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(Solved): 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] ...



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

.

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