Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

select the correct answer from each drop - down menu. sylvia and patric…

Question

select the correct answer from each drop - down menu.
sylvia and patrick plotted the information they gathered on the weight of cars and the mileage they get. then they each drew a line on the graph that they felt best fit the data.
sylvias line
patricks line

Explanation:

Step1: Understand line - of - best - fit concept

A line of best fit is a line that minimizes the distance between the data points and the line.

Step2: Analyze Sylvia's line

Looking at Sylvia's graph, her line passes through the middle of the cluster of data points. The data points are evenly distributed around the line, which means it represents the general trend of the relationship between weight and mileage well. So, Sylvia's line is a line of best fit because her line minimizes the distance between the data points and the line.

Step3: Analyze Patrick's line

Patrick's line does not pass through the middle of the cluster of data points. Many of the data points are far from the line, and it does not represent the general trend as well as Sylvia's line. So, Patrick's line is not a line of best fit.

Answer:

Sylvia's line is a line of best fit because her line minimizes the distance between the data points and the line. Patrick's line is not a line of best fit.