Consider the following pairs of measurements. x 4 3 −1 2 8 6 4 y 3 4 0 1 9 5 3 Question content area bottom Part 1 a. Co
Posted: Wed May 11, 2022 11:23 am
Consider the following pairs of measurements.
x
4
3
−1
2
8
6
4
y
3
4
0
1
9
5
3
Question content area bottom
Part 1
a. Construct a scatterplot of these data.
Choose the correct graph below.
A.
05-410510xy
A scatterplot has a horizontal x-axis labeled from negative 4 to
10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in
increments of 1. Seven plotted points are located in the plot in
such a way that they closely follow the trend of a line that falls
from left to right and have coordinates as follows: (4, 3), (3, 5),
(negative 1, 9), (2, 1), (8, 0), (6, 4), (4, 3).
B.
05-410510xy
A scatterplot has a horizontal x-axis labeled from negative 4 to
10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in
increments of 1. Six plotted points are located in the plot in such
a way that they closely follow the trend of a line that rises from
left to right and have coordinates as follows: (3, 4), (4, 3), (1,
2), (9, 8), (5, 6), (3, 4).
C.
05-410510xy
A scatterplot has a horizontal x-axis labeled from negative 4 to
10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in
increments of 1. Seven plotted points are located in the plot in
such a way that they closely follow the trend of a line that rises
from left to right and have coordinates as follows: left
parenthesis 4 comma 3 right parenthesis comma left parenthesis 3
comma 4 right parenthesis comma left parenthesis negative 1 comma 0
right parenthesis comma left parenthesis 2 comma 1 right
parenthesis comma left parenthesis 8 comma 9 right parenthesis
comma left parenthesis 6 comma 5 right parenthesis comma left
parenthesis 4 comma 3 right parenthesis .Your answer is
correct.
D.
05-410510xy
A scatterplot has a horizontal x-axis labeled from negative 4 to
10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in
increments of 1. Seven plotted points are located in the plot in
such a way that they loosely follow the trend of a line that rises
from left to right and have coordinates as follows: (4, 9), (3, 7),
(negative 1, 0), (2, 1), (8, 7), (6, 5), (4, 3).
Part 2
b. What does the scatterplot suggest about the relationship
between x and y?
A.
As x increases, y tends to decrease. Thus, there appears
to be a negative, linear
relationship between x and y.
B.
As x increases, y tends to increase. Thus, there appears
to be a negative, linear
relationship between x and y.
C.
As x increases, y tends to decrease. Thus, there appears
to be a positive, linear
relationship between x and y.
D.
As x increases, y tends to increase. Thus, there appears
to be a positive, linear
relationship between x and y.
Your answer is correct.
Part 3
c. Find the least squares estimates of
β0
and
β1.
β1=enter your response here
β0=enter your response here
(Round to three decimal places as needed.)
x
4
3
−1
2
8
6
4
y
3
4
0
1
9
5
3
Question content area bottom
Part 1
a. Construct a scatterplot of these data.
Choose the correct graph below.
A.
05-410510xy
A scatterplot has a horizontal x-axis labeled from negative 4 to
10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in
increments of 1. Seven plotted points are located in the plot in
such a way that they closely follow the trend of a line that falls
from left to right and have coordinates as follows: (4, 3), (3, 5),
(negative 1, 9), (2, 1), (8, 0), (6, 4), (4, 3).
B.
05-410510xy
A scatterplot has a horizontal x-axis labeled from negative 4 to
10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in
increments of 1. Six plotted points are located in the plot in such
a way that they closely follow the trend of a line that rises from
left to right and have coordinates as follows: (3, 4), (4, 3), (1,
2), (9, 8), (5, 6), (3, 4).
C.
05-410510xy
A scatterplot has a horizontal x-axis labeled from negative 4 to
10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in
increments of 1. Seven plotted points are located in the plot in
such a way that they closely follow the trend of a line that rises
from left to right and have coordinates as follows: left
parenthesis 4 comma 3 right parenthesis comma left parenthesis 3
comma 4 right parenthesis comma left parenthesis negative 1 comma 0
right parenthesis comma left parenthesis 2 comma 1 right
parenthesis comma left parenthesis 8 comma 9 right parenthesis
comma left parenthesis 6 comma 5 right parenthesis comma left
parenthesis 4 comma 3 right parenthesis .Your answer is
correct.
D.
05-410510xy
A scatterplot has a horizontal x-axis labeled from negative 4 to
10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in
increments of 1. Seven plotted points are located in the plot in
such a way that they loosely follow the trend of a line that rises
from left to right and have coordinates as follows: (4, 9), (3, 7),
(negative 1, 0), (2, 1), (8, 7), (6, 5), (4, 3).
Part 2
b. What does the scatterplot suggest about the relationship
between x and y?
A.
As x increases, y tends to decrease. Thus, there appears
to be a negative, linear
relationship between x and y.
B.
As x increases, y tends to increase. Thus, there appears
to be a negative, linear
relationship between x and y.
C.
As x increases, y tends to decrease. Thus, there appears
to be a positive, linear
relationship between x and y.
D.
As x increases, y tends to increase. Thus, there appears
to be a positive, linear
relationship between x and y.
Your answer is correct.
Part 3
c. Find the least squares estimates of
β0
and
β1.
β1=enter your response here
β0=enter your response here
(Round to three decimal places as needed.)