Question

Naomi plotted the graph below to show the relationship between the temperature of her city and the number of popsicles she sold daily:
Graph in replies.

Part A: In your own words, describe the relationship between the temperature of the city and the number of popsicles sold.
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 the slope and y-intercept.

Answer 1

For part A, think of how the number of popsicles sold changes as the temperature gets higher.
For part B, there should be an equation for calculating the best slope and intercept for a set of data points. I think this resource would be useful to help understand how that works: https://courses.lumenlearning.com/introstats1/chapter/the-regression-equation/
After you calculate the answer for yourself, you can use this calculator to check your work: https://www.easycalculation.com/statistics/regression.php#:~:text=A%20linear%20regression%20line%20has%20an%20equation%20of,%28the%20value%20of%20y%20when%20x%20%3D%200%29.

Answer 2

Although, now that I look at the graph, it seems like the line of best fit would look something like this (assuming we can ignore that point in the bottom right)
Notice how the line passes exactly through the "middle" of all the points (not counting the one in the bottom right)
So, intuitively, the answer would be something like that, I think