Question

Lines of Best Fit
This activity will help you meet these educational goals:
Mathematical Practices—You will reason abstractly and quantitatively, construct viable arguments and analyze the reasoning of others, use mathematics to model real-world situations, attend to precision, and look for and make use of structure.
Directions
Read the instructions for this self-checked activity. Type in your response to each question, and check your answers. At the end of the activity, write a brief evaluation of your work.

Activity
Steven wants to know if an equation can model a dog’s weight in terms of its height. So he collects the heights and weights of 20 dogs. Steven then plots the data on this scatter plot. In this activity, you will determine whether the given lines are the line of best fit for the following scatter plot.



Part A
Does this line fit the data? Explain your answer.

Answer 1

these are the same just a little diffrent

Answer 2

What kind of math is this I mean I am just wondering bc I am confused

Answer 3

um let me see
Scatter Plots with Linear Associations:

Answer 4

Hmm idk this is kinda hard for me

Answer 5

oh ok

Answer 6

Well, these kind of problems... it's just more of a what do you think,
Line of best fit is like... you see you have a scatterplot, what linear equation/graph can you write/draw... that makes the smallest standard deviation, and makes the line go cleanly through all of the scatter points

Answer 7

So for the first screenshot, do you think that the line is the line of best fit for that scatter plot?
Do you think that it fits the points