Question
The table below gives the number of Swedish families with children (age 0-17) living at home over the period 2014-2021. The data is divided into
The table below gives the number of Swedish families with children (age 0-17) living at home over the period 2014-2021. The data is divided into groups depending on the total number of children in the family. (The data below is from SCB).
2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | |
---|---|---|---|---|---|---|---|---|
Children | ||||||||
1 | 470 817 | 472 094 | 475 794 | 480 073 | 484 864 | 488 506 | 492 356 | 494 448 |
2 | 473 340 | 482 034 | 491 863 | 500 520 | 508 409 | 515 536 | 518 857 | 522 202 |
3 | 133 824 | 137 868 | 142 831 | 146 825 | 150 006 | 151 952 | 152 171 | 153 072 |
4 | 25 905 | 27 150 | 28 810 | 30 393 | 31 365 | 31 783 | 31 657 | 31 755 |
5 | 6 176 | 6 687 | 7 302 | 7 809 | 8 040 | 8 329 | 8 370 | 8 356 |
6 | 2 210 | 2 254 | 2 473 | 2 675 | 2 788 | 2 800 | 2 733 | 2 628 |
7 | 790 | 894 | 928 | 957 | 1 042 | 1 078 | 1 031 | 929 |
8 | 353 | 352 | 393 | 445 | 421 | 388 | 356 | 323 |
9 | 139 | 147 | 158 | 152 | 151 | 123 | 105 | 114 |
10+ | 89 | 95 | 86 | 74 | 86 | 88 | 75 | 64 |
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?
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