the accompanying table shows the ages​ (in years) of 11 children and the numbers of words in their vocabulary.  Age, x    Vocabulary size, y 1    3 2    260 3    590 4    1100 5    1900 6    2500 3    730 5    2200 2    250 4    1300 6    2400 1. Calculate the sample correlation coefficient r. 2. Describe the type of​ correlation, if​ any, and interpret the correlation in the context of the data. 3. Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let α=0.01.

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 24PFA
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the accompanying table shows the ages​ (in years) of 11 children and the numbers of words in their vocabulary. 

Age, x    Vocabulary size, y
1    3
2    260
3    590
4    1100
5    1900
6    2500
3    730
5    2200
2    250
4    1300
6    2400

1. Calculate the sample correlation coefficient r.

2. Describe the type of​ correlation, if​ any, and interpret the correlation in the context of the data.

3. Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let α=0.01.

 

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