Hi, I am doing an assignment and need some help. How can I do vertical part lines (from ex. y=1 to y=3x+2), for x=1:1:10). Also, I do not know how to calculate the distance of such part-lines. How can I do this?

x=[1 2 3 4 5 6 7 8 9 10];
y=[17 7 15 13 17 34 35 30 46 31];

%% generating scatter plot for the above data sets
scatter(x,y)
title('Linear Regression Graph, (R=0.8264)');
ylabel('y-axis')
xlabel('x-axis')
hold on
X=[0 10];
Y= 3.37576*X + 5.93333;
plot(X,Y)

hold on
***(here is where I need help)***
for i=1:length(x)
%%xline(i);
plot([x(i) x(i)],[y(i) y(3.37576*i + 5.93333)]) 
(The line must touch the scatter points and touch the closest point on the line Y= 3.37576*X + 5.93333)
end

Answer 1

[Shubhankar Poundrik]

Hi Gabriel,

I understand that you need to find the minimum distance between two line segments. I am assuming that by part lines you mean line segments. The following steps will work:

Let this required distance be d.

For all the end points of the line segments (2 for each line segment, 4 total) find the distance to the other line segment. Let's call them d1,d2,d3 and d4.

To find these, for each end point (pi), find the distance between that point and the line of which the other line segment is a part (and let it be di) , and also the point at which the tangent from the point intersects the line. If the point of intersection is not on the line segment (does not meet constraints) then find the minimum of the distances between the point and the 2 end points of the other line segment and let it be di.

Then, d = min{d1,d2,d3,d4}

Regards,

Shubhankar

Answer 2

[darova]

here is a start

solve system of equations to find (coordinates of lines intersection)

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