Question

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

A scatter plot is shown with the title Naomis Popsicle Stand. The x axis is labeled High Temperature, and the y-axis is labeled Number of Popsicles Sold. Data points are located at 90 and 20, 85 and 17, 70 and 14, 75 and 20, 60 and 16, 50 and 14, 60 and 12, 40 and 10, 50 and 12, 80 and 8.
Part A: In your own words, describe the relationship between the temperature of the city and the number of popsicles sold. (2 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 the slope and y-intercept.

Answer 1

Answer: Part A: The graph shows a negative relationship between the temperature of the city and the number of popsicles sold. As the temperature increases, the number of popsicles sold decreases.

Part B: To make the line of best fit, we need to draw a line that comes closest to the data points. We can find the slope and y-intercept of the line by using two of the data points on the graph. Let's choose the points (90, 20) and (40, 10).

Slope = (change in y) / (change in x) = (20 - 10) / (90 - 40) = 0.2

To find the y-intercept, we can use the slope-intercept form of a line: y = mx + b, where m is the slope and b is the y-intercept. Let's use the point (90, 20) and plug in the slope we just found:

20 = 0.2(90) + b

b = 2

Therefore, the approximate slope of the line of best fit is 0.2 and the approximate y-intercept is 2.

Explanation: