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.
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: Determine the correlation type

As the temperature increases, the number of fruit bars sold also increases. So, there is a positive correlation.

Step2: Calculate the slope concept

The slope of the line of best fit in a regression of temperature (\(x\)) and fruit - bars sold (\(y\)) represents the change in \(y\) (number of fruit bars sold) per unit change in \(x\) (temperature).

Answer:

• Positive correlation
• There are approximately \(1.5\) more fruit bars sold for every \(1\) degree(s) the temperature rises. (Note: To get the exact slope value, one would need to perform a linear regression calculation. But conceptually, slope = \(\frac{\Delta y}{\Delta x}\), and the general interpretation is as above for the real - world meaning)