256,762 views
27 votes
27 votes
Imagine a scatter plot was created based on the data in the table(I’ll send the image) which equation best represents the trend line for the data

Imagine a scatter plot was created based on the data in the table(I’ll send the image-example-1
User Princey James
by
2.6k points

1 Answer

23 votes
23 votes

Answer:

y=(3/5)x+1

Step-by-step explanation:

We pick two points: (5,4) and (15,10) from the table.

Using the two-point form of the equation of a line:


\begin{gathered} (y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1) \\ (y-4)/(x-5)=(10-4)/(15-5) \\ (y-4)/(x-5)=(6)/(10) \\ (y-4)/(x-5)=(3)/(5) \end{gathered}

From the right side of the result above, the line has a positive slope, 3/5.

Next, when x=0


\begin{gathered} y-4=(3)/(5)(x-5) \\ y-4=(3)/(5)(0-5) \\ y-4=(3)/(5)(-5) \\ y-4=-3 \\ y=4-3=1 \\ \text{The y-intercept, b=1} \end{gathered}

Therefore, the equation that best represents the trend line is:


y=(3)/(5)x+1

The five points are plotted in the graph below for illustration with the slope and y-intercept highlighted:

Imagine a scatter plot was created based on the data in the table(I’ll send the image-example-1
User Marco Talento
by
2.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.