Question

Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he sold daily:
Part A: In your own words, describe the relationship between the temperature of the city and the number of ice cream cones sold. (5 points)

Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)

Answer 1

#1 There is a positive correlation between the temperature and the amount of ice cream sold. This means that as the temperature increases the amount of ice cream also increases.

 #2 For the best fit you must calculate the slope between two points that are more-or-less representative of the entire graph.  In this case it seems to have already done this with certain points so if you take the points (15,35) and (0,5) you can calculate the slope between these two points which is m=(35-5)/(15-0)=30/15=2.  So the best fit slope for this particular case would be two and you would just draw a line through the graph at approximately the middle of the dots to best represent all of the data.

Answer 2

A) As the temperature rises more ice cream cones are bought.

B) To make a line of best fit, you need to have a line that best represents the data so it should go through as many points as possible. Let's find the slope. First, I need to pick to points I will pick 5,15 and  10,25 so let's subtract the x and we get 5 and if we subtract the y we get 10. So now we have 5,10 we need to find the y-intercept.

It is 5 so the equation is y= 10/5 + 5