studentd in s classroom took a survey on icecream sold versus temperature and graphed the results. Interpret the scatterplot to determine what type of association the scatterplot shows.

Question

A. no association
B. non-linear association
C. positive associattion
D. Negative association

Given: x-axis=temperature y=axis=Ice cream sold
Temperature outside: 60,64,68,70,74,76,78,80,82,86
Ice cream: 8,18,16,22,30,36,32,36,42,20

Answer 1

To analyze the scatterplot with the given data points, we need to look for any trends or patterns in the relationship between temperature (on the x-axis) and ice cream sold (on the y-axis).

Here are the data points you provided:

• Temperature 60 degrees: Ice cream sold = 8
• Temperature 64 degrees: Ice cream sold = 18
• Temperature 68 degrees: Ice cream sold = 16
• Temperature 70 degrees: Ice cream sold = 22
• Temperature 74 degrees: Ice cream sold = 30
• Temperature 76 degrees: Ice cream sold = 36
• Temperature 78 degrees: Ice cream sold = 32
• Temperature 80 degrees: Ice cream sold = 36
• Temperature 82 degrees: Ice cream sold = 42
• Temperature 86 degrees: Ice cream sold = 20

Now, let's analyze the trends:

1. Initial increase: From 60 to 76 degrees, there is a noticeable increase in ice cream sold. It suggests that as the temperature rises, the amount of ice cream sold also increases.

2. Peak and decline: After reaching a peak around 82 degrees (42 ice creams sold), the ice cream sales drop to 20 at 86 degrees. This indicates that while sales along the temperature rise initially trend positively, there is a final decrease as temperatures become extremely high.

Based on this analysis, the scatterplot does not show a consistent linear relationship and has peaks and falls, suggesting complexity in the association.

Therefore, the most appropriate interpretation of the scatterplot would be:

B. non-linear association.

The association is not purely positive or negative; it has an initial increase, then a peak, and a subsequent decrease, indicating a non-linear relationship.