Provide the DF for this data II. What is the critical value of r in a two tailed test with the significance level set at .05? C.  Is this a significant correlation between X and Y? Use mathematical notation for your answer.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.6: Percents Problems
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I. Provide the DF for this data

II. What is the critical value of r in a two tailed test with the significance level set at .05?

C.  Is this a significant correlation between X and Y? Use mathematical notation for your answer.

Person X
Y
A
16
4.0
15.3 4.0
14.5 3.7
D
14.2 3.5
E
14.0 3.8
12.2 2.9
B.
Transcribed Image Text:Person X Y A 16 4.0 15.3 4.0 14.5 3.7 D 14.2 3.5 E 14.0 3.8 12.2 2.9 B.
Expert Solution
Step 1

Given Information:

X Y
16 4.0
15.3 4.0
14.5 3.7
14.2 3.5
14.0 3.8
12.2 2.9

Significance level α=0.05

(1) Degrees of freedom is obtained as follows:

DF=n-2=6-2=4

 

(2) To find the critical value of r in a two tailed test with the significance level set at .05:

Using critical value table for Pearson coefficient:

Critical values for a two tailed test at 4 degrees of freedom and 0.05 significance level are: -0.811 and +0.811

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