We consider linear regression with known standard deviation

=1.

After collecting 48 data points, we have the following summary statistics:

48

Xi=5.671304,

i=1

48

Yi=33.06696,

i=1

48

(XiX)^2=44.12922,

i=1

48

(YiY)^2=236.5728

i=1

and

48

(XiX)(YiY)=88.99019.

i=1

Predict the y-value

Y49

that would be paired with a new x-value

X49=3.