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Answer:
Option A is correct
The linear relationship displayed by the scatter plot is; y=x+10
Step-by-step explanation:
Scatter plot states that a set of points that represent data.
To determine the best equation for a set of points from the given figure.
In general, you can use these steps as follows:
- First sketch the line that appears to most closely follow the data.
and also try to have the same number of points above and below the line.
- You can choose two points on the line and estimate their coordinates.
- Then, find the equation of the line that passes through the two points
To find the equation of linear relationship that displayed by the scatter plot
Using Slope-intercept form:
For any two points and
the equation of line is given by:
where m is the slope and it is given by:
From the figure we choose two points on the line:
i.e, (9 , 19) and ( 15 , 25)
Calculate first slope m :
Now, using slope intercept form to find the equation of line;
or
y-19 = x -9
Add both sides 19 we get;
y -19 + 19 = x -9 + 19
Simplify:
y = x+10
Therefore, the function which best expresses the linear relationship displayed by the scatter plot is; y = x +10
