9.1. 3.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. X Y 0 0 1 500 2 600 4 1200 6 1800 8 2400...

9.1.

3.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.

X Y

0 0

1 500

2 600

4 1200

6 1800

8 2400

10 3000

3(b) Calculate the sample correlation coefficient r.

There is

(1)

linear correlation.

Interpret the correlation. Choose the correct answer below.

Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabulary.

Aging causes the number of words in children's vocabulary to increase.

As age increases, the number of words in children's vocabulary tends to decrease.

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

Aging causes the number of words in children's vocabulary to decrease.

As age increases, the number of words in children's vocabulary tends to increase.

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

α=0.01.

The critical value is

nothing.

Therefore, there

(2)

sufficient evidence at the

level of significance to conclude that

(3)

between children's ages and the number of words in their vocabulary.

Jun 08, 2022

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