The "slope" of the linear equation is given by: -59.79=
The "intercept" is given by: 95.74=
r^2=0.4356, r=0.66.
Let A=S(X-µ(X))(Y-µ(Y)) where X and Y are within the dataset and µ() denotes the mean of X or Y as shown in parentheses. S means "sum of". What follows S is the set of computations that have to be added for the complete dataset. N is the number of (X,Y) pairs in the dataset.
If m is the slope, m=A/S(X-µ(X)^2). Intercept=µ(Y)-mµ(X); r=A/Ns(X)s(Y), where s() is the standard deviation of the bracketed set. s is the square root of the variance and the variance, v()=(S(X|Y-µ())^2)/N or, in words, the sum of the squares of the differences between each datum and the mean, all divided by the number of data pairs. v(X)=S(X-µ(X))^2/N, so m=A/Nv(X).
More...