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Plot the points and draw a line of best fit.

Algebra
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The table gives the average weights in kg of chimpanzees from birth to age 10.

Age

0 (birth)

1

2

3

4

5

6

7

8

9

10

Weight (kg)

4.4

9.1

11.3

13.6

15.0

17.2

20.4

22.2

25.4

28.1

31.3


Plot the points and draw a line of best fit.
Mar 21st, 2015

To be honest, this sounds less like an algebra question... The line of best fit probably means fitting to least squares. That means minimising the total squared distance between the y-co-ordinates of your fitted line, and the true y-values, for each x. It's a very long process to do by hand, but is very easy in a program like MS Excel. For example you can enter the values, create a scatter plot with age on the x-axis and weight on the y-axis, then select the graph and "Add Trendline". Choose linear (you can also tell it to show you the equation, y=mx+c, and the R2, which is a measure of how well it fits from 0 (totally random) to 1 (perfect).

Note that minimising distance is close to the way humans would judge the "fit" by eye - so you can usually get a pretty close line to the actual "best fit" just by trying to draw a straight line through the data yourself!

Mar 21st, 2015

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Mar 21st, 2015
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Mar 21st, 2015
Dec 2nd, 2016
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