Question

Part BNatalie also made a catapult, but she used stronger elastic bands than Aiden did. As a result, she was able to send her ballfarther with a shorter arm length. She also varied the length of her catapult arm while measuring the horizontal distancebetween where the tennis ball was launched and where it landed. The table presents the data she recorded while using hercatapult.Length of Catapult Arm (cm) Horizontal Distance (cm)25290.835325.430315.26042065435.850385.1453554036250378.340333.9Use the graphing tool to determine the line of best fit for Natalie's data,? QuestionWhat is the equation of the line of best fit for Natalie's data?Enter the correct answer in the box by replacing m and b in the equation. Round each number to the nearest tenth.

Answer 1

Since the horizontal distance is deprndent on the length of the catapult, we would plot the values of the horizontal distance on the vertical or y axis and the length of catapult arm on the horizontal or y axis. The scatter plot showing the line of best fit is shown below

The equation of the line of best fit is written as

y = mx + b

where

m = slope

b = y intercept

From the calculations,

slope = 3.6

y intercept = 202.6

Thus, the equation of the line of best fit is

y = 3.6x + 202.6