​(b) Calculate the sample correlation coefficient r.​(c) Describe the type of​ correlation, if​ any, and interpret the correlation in the context of the data.​(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient.

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​(b) Calculate the sample correlation coefficient r. ​(c) Describe the type of​ correlation, if​ any, and interpret the correlation in the context of the data. ​(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the 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) BUIUW.
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.
C.
O D.
3000-
* 2400-
* 1800-
1200-
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0+
8-
3000-
2400
* 1800-
1200-
600-
8-
6+
4-
4-
2-
2-
4 6 8
Age (years)
0+
1500
3000
Ó 2 4 6 8
Age (years)
1500
3000
Age (years)
Age (years)
(b) Calculate the sample correlation coefficient r.
r=
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3 parts
romoining
javascript:doExercise(13);
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) BUIUW. 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. C. O D. 3000- * 2400- * 1800- 1200- 600 0+ 8- 3000- 2400 * 1800- 1200- 600- 8- 6+ 4- 4- 2- 2- 4 6 8 Age (years) 0+ 1500 3000 Ó 2 4 6 8 Age (years) 1500 3000 Age (years) Age (years) (b) Calculate the sample correlation coefficient r. r= Enter your answer in the answer box and then click Check Answer. Check Answer Clear All 3 parts romoining javascript:doExercise(13);
3000
2400
1800
Data Table
1200
600
Age, x
Vocabulary size, y
1
7
2
250
elation coefficient r.
3
620
4
1200
5
2200
es as needed.)
2500
3
630
swer box and then d
2100
240
4
1100
2600
Print
Done
Vocabulary size
Vocabulary size
Transcribed Image Text:3000 2400 1800 Data Table 1200 600 Age, x Vocabulary size, y 1 7 2 250 elation coefficient r. 3 620 4 1200 5 2200 es as needed.) 2500 3 630 swer box and then d 2100 240 4 1100 2600 Print Done Vocabulary size Vocabulary size
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