MATLAB: Help with Linear Regression

linear regression

I'm trying to conduct a simple linear regression fitting using fitlm, but the results that is provided when I plot the curve with the original data and the linear equation line found through fitlm is really off. I'm just using the first 20 data points from the list
mdl = fitlm(time(1:20),price(1:20))
mdl =
Linear regression model:
y ~ 1 + x1
Estimated Coefficients:
Estimate SE tStat pValue
__________ _______ _______ _________
(Intercept) 2.4736e+05 42743 5.7871 1.748e-05
x1 -5.7654 0.99663 -5.7849 1.756e-05
Number of observations: 20, Error degrees of freedom: 18
Root Mean Squared Error: 0.0178
R-squared: 0.65, Adjusted R-Squared 0.631
F-statistic vs. constant model: 33.5, p-value = 1.76e-05
Then I prepped for plot using.
x=time(1:20)
y1=2.4736e+05+(x*-5.7654)
plot(time(1:20),price(1:20),x,y1)
I would get this plot attached. I've also attached the data. Please help with a better fit or explanation as to why it is so far off. I'm not sure what I'm doing incorrectly.

Best Answer

This works:
d = load('liu James Linear .mat');
Price = d.Price;
time = d.time;
mdl = fitlm(time, Price, 'linear')
ypred = predict(mdl, [min(time) max(time)]');
figure(1)
plot(time, Price, '+')
hold on
plot([min(time) max(time)]', ypred, '-r')
hold off
grid