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 generally increases. So, there is a positive correlation.

Step2: Calculate the slope - like concept (using two - point formula for an approximate idea)

Let's take two points \((x_1,y_1)=(67,50)\) and \((x_2,y_2)=(87,100)\). The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

$$m=\frac{100 - 50}{87 - 67}=\frac{50}{20}=2.5$$

This means for every 1 - degree rise in temperature, approximately 2.5 more fruit bars are sold.

Answer:

Positive correlation; 2.5; 1