# Why must the R-Squared value of a regression be less than 1?

##### 1 Answer

Oct 27, 2015

#### Explanation:

Note that

So

#SSE ge 0#

#implies SSReg +SSE ge SSReg#

#implies SST ge SSReg#

#implies (SSReg)/(SST) le 1#

#implies R^2 le 1#