Question

DATA SET

x |
y |

2.1 | 3.9 |

3.8 | 1.3 |

2.9 | 3.6 |

4.7 | 4.9 |

(a) **Draw a scatter diagram of the data.**

Compute the linear correlation coefficient. The linear correlation
coefficient for the four pieces of data
is**____________**

(b) **Draw a scatter diagram of the data with the
additional data point(10.4,9.3).**

Compute the linear correlation coefficient with the additional
data point. The linear correlation coefficient for the pieces of
data is**_________**

**Comment on the effect the additional data point has on
the linear correlation coefficient.**

A.The additional data point weakens the appearance of a linear association between the data points.

B.The additional data point strengthens the appearance of a linear association between the data points.

C. The additional data point does not affect the linear correlation coefficient

**Explain why correlations should always be reported with
the scatter diagram**

A.The scatter diagram can be used to distinguish between association and causation.

B.The scatter diagram is needed to determine if the correlation is positive or negative.

C.The scatter diagram is needed to see if the correlation coefficient is being affected by the presence of outliers.

Answer #1

b)

For the accompanying data set, (a) draw a scatter diagram of
the data, (b) compute the correlation coefficient, and (c)
determine whether there is a linear relation between x and y.
x
2
6
1
7
9
y
8
7
6
9
5

For the accompanying data set,
(a) draw a scatter diagram of the data,
(b) compute the correlation coefficient, and
(c) determine whether there is a linear relation between x and
y. LOADING... Click the icon to view the data set. LOADING...
Click the icon to view the critical values table.
(a) Draw a scatter diagram of the data. Choose the correct
graph below.
A. 0 10 0 10 x y A scatter diagram has a horizontal x-axis
labeled from 0...

For the accompanying data set, (a) draw a scatter diagram of
the data, (b) by hand, compute the correlation coefficient, and
(c) determine whether there is a linear relation between x and
y.
x y
2 4
4 8
6 12
6 12
7 20
Data set
x
22
44
66
66
77
y
44
88
1212
1212
2020
Critical Values for Correlation Coefficient
n
3
0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9
0.666
10...

Given the following sample data set.
X= 2 3 5 6 6
Y= 10 9 7 4 2
a. Draw a scatter diagram of the data. (using Ti 84)
b. Compute the correlation coefficient r. Then use 0.05
significance level to test whether there is a linear correlation
between x and y. (using Ti 84)

Given the following sample observations, draw a scatter diagram
on a separate piece of paper.
X:
−8
−17
13
4
16
Y:
53
247
155
1
339
Click here for the Excel Data File
Compute the correlation coefficient. (Round your answer
to 3 decimal places.)
Does the relationship between the variables appear to be
linear?
Yes
No
Try squaring the x variable and then determine the
correlation coefficient. (Round your answer to 3 decimal
places.)

(a) Draw a scatter diagram of the data. Choose the correct
graph below.
A.
010020xy
A scatter diagram has a horizontal x-axis labeled from 0 to 10
in increments of 1 and a vertical y-axis labeled from 0 to 20 in
increments of 2. The following 5 points are plotted, listed here
from left to right: (2, 4); (4, 8); (7, 12); (7, 14); (8, 18).
B.
010020xy
A scatter diagram has a horizontal x-axis labeled from 0 to 10...

Given the following sample observations, draw a scatter diagram
on a separate piece of paper.
X:
−7
−17
13
4
16
Y:
57
247
157
2
343
Compute the correlation coefficient. (Round your answer
to 3 decimal places.)
Does the relationship between the variables appear to be
linear?
Yes
No
Try squaring the x variable and then determine the
correlation coefficient. (Round your answer to 3 decimal
places.)

Consider the following data set consisting of two
variables:
x 0 3 5 6 8
y 10 9 7 4 1
(a) Draw a scatter diagram of the data.
(b) Compute the correlation coecient r.
(c) Is there a linear relation between x and y that you are condent
about? If so, in what direction? Justify your answer.

4. Use the given data set to complete parts (a) through (c)
below. (Use a=0.05.)
x
y
10
9.13
8
8.13
13
8.73
9
8.78
11
9.27
14
8.09
6
6.13
4
3.09
12
9.14
7
7.27
5
4.73
a. Construct a scatterplot
Find the linear correlation coefficient, r, then determine
whether there is sufficient evidence to support the claim of a
linear correlation between the two variables.
The linear correlation coefficient is r=_____.
(Round to three decimal places as...

This does not copy well! Looking for the Correlation
coefficient by hand.
For the accompanying data set, (a) draw a scatter diagram of
the data, (b) by hand, compute the correlation coefficient, and
(c) determine whether there is a linear relation between x and
y.
data set.
x - 2 4 6 6 7
y - 4 8 11 12 19
Click here to view the critical values table.
LOADING...
(a) Draw a scatter diagram of the data. Choose the...

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