To answer the questions regarding the scatter plot of sweatshirts sold versus the outside temperature, here's how to interpret them based on common trends observed in such data.
Question 1:
To determine the correlation between the number of sweatshirts sold and the temperature outside, we consider the following possible options:
- A: undefined correlation - This would imply that no relationship can be determined, which is uncommon unless there is no data at all.
- B: negative correlation - This means that as temperature increases, the number of sweatshirts sold decreases. This trend is expected—people generally buy fewer sweatshirts when it’s warmer.
- C: positive correlation - This would mean that as temperature increases, so does the number of sweatshirts sold, which is typically not expected in this context.
- D: no correlation - This suggests that there is no observable relationship between the two variables.
Given the scenario where sweatshirts tend to sell more in colder temperatures, the correct response is likely B: negative correlation.
Question 2:
For the prediction of sweatshirts sold at an outside temperature of 5 °F, you would generally look for the point on the scatter plot that corresponds to that temperature and see where it intersects with the number of sweatshirts sold. Typically, for colder temperatures like 5 °F, the number of sweatshirts sold would be relatively high, assuming the data follows the general trend.
The options presented are:
- A: 170
- B: 200
- C: 230
- D: 250
Without the actual scatter plot, it's hard to give an exact answer. However, if the trend follows that colder temperatures result in more sweatshirt sales, you might expect a value on the higher end of the scale due to the low temperature. Commonly, when temperatures fall around 0-10 °F, sales might range between 200 and 300 sweatshirts sold.
Based on this reasoning, a reasonable prediction for 5 °F could be C: 230 or D: 250. If forced to choose one without the exact visual, C: 230 might be a safer bet if the trend suggests a high but not maximum quantity sold.
In summary:
- Question 1: B: negative correlation
- Question 2: C: 230 (assuming the trend suggests this quantity at that temperature).
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