Calculating the slope of a series of values

Question

I have 2 arrays of equal length. The following function attempts to calculate the slope using these arrays. It returns the average of the slope between each points. For the foll

Answer 1

I bet the other two methods are computing the least-squares fit, whereas you are not.

When I verify this conjecture using R, I too get the slope of about 0.755:

> summary(lm(y~x))

Call:
lm(formula = y ~ x)

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -1.265e+03  1.793e+02  -7.053 5.97e-05 ***
x            7.551e-01  9.155e-02   8.247 1.73e-05 ***

The relevant number is the 7.551e-01. It is also worth noting that the line has an intercept of about -1265.

Here is a picture of the least-squares fit:

As to implementing this in your code, see Compute least squares using java