Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.

Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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Question

Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.)
9
8
8.14
13
8.75
8.76
X
y
Click here to view a table of critical values for the correlation coefficient.
a. Construct a scatterplot. Choose the correct graph below.
OA.
Ay
10+
8-
6-
4-
10
9.13
2-
0-
0
......
8 12 16
Q
Q
5
OB.
Ay
10+
8-
6-
.
4-
2-
0-
000001
4
12 16
Q
11
9.26
14
8.11
CIT
OC.
AY
OA. There is insufficient evidence to support the claim of a linear correlation between the two variables.
OB. There is sufficient evidence to support the claim of a linear correlation between the two variables.
OC. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables.
D. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables.
10-
8
6-
4-
2-
0+
B
www
6
6.13
4 8 12 16
G
4
3.09
10
D.
Ay
8-
6
4-
2-
12
9.13
0
+
A
8
12 16
7
7.26
Clear all
Q
Q
G
b. 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= 0.818
(Round to three decimal places as needed.)
Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.
5
4.74
Check answer
19

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

Expert Solution