Find the linear model for data points (7,-3) and (-1,-1). Use both methods to find the interpolant.

1. Find the linear model for data points Use both methods to find the interpolant.

[the cyclist]

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Answer 1

[Shree Charan]

The "polyfit" function may be used to find the linear model.

% Define the data points
x = [7, -1];
y = [-3, -1];
% Find the coefficients of the linear model
p = polyfit(x, y, 1);
slope = p(1);
intercept = p(2);

You can refer to the following MATLAB documentation to learn more about the “polyfit” function.

Polynomial curve fitting - MATLAB polyfit - MathWorks India

Further you can find interpolants using the "interp1" function

% Define the query points
xq = -5:0.1:8;
% Find the interpolated values using linear interpolation
yq = interp1(x, y, xq, 'linear');
% Plot the results
plot(x, y, 'o', xq, yq, '-');
xlabel('x');
ylabel('y');
legend('Data Points', 'Interpolant');

You can refer to the following MATLAB documentation to learn more about the "interp1" function.

1-D data interpolation (table lookup) - MATLAB interp1 - MathWorks India