Question

1)      Do linear regression (includes line, r-coefficient) for data taken from a thermocouple during calibration for:

Voltage (Volts)	Temperature (ºC)
0.032	0
0.063	10
0.16	25
0.29	50
0.36	63
0.51	75
0.63	100

Answer 1

Hello,
          Please find the answer attached as under. Please give a thumbs up rating if you find the answer useful! Have a rocking day ahead!

NOTE: I have used Matlab to do the regression. Please find the code and output below:

Matlab Code:

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% linear regression on set of data

Y = [0.032;0.063;0.16;0.29;0.36;0.51;0.63];         % input data
X = [1 0;1 10;1 25;1 50;1 63;1 75;1 100];
B = X\Y;                                            % calculating regression coefficient
clc;
fprintf('The regression coefficient is r = %f\n',B(2));
x = X(:,2);
%%%%%%%%%% Plotting routines
scatter(x,Y)
hold;
plot(x,(B(2)*x)+B(1));
grid;
xlabel('X');
ylabel('Y');
title('Regression plot between X and Y')

**********************

Output: