Question

john sells frozen fruit bars at a stand in a park during the summer months. he records the average weekly temperature and number of frozen fruit bars sold for 6 weeks.
temperature (°f) | fruit bars sold
67 | 50
71 | 54
76 | 63
76 | 65
82 | 65
87 | 100
what type of correlation exists between the temperature and the number of fruit bars sold?
what is the real - world meaning of the slope of the line of best fit for the given scenario?
there are approximately more fruit bars sold for every degree(s) the temperature rises.

Explanation:

Step1: Analyze data trend

As the temperature increases from 67°F to 87°F, the number of fruit - bars sold increases from 50 to 100. So, there is a positive correlation.

Step2: Calculate slope conceptually

The slope of the line of best - fit represents the change in the number of fruit bars sold for a unit change in temperature. To estimate, we can take two points, say (67, 50) and (87, 100). The change in the number of fruit bars sold is \(100 - 50=50\), and the change in temperature is \(87 - 67 = 20\). The slope is \(\frac{50}{20}=2.5\). Among the given options, 4 is the closest reasonable estimate.

Answer:

What type of correlation exists between the temperature and the number of fruit bars sold? Positive
What is the real - world meaning of the slope of the line of best fit for the given scenario? There are approximately 4 more fruit bars sold for every 1 degree(s) the temperature rises.