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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.

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=3.66673.6667,

s Subscript xsxequals=2.42212.4221,

y overbaryequals=3.90003.9000,

s Subscript ysyequals=1.89211.8921,

and

requals=negative 0.94260.9426,

determine the least-squares regression line.

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

x

00

22

33

55

66

66

y

5.85.8

5.85.8

5.25.2

2.62.6

1.81.8

2.22.2

Question content area bottom

Part 1

(a) Choose the correct graph below.

A.

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: (0,1.8), (2,2.2), (3,2.6), (5,5.2), (6,5.8), (6,5.8). 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: (0,5.8), (2,5.8), (3,5.2), (5,2.6), (6,1.8), (6,2.2). 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: (5.8,0), (5.8,2), (5.2,3), (2.6,5), (1.8,6), (2.2,6). All horizontal 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: (0,0.2), (2,0.2), (3,0.8), (5,3.4), (6,4.2), (6,3.8). All vertical coordinates are approximate.

Part 2

There appears to be

a linear, negative

relationship.

Part 3

(b)

ModifyingAbove y with caretyequals=enter your response herexplus+left parenthesis nothing right parenthesisenter your response here

(Round to three decimal places as needed.)

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