Question
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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