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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).

Number of families with children living at home
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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