john sells frozen fruit bars at a stand in a park during the summer months. he records the average weekly…
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.\ntemperature (°f) | fruit bars sold\n67 | 50\n71 | 54\n76 | 63\n76 | 65\n82 | 65\n87 | 100
Answer
Explanation:
Step1: Analyze correlation
As temperature increases, number of fruit - bars sold generally increases. So, there is a positive correlation.
Step2: Calculate slope concept
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 find an approximate value, we can take two points, say $(67,50)$ and $(87,100)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 67,y_1 = 50,x_2 = 87,y_2 = 100$. Then $m=\frac{100 - 50}{87 - 67}=\frac{50}{20}=2.5$. So, there are approximately 2.5 more fruit bars sold for every 1 degree the temperature rises.
Answer:
Positive correlation; 2.5; 1