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 coefficiant., (a) Display the data in a scatter plot. Choose the correct graph below. O A OB. O B. OC. OD. 3000 2400 1800 1200- 3000 2400- 1800 1200 600 i500 3000 Age (years) 1500 3000 Age (years) Age (years) Age (years) (b) Calculate the sample correlation coefficient r. (Round to three decimal places as needed.) O Data Table - X (c) Describe the type of correlation, If any, and interpret the correlation in the context of the data. There is V linear correlation. Age, x Vocabulary size, y 1 7 Interpret the correlation. Choose the correct answer below. 250 3 620 O A. 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 B. Aging causes the number of words in children's vocabulary to decrease. OC. As age increases, the number of words in children's vocabulary tends to increase. OD. Aging causes the number of words in children's vocabulary to increase. 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. OF. As age increases, the number of words in children's vocabulary tends to decrease. 4 1100 5 2100 6 2500 3 540 5 2300 2 260 4 1200 2300 Print Done

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 12PPS

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Question

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.
(a) Display the data in a scatter plot. Choose the correct graph below.
O A.
OB.
OC.
OD.
3000-
3000-
N 2400-
1800-
1200-
600-
0-
0 2 4 6 8
Age (years)
8-
8-
2400-
1800-
1200-
600-
0-
0 2
Age (years)
::
6-
4-
%3B
1500
3000
4 6
1500
3000
Age (years)
Age (years)
(b) Calculate the sample correlation coefficient r.
- X
Data Table
(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
V linear correlation.
Age, x
Vocabulary size, y
1
7
Interpret the correlation. Choose the correct answer below.
2
250
3
620
O A. 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
4
1100
O B. Aging causes the number of words in children's vocabulary to decrease.
5
2100
OC. As age increases, the number of words in children's vocabulary tends to increase.
6
2500
3
540
O D. Aging causes the number of words in children's vocabulary to increase.
5
2300
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.
2
260
O F. As age increases, the number of words in children's vocabulary tends to decrease.
4
1200
2300
Print
Done
Vocabulary s
/ocabulary s
/ocabulary size

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