Best-Fit Line
We are given the scatter plot of the relationship between the width of a bird and its age.
The equation of a line can be written in a slope-intercept form as:
y = mx + b
Where m is the slope and b is the y-intercept of the line or the point where the line crosses the y-axis, mentioned in the question as to the point (0,b).
To find the value of b, we need to pay close attention to the intersection of the line and the y-axis.
The approximate value of b is b= 1.6
This value can be only estimated, as the graph does not provide enough precision to better locate the exact coordinates.
The slope of a line that passes through points (x1,y1) (x2,y2) is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We need to locate two clear points in the line. We select the points (3.5,12) and (4.5,15), thus:
[tex]m=\frac{15-12}{4.5-3.5}=\frac{3}{1}=3[/tex]
The approximate slope is m=3
