A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
Answer B questions
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.
Data table
(a) Display the data in a scatter plot. Choose the correct graph below.
OA.
Age, x
Vocabulary size, y O
3000-
S
Critical values for the pearson correlation coefficient
1
3
2400-
2
260
1800-
3
520
1200-
Coefficient
1100
600-
5
2300
0-
0 2 4 6 8
The correlation is significant when the absolute value of ,
is greater than the value in the table.
6
2600
Age (years)
610
2100
(b) Calculate the sample correlation coefficient r.
a = 0.05
0.950
0.878
0.811
0.754
0.707
0.666
0.632
0.602
a = 0.01
0.990
0.959
0.917
0.875
0.834
0.798
0.765
0.735
250
4
4
1400
(Round to three decimal places as needed.)
6
6.
2400
7.
8.
9
10
11
Print
Done
12
0.576
0.708
0.684
0.661
0.641
13
0.553
0.532
14
15
0.514
16
0.497
0.623
Check answe
0.606
0.590
17
0.482
Clear all
Help me solve this
View an exampl
0 468
18
7:14 AM
61°F
11/16/2021
Type here to search
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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 coefficient. Data table (a) Display the data in a scatter plot. Choose the correct graph below. OA. Age, x Vocabulary size, y O 3000- S Critical values for the pearson correlation coefficient 1 3 2400- 2 260 1800- 3 520 1200- Coefficient 1100 600- 5 2300 0- 0 2 4 6 8 The correlation is significant when the absolute value of , is greater than the value in the table. 6 2600 Age (years) 610 2100 (b) Calculate the sample correlation coefficient r. a = 0.05 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 a = 0.01 0.990 0.959 0.917 0.875 0.834 0.798 0.765 0.735 250 4 4 1400 (Round to three decimal places as needed.) 6 6. 2400 7. 8. 9 10 11 Print Done 12 0.576 0.708 0.684 0.661 0.641 13 0.553 0.532 14 15 0.514 16 0.497 0.623 Check answe 0.606 0.590 17 0.482 Clear all Help me solve this View an exampl 0 468 18 7:14 AM 61°F 11/16/2021 Type here to search
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