Question - Determining Equation of Trend Line in Scatter Plot with Two Points
Solution:
To determine the equation of the trend line in a scatter plot, you usually need two points on the line to find the slope and then use one of these points to solve for the y-intercept.From the image provided, we can identify two points on the trend line. Let's select two points that clearly lie on the line and are easy to read:Point 1 (on the left end of the line): It looks like it crosses the y-axis at y = 1. This would make the point (0,1).Point 2 (somewhere on the line where it crosses a grid intersection): It's hard to tell exactly from this image, but let's assume it's (5,5).Next, we calculate the slope (m) using the formula:$$ m = \frac{(y_2 - y_1)}{(x_2 - x_1)} $$Plugging in the point values:$$ m = \frac{(5 - 1)}{(5 - 0)} $$$$ m = \frac{4}{5} = 0.8 $$With the slope of 0.8 and knowing the line crosses the y-axis at (0,1), we can write the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.Thus, the equation of the trend line is:y = 0.8x + 1Please note that the accuracy of this equation depends on how precisely we can read the points from the image. For a more accurate equation, a clear reading of exact points on the line or the actual data used to generate the scatter plot would be necessary.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com