Question

the table shows the shoe sizes of women of different ages. which best describes the strength of the model? womens age and shoe size age shoe size 18 7 30 10 52 6 64 9 a weak positive correlation a strong positive correlation a weak negative correlation a strong negative correlation

Explanation:

Step1: Observe data trend

As age increases from 18 to 30, shoe - size increases from 7 to 10. But as age further increases from 30 to 52, shoe - size decreases from 10 to 6, and then from 52 to 64, it increases from 6 to 9. There is no clear consistent upward or downward trend.

Step2: Determine correlation strength

Since there is no clear consistent positive or negative relationship between age and shoe - size, the correlation is weak. Also, the overall pattern does not show a clear decrease (negative) as age increases, so it is not a negative correlation. It has some scattered positive - like trends in parts, so it is a weak positive correlation.

Answer:

a weak positive correlation