Q:

hat is the equation of the trend line for the bivariate data shown in the scatter plot? Scatter plot shows trend line for bivariate data with coordinates (0, 0), (2, 6).

Accepted Solution

A:
Hello!

The trend line for the bivariate data shown in the scatter plot has the equation Y=3x

To determine the slope for a straight line (y=a*x+b)we take the two points that are shown and apply the following equation:

[tex]a= \frac{(y2-y1)}{(x2-x1)}= \frac{(6-0)}{(2-0)}=3 [/tex]Β 

To determine the intercept we put the slope which we calculated into the equation for the point (2,6) and clear for b

[tex]y=a*x+b \\ 6=3*2+b \\ 6=6+b \\ b=0[/tex]

So, the slope is 3 and the intercept is 0.Β