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
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
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.3: Using Data Displays
Problem 1E
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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
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
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