A teacher polls her class and finds the following data about the age of a student and their shoe size.

Which of the following statements about the graph is true?

The graph shows a positive correlation.

The graph shows no correlation.

The graph shows a negative correlation.

The graph shows a non-linear correlation.

1 answer

To determine the correct statement about the graph showing the relationship between the age of a student and their shoe size, we should consider what each type of correlation means:

  1. Positive Correlation: This indicates that as one variable increases, the other variable also tends to increase. For instance, if age increases and shoe size generally increases, there would be a positive correlation.

  2. Negative Correlation: This means that as one variable increases, the other variable tends to decrease. If age increases while shoe size tends to decrease, this would indicate a negative correlation.

  3. No Correlation: This suggests that there is no discernible relationship between the two variables; the values do not follow any trend.

  4. Non-linear Correlation: This would imply that there is some relationship between the two variables, but it is not a straight line (for example, a curved relationship).

Without actually seeing the graph, I cannot definitively state which of the options is correct. However, you can analyze the graph to identify any trends or patterns. If shoe size increases as age increases, it indicates a positive correlation. If there’s no discernible trend, it indicates no correlation. If shoe size decreases as age increases, it indicates a negative correlation. If the relationship appears to be curved or not linear, it would indicate a non-linear correlation.

Please check the graph for the trends to select the appropriate statement.