Which function best expresses the linear relationship displayed by the scatter plot a)y= x +10 b) y = x +19 c) y= 10x +19 d) y= 19x + 10

A

Step-by-step explanation:

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:

and also try to have the same number of points above and below the line.

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

the expected value of the random variable : 0, 1 and 2

step-by-step explanation: