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 coefficie (b) Calculate the sample correlation coefficient r. (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 linear correlation. Interpret the correlation. Choose the correct answer below. O A. As age increases, the number of words in children's vocabulary tends to increase. B. As age increases, the number of words in children's vocabulary tends to decrease. OC. Aging causes the number of words in children's vocabulary to increase. OD. Aging causes the number of words in children's vocabulary to decrease. O E. 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 E 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 (d) Use the table of critical values for the Pearson correlation.coefficient to make a conolusion about the correlation coefficient. Let a = 0.01. The critical value is Therefore, there V sufficient evidence at the 1% level of significance to conclude

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
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 coefficie
(b) Calculate the sample correlation coefficient r.
(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
linear correlation.
Interpret the correlation. Choose the correct answer below.
OA. As age increases, the number of words in children's vocabulary tends to increase.
B.
As age increases, the number of words in children's vocabulary tends to decrease.
(O.C. Aging causes the number of words in children's vocabulary to increase.
OD. Aging causes the number of words in children's vocabulary to decrease.
GE. Based on the correlation, there does not appear to be any relationship between children's ages and the
Inumber of words in their vocabulary.
O.F.
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
(d) Use the table of critical values for the Pearson correlation .coefficient to make a conolusion about the
correlation coefficient. Let a = 0.01.
The criticalvalue is
Therefore, there
Vsufficlent evidence at the 1% level of significance to conelude
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 coefficie (b) Calculate the sample correlation coefficient r. (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 linear correlation. Interpret the correlation. Choose the correct answer below. OA. As age increases, the number of words in children's vocabulary tends to increase. B. As age increases, the number of words in children's vocabulary tends to decrease. (O.C. Aging causes the number of words in children's vocabulary to increase. OD. Aging causes the number of words in children's vocabulary to decrease. GE. Based on the correlation, there does not appear to be any relationship between children's ages and the Inumber of words in their vocabulary. O.F. 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 (d) Use the table of critical values for the Pearson correlation .coefficient to make a conolusion about the correlation coefficient. Let a = 0.01. The criticalvalue is Therefore, there Vsufficlent evidence at the 1% level of significance to conelude
Data table
Age, x
Vocabulary size, y
250
580
2.
3.
1100
2100
2600
550
2400
270
1200
2500
9.
Print
Done
Transcribed Image Text:Data table Age, x Vocabulary size, y 250 580 2. 3. 1100 2100 2600 550 2400 270 1200 2500 9. Print Done
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman