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. Age, x Vocabulary size, y 1 5 2 240 3 560 4...

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.

Age, x Vocabulary size, y

1 5

2 240

3 560

4 1200

5 1900

6 2600

3 540

5 2200

2 280

4 1300

6 2300

(a) Display the data in a scatter plot.

(b) Calculate the sample correlation coefficient r.

(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let α=0.01.

Jun 08, 2022

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