A data set is given below. (a) Draw a scatter diagram. Comment on the type of re
ID: 3334893 • Letter: A
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.
(b) Given that
x overbarxequals=3.8333,
s Subscript xsxequals=2.4014,
y overbaryequals=3.9000,
s Subscript ysyequals=1.8100,
and
requals=negative 0.9387,
determine the least-squares regression line.
(c) Graph the least-squares regression line on the scatter diagram drawn in part (a).
x
00
22
44
55
66
66
y
5.9
5.9
4.6
2.9
1.9
2.2
(a) Choose the correct graph below.
A.
06xy
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: (6,0), (6,2), (4.6,4), (3,5), (2,6), (2.2,6). All horizontal coordinates are approximate.
B.
06xy
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: (0,2), (2,2.2), (4,3), (5,4.6), (6,6), (6,6). All vertical coordinates are approximate.
C.
06xy
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: (0,6), (2,6), (4,4.6), (5,3), (6,2), (6,2.2). All vertical coordinates are approximate.
D.
06xy
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: (0,0.2), (2,0.2), (4,1.4), (5,3.2), (6,4.2), (6,3.8). All vertical coordinates are approximate.
There appears to be
a linear, positive
no
a linear, negative
a nonlinear
a constant
relationship.
(b)
ModifyingAbove y with caretyequals=nothing xplus+left parenthesis nothing right parenthesis
(Round to three decimal places as needed.)
(c) Choose the correct graph below.
A.
06xy
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: (0,6), (2,6), (4,4.6), (5,3), (6,2), (6,2.2). A line falling from left to right passes through the points (1,6) and (6,2.4). All vertical coordinates are approximate. The line passes within 1 vertical unit of all plotted points.
B.
06xy
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: (0,6), (2,6), (4,4.6), (5,3), (6,2), (6,2.2). All vertical coordinates are approximate. A line falling from left to right passes through the points (1,6) and (6,2.4). All vertical coordinates are approximate. The line passes within 2 vertical units of all plotted points.
C.
06xy
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: (0,2), (2,2.2), (4,3), (5,4.6), (6,6), (6,6). A line rising from left to right passes through the points (0,2) and (6,6). All vertical coordinates are approximate. The line passes within 2 vertical units of all plotted points.
D.
06xy
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: (0,0.2), (2,0.2), (4,1.4), (5,3.2), (6,4.2), (6,3.8). A line, rising from left to right, passes through the points (1,0) and (6, 4.4). All vertical coordinates are approximate. The line passes within 2 vertical units of all plotted points.
More
Less
Click to select your answer(s).
x
00
22
44
55
66
66
Open in StatCrunch + Copy to Clipboard + Open in Excel +y
5.9
5.9
4.6
2.9
1.9
2.2
Explanation / Answer
a)
option C) is correct
b)
a linear, negative
c)
option A) or B) is correct
since you didn't provide actual graph, it is difficult to answer
option A) is more appropriate here
x y y^ 0 5.9 6.612139 2 5.9 5.197119 4 4.6 3.782099 5 2.9 3.074589 6 1.9 2.367079 6 2.2 2.367079