The wingspan of 127 butterfly specimens is an illustration of the line of best fit
- The equation of the line of best fit is y = 3x
- The slope means that as the wingspans increase and lengths of these butterflies increase
How to determine the equation of the line?
From the line of best fit of the graph (see attachment), we have the following points
(x,y) = (0,0) and (20,60)
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_1}{x_1} * x[/tex]
So, we have:
[tex]y = \frac{60}{20} * x[/tex]
[tex]y = 3x[/tex]
Hence, the equation of the line of best fit is y = 3x
Interpret the slope
In (a), we have the slope to be:
Slope = 3
The slope (3) is greater than 0.
This means that as the wingspans increase and lengths of these butterflies increase
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