Question

a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y.

​(b) Given that

x overbarxequals=4.00004.0000​,

s Subscript xsxequals=2.09762.0976​,

y overbaryequals=3.25003.2500​,

s Subscript ysyequals=1.76951.7695​,

and

requals=negative 0.9430−0.9430​,

determine the​ least-squares regression line.

​(c) Graph the​ least-squares regression line on the scatter diagram drawn in part​ (a).

x	11	22	44	55	66	66
y	4.94.9	5.45.4	4.14.1	2.22.2	1.41.4	1.51.5

​(a) Choose the correct graph below.

A.

0606xy

Edit Coordinates(0,0)

A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following six points are plotted, listed from left to right: (1,1.4), (2,1.6), (4,2.2), (5,4.2), (6,5), (6,5.4). All vertical coordinates are approximate.

B.

0606xy

Edit Coordinates(0,0)

A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following six points are plotted, listed from left to right: (1,5), (2,5.4), (4,4.2), (5,2.2), (6,1.4), (6,1.6). All vertical coordinates are approximate.Your answer is correct.

C.

0606xy

Edit Coordinates(0,0)

A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following six points are plotted, listed from left to right: (1,1.2), (2,0.6), (4,2), (5,3.8), (6,4.6), (6,4.6). All vertical coordinates are approximate.

D.

0606xy

Edit Coordinates(0,0)

A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following six points are plotted, listed from left to right: (5,1), (5.4,2), (4.2,4), (2.2,5), (1.4,6), (1.6,6). All horizontal coordinates are approximate.There appears to be

a linear, negative

relationship.​(b)

ModifyingAbove y with caretyequals=nothing xplus+left parenthesis nothing right parenthesis

​(Round to three decimal places as​ needed.)

0606xy

A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following six points are plotted, listed from left to right: (1,1.4), (2,1.6), (4,2.2), (5,4.2), (6,5), (6,5.4). All vertical coordinates are approximate.

B.

0606xy

A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following six points are plotted, listed from left to right: (1,5), (2,5.4), (4,4.2), (5,2.2), (6,1.4), (6,1.6). All vertical coordinates are approximate.Your answer is correct.

C.

0606xy

A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following six points are plotted, listed from left to right: (1,1.2), (2,0.6), (4,2), (5,3.8), (6,4.6), (6,4.6). All vertical coordinates are approximate.

D.

0606xy

A scatter diagram has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. The following six points are plotted, listed from left to right: (5,1), (5.4,2), (4.2,4), (2.2,5), (1.4,6), (1.6,6). All horizontal coordinates are approximate.

There appears to be

a linear, negative

relationship.

​

A data set is given below.

​(a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y.

​(b) Given that

x overbarxequals=4.00004.0000​,

s Subscript xsxequals=2.09762.0976​,

y overbaryequals=3.25003.2500​,

s Subscript ysyequals=1.76951.7695​,

and

requals=negative 0.9430−0.9430​,

determine the​ least-squares regression line.

​(c) Graph the​ least-squares regression line on the scatter diagram drawn in part​ (a).

x	11	22	44	55	66	66
y	4.94.9	5.45.4	4.14.1	2.22.2	1.41.4	1.51.5

Answer 1

A)

B)

y = a+ b x

b = r * sy / sx

= -0.7955

a = ybar - b* xbar

= 6.4318

hence

y^= 6.4318 - 0.7955 x

C)

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