The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient.
The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below.
Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient.
r= 0.973
(Round to three decimal places as needed.)
(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.
There is a strong positive linear correlation.
Interpret the correlation. Choose the correct answer below.
O A. Aging causes the number of words in children's vocabulary to increase.
O B. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabulary.
C. Based on the correlation, there does not appear to be a linear relationship between children's ages and the number of words in their vocabulary
O D. Aging causes the number of words in children's vocabulary to decrease.
E. As age increases, the number of words in chjldren's vocabulary tends to increase.
F. As age increases, the number of words in children's vocabulary tends to decrease.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3de604f-28a2-4216-80b1-f15220910c97%2Fc19581b2-b9d7-4794-8c0b-fd7c2586772c%2F2qaei04_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below.
Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient.
r= 0.973
(Round to three decimal places as needed.)
(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.
There is a strong positive linear correlation.
Interpret the correlation. Choose the correct answer below.
O A. Aging causes the number of words in children's vocabulary to increase.
O B. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabulary.
C. Based on the correlation, there does not appear to be a linear relationship between children's ages and the number of words in their vocabulary
O D. Aging causes the number of words in children's vocabulary to decrease.
E. As age increases, the number of words in chjldren's vocabulary tends to increase.
F. As age increases, the number of words in children's vocabulary tends to decrease.
![The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below.
Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient.
...
Interpret the correlation. Choose the correct answer below.
O A. Aging causes the number of words in children's vocabulary to increase.
B. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabulary.
O C. Based on the correlation, there does not appear to be a linear relationship between children's ages and the n
O D. Aging causes the number of words in children's vocabulary to decrease.
CE. As age increases, the number of words in children's vocabulary tends to increase.
there is a significant linear correlation
O F. As age increases, the number of words in children's vocabulary tends to decrease.
there is no correlation
(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation c
between
Therefore, there
sufficient evidence at the 1% level of significance to conclude that
The critical value is
children's ages and the number of words in their vocabulary.
(Round to three decimal places as needed.)
Clear all
Check answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3de604f-28a2-4216-80b1-f15220910c97%2Fc19581b2-b9d7-4794-8c0b-fd7c2586772c%2Fkvcdfle_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below.
Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient.
...
Interpret the correlation. Choose the correct answer below.
O A. Aging causes the number of words in children's vocabulary to increase.
B. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabulary.
O C. Based on the correlation, there does not appear to be a linear relationship between children's ages and the n
O D. Aging causes the number of words in children's vocabulary to decrease.
CE. As age increases, the number of words in children's vocabulary tends to increase.
there is a significant linear correlation
O F. As age increases, the number of words in children's vocabulary tends to decrease.
there is no correlation
(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation c
between
Therefore, there
sufficient evidence at the 1% level of significance to conclude that
The critical value is
children's ages and the number of words in their vocabulary.
(Round to three decimal places as needed.)
Clear all
Check answer
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