A least-squares line y^=b0+b1x is fitted to n=26 paired observations. Only these summaries are available:
- sample standard deviation of x: sx=4
- sample standard deviation of y: sy=10
- correlation: r=−0.6
- total sum of squares: SST=∑(yi−yˉ)2=2500
Two standard facts you may use:
b1=rsxsy,r2=SSTSSR,where SST=SSR+SSE
Here SSR is the variation explained by the fitted line and SSE=∑(yi−y^i)2 is the leftover residual variation.
Which pair of values is correct?