 156 087 156 993 157 388 158 187 782 653 799 121 816 230 830 513 844 560 851 677 863 723 790 143 803 531 817 405 829 911 841 911 849 121 860 042 A. For each of the groups, do a scatter plot. For which cases does the plots suggest the use of a simple linear regression model? B. Calculate estimates of the slopes and intercepts of the regression lines. C. Calculate estimates of the standard deviations. D. Compute the coefficients of determination. Using this as a measure, which case is best modelled by linear regression?
Expert Solution
steps

Step by step

Solved in 6 steps with 45 images

Blurred answer
Similar 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