The accompanying table shows the âges (in years) of 11 Chliun Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient AL DUR r= 976 (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. OA. As age increases, the number of words in children's vocabulary tends to decrease. OB. Aging causes the number of words in children's vocabulary to decrease. C. As age increases, the number of words in children's vocabulary tends to increase. O D. 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 OE Aging causes the number of words in children's vocabulary to increase. OF Based on the correlation, there does not appear to be any 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 conclusion about the correlation coefficient. Let a=0.01 Therefore, there V sufficient evidence at the 1% level of significance to conclude that The critical value is between children's ages and the number of words in their vocabulary (Round to three decimal places as needed)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.1: Stem-and-leaf Plots And Histograms
Problem 10E
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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
...
(a) Display the data in a scatter plot. Choose the correct graph below.
O A.
Oc.
OD.
3000-
N 2400-
E 1800-
1200-
8-
3000-
* 2400-
1800-
1200-
600-
6-
4-
2-
600-
0+
0246 8
Age (years)
->
2 46
1500
3000
Age (years)
1500
Age (years)
3000
Age (years)
(b) Calculate the sample correlation coefficient r.
r= 976
(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. As age increases, the number of words in children's vocabulary tends to decrease.
Vocabulary size
Vocabulary size
Vocabulary size
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 ... (a) Display the data in a scatter plot. Choose the correct graph below. O A. Oc. OD. 3000- N 2400- E 1800- 1200- 8- 3000- * 2400- 1800- 1200- 600- 6- 4- 2- 600- 0+ 0246 8 Age (years) -> 2 46 1500 3000 Age (years) 1500 Age (years) 3000 Age (years) (b) Calculate the sample correlation coefficient r. r= 976 (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. As age increases, the number of words in children's vocabulary tends to decrease. Vocabulary size Vocabulary size Vocabulary size
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= 976
(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. As age increases, the number of words in children's vocabulary tends to decrease.
OB. Aging causes the number of words in children's vocabulary to decrease.
C. As age increases, the number of words in children's vocabulary tends to increase.
OD. 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
OE Aging causes the number of words in children's vocabulary to increase.
OF Based on the correlation, there does not appear to be any 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 conclusion about the correlation coefficient. Let a= 0.01.
Therefore, there
v sufficient evidence at the 1% level of significance to conclude that
The critical value is
between children's ages and the number of words in their vocabulary
(Round to three decimal places as needed.)
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= 976 (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. As age increases, the number of words in children's vocabulary tends to decrease. OB. Aging causes the number of words in children's vocabulary to decrease. C. As age increases, the number of words in children's vocabulary tends to increase. OD. 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 OE Aging causes the number of words in children's vocabulary to increase. OF Based on the correlation, there does not appear to be any 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 conclusion about the correlation coefficient. Let a= 0.01. Therefore, there v sufficient evidence at the 1% level of significance to conclude that The critical value is between children's ages and the number of words in their vocabulary (Round to three decimal places as needed.)
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