Given are five observations for two variables,
x
and
y
. \table[[
x_(i)
,1,2,3,4,5],[
y_(i)
,4,6,4,12,14]] (a) Develop a scatter diagram for these data. (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a positive linear relationship between
x
and
y
. There appears to be a negative linear relationship between
x
and
y
. There appears to be no noticeable relationship between
x
and
y
. (c) Try to approximate the relationship between
x
and
y
by drawing a straight line through the data. (d) Develop the estimated regression equation by computing the values of
b_(0)
and
b_(1)
using
b_(1)=(\sum (x_(1)-(\bar{x} ))(y_(1)-(/bar (y))))/(\sum (x_(1)-(\bar{x} ))^(2))
and
b_(0)()/(b)=ar (y)-b_(1)\bar{x}
. (e) Use the estimated regression equation to predict the value of
y
when
x=2
.